---
_id: '21944'
article_number: '044116'
author:
- first_name: Feliks
full_name: Nüske, Feliks
id: '81513'
last_name: Nüske
orcid: 0000-0003-2444-7889
- first_name: Lorenzo
full_name: Boninsegna, Lorenzo
last_name: Boninsegna
- first_name: Cecilia
full_name: Clementi, Cecilia
last_name: Clementi
citation:
ama: Nüske F, Boninsegna L, Clementi C. Coarse-graining molecular systems by spectral
matching. The Journal of Chemical Physics. 2019. doi:10.1063/1.5100131
apa: Nüske, F., Boninsegna, L., & Clementi, C. (2019). Coarse-graining molecular
systems by spectral matching. The Journal of Chemical Physics. https://doi.org/10.1063/1.5100131
bibtex: '@article{Nüske_Boninsegna_Clementi_2019, title={Coarse-graining molecular
systems by spectral matching}, DOI={10.1063/1.5100131},
number={044116}, journal={The Journal of Chemical Physics}, author={Nüske, Feliks
and Boninsegna, Lorenzo and Clementi, Cecilia}, year={2019} }'
chicago: Nüske, Feliks, Lorenzo Boninsegna, and Cecilia Clementi. “Coarse-Graining
Molecular Systems by Spectral Matching.” The Journal of Chemical Physics,
2019. https://doi.org/10.1063/1.5100131.
ieee: F. Nüske, L. Boninsegna, and C. Clementi, “Coarse-graining molecular systems
by spectral matching,” The Journal of Chemical Physics, 2019.
mla: Nüske, Feliks, et al. “Coarse-Graining Molecular Systems by Spectral Matching.”
The Journal of Chemical Physics, 044116, 2019, doi:10.1063/1.5100131.
short: F. Nüske, L. Boninsegna, C. Clementi, The Journal of Chemical Physics (2019).
date_created: 2021-04-30T17:01:13Z
date_updated: 2022-01-06T06:55:20Z
department:
- _id: '101'
doi: 10.1063/1.5100131
extern: '1'
language:
- iso: eng
publication: The Journal of Chemical Physics
publication_identifier:
issn:
- 0021-9606
- 1089-7690
publication_status: published
status: public
title: Coarse-graining molecular systems by spectral matching
type: journal_article
user_id: '81513'
year: '2019'
...
---
_id: '8577'
author:
- first_name: Christiane
full_name: Kuklinski, Christiane
last_name: Kuklinski
- first_name: Elena
full_name: Leis, Elena
last_name: Leis
- first_name: Michael
full_name: Liebendörfer, Michael
last_name: Liebendörfer
- first_name: Reinhard
full_name: Hochmuth, Reinhard
last_name: Hochmuth
citation:
ama: 'Kuklinski C, Leis E, Liebendörfer M, Hochmuth R. Erklärung von Mathematikleistung
im Ingenieursstudium. In: Beiträge Zum Mathematikunterricht 2019. ; 2019.'
apa: Kuklinski, C., Leis, E., Liebendörfer, M., & Hochmuth, R. (2019). Erklärung
von Mathematikleistung im Ingenieursstudium. In Beiträge zum Mathematikunterricht
2019.
bibtex: '@inbook{Kuklinski_Leis_Liebendörfer_Hochmuth_2019, title={Erklärung von
Mathematikleistung im Ingenieursstudium}, booktitle={Beiträge zum Mathematikunterricht
2019}, author={Kuklinski, Christiane and Leis, Elena and Liebendörfer, Michael
and Hochmuth, Reinhard}, year={2019} }'
chicago: Kuklinski, Christiane, Elena Leis, Michael Liebendörfer, and Reinhard Hochmuth.
“Erklärung von Mathematikleistung Im Ingenieursstudium.” In Beiträge Zum Mathematikunterricht
2019, 2019.
ieee: C. Kuklinski, E. Leis, M. Liebendörfer, and R. Hochmuth, “Erklärung von Mathematikleistung
im Ingenieursstudium,” in Beiträge zum Mathematikunterricht 2019, 2019.
mla: Kuklinski, Christiane, et al. “Erklärung von Mathematikleistung Im Ingenieursstudium.”
Beiträge Zum Mathematikunterricht 2019, 2019.
short: 'C. Kuklinski, E. Leis, M. Liebendörfer, R. Hochmuth, in: Beiträge Zum Mathematikunterricht
2019, 2019.'
date_created: 2019-03-25T15:35:44Z
date_updated: 2022-01-06T07:03:57Z
department:
- _id: '10'
language:
- iso: eng
publication: Beiträge zum Mathematikunterricht 2019
status: public
title: Erklärung von Mathematikleistung im Ingenieursstudium
type: book_chapter
user_id: '30933'
year: '2019'
...
---
_id: '16709'
author:
- first_name: Tuhin
full_name: Sahai, Tuhin
last_name: Sahai
- first_name: Adrian
full_name: Ziessler, Adrian
last_name: Ziessler
- first_name: Stefan
full_name: Klus, Stefan
last_name: Klus
- first_name: Michael
full_name: Dellnitz, Michael
last_name: Dellnitz
citation:
ama: Sahai T, Ziessler A, Klus S, Dellnitz M. Continuous relaxations for the traveling
salesman problem. Nonlinear Dynamics. 2019. doi:10.1007/s11071-019-05092-5
apa: Sahai, T., Ziessler, A., Klus, S., & Dellnitz, M. (2019). Continuous relaxations
for the traveling salesman problem. Nonlinear Dynamics. https://doi.org/10.1007/s11071-019-05092-5
bibtex: '@article{Sahai_Ziessler_Klus_Dellnitz_2019, title={Continuous relaxations
for the traveling salesman problem}, DOI={10.1007/s11071-019-05092-5},
journal={Nonlinear Dynamics}, author={Sahai, Tuhin and Ziessler, Adrian and Klus,
Stefan and Dellnitz, Michael}, year={2019} }'
chicago: Sahai, Tuhin, Adrian Ziessler, Stefan Klus, and Michael Dellnitz. “Continuous
Relaxations for the Traveling Salesman Problem.” Nonlinear Dynamics, 2019.
https://doi.org/10.1007/s11071-019-05092-5.
ieee: T. Sahai, A. Ziessler, S. Klus, and M. Dellnitz, “Continuous relaxations for
the traveling salesman problem,” Nonlinear Dynamics, 2019.
mla: Sahai, Tuhin, et al. “Continuous Relaxations for the Traveling Salesman Problem.”
Nonlinear Dynamics, 2019, doi:10.1007/s11071-019-05092-5.
short: T. Sahai, A. Ziessler, S. Klus, M. Dellnitz, Nonlinear Dynamics (2019).
date_created: 2020-04-16T14:05:04Z
date_updated: 2022-01-06T06:52:55Z
department:
- _id: '101'
doi: 10.1007/s11071-019-05092-5
language:
- iso: eng
publication: Nonlinear Dynamics
publication_identifier:
issn:
- 0924-090X
- 1573-269X
publication_status: published
status: public
title: Continuous relaxations for the traveling salesman problem
type: journal_article
user_id: '47427'
year: '2019'
...
---
_id: '10593'
abstract:
- lang: eng
text: We present a new framework for optimal and feedback control of PDEs using
Koopman operator-based reduced order models (K-ROMs). The Koopman operator is
a linear but infinite-dimensional operator which describes the dynamics of observables.
A numerical approximation of the Koopman operator therefore yields a linear system
for the observation of an autonomous dynamical system. In our approach, by introducing
a finite number of constant controls, the dynamic control system is transformed
into a set of autonomous systems and the corresponding optimal control problem
into a switching time optimization problem. This allows us to replace each of
these systems by a K-ROM which can be solved orders of magnitude faster. By this
approach, a nonlinear infinite-dimensional control problem is transformed into
a low-dimensional linear problem. Using a recent convergence result for the numerical
approximation via Extended Dynamic Mode Decomposition (EDMD), we show that the
value of the K-ROM based objective function converges in measure to the value
of the full objective function. To illustrate the results, we consider the 1D
Burgers equation and the 2D Navier–Stokes equations. The numerical experiments
show remarkable performance concerning both solution times and accuracy.
article_type: original
author:
- first_name: Sebastian
full_name: Peitz, Sebastian
id: '47427'
last_name: Peitz
orcid: https://orcid.org/0000-0002-3389-793X
- first_name: Stefan
full_name: Klus, Stefan
last_name: Klus
citation:
ama: Peitz S, Klus S. Koopman operator-based model reduction for switched-system
control of PDEs. Automatica. 2019;106:184-191. doi:10.1016/j.automatica.2019.05.016
apa: Peitz, S., & Klus, S. (2019). Koopman operator-based model reduction for
switched-system control of PDEs. Automatica, 106, 184–191. https://doi.org/10.1016/j.automatica.2019.05.016
bibtex: '@article{Peitz_Klus_2019, title={Koopman operator-based model reduction
for switched-system control of PDEs}, volume={106}, DOI={10.1016/j.automatica.2019.05.016},
journal={Automatica}, author={Peitz, Sebastian and Klus, Stefan}, year={2019},
pages={184–191} }'
chicago: 'Peitz, Sebastian, and Stefan Klus. “Koopman Operator-Based Model Reduction
for Switched-System Control of PDEs.” Automatica 106 (2019): 184–91. https://doi.org/10.1016/j.automatica.2019.05.016.'
ieee: S. Peitz and S. Klus, “Koopman operator-based model reduction for switched-system
control of PDEs,” Automatica, vol. 106, pp. 184–191, 2019.
mla: Peitz, Sebastian, and Stefan Klus. “Koopman Operator-Based Model Reduction
for Switched-System Control of PDEs.” Automatica, vol. 106, 2019, pp. 184–91,
doi:10.1016/j.automatica.2019.05.016.
short: S. Peitz, S. Klus, Automatica 106 (2019) 184–191.
date_created: 2019-07-10T08:08:16Z
date_updated: 2022-01-06T06:50:46Z
department:
- _id: '101'
doi: 10.1016/j.automatica.2019.05.016
intvolume: ' 106'
language:
- iso: eng
page: 184-191
publication: Automatica
publication_identifier:
issn:
- 0005-1098
publication_status: published
status: public
title: Koopman operator-based model reduction for switched-system control of PDEs
type: journal_article
user_id: '47427'
volume: 106
year: '2019'
...
---
_id: '10595'
abstract:
- lang: eng
text: In this article we show that the boundary of the Pareto critical set of an
unconstrained multiobjective optimization problem (MOP) consists of Pareto critical
points of subproblems where only a subset of the set of objective functions is
taken into account. If the Pareto critical set is completely described by its
boundary (e.g., if we have more objective functions than dimensions in decision
space), then this can be used to efficiently solve the MOP by solving a number
of MOPs with fewer objective functions. If this is not the case, the results can
still give insight into the structure of the Pareto critical set.
article_type: original
author:
- first_name: Bennet
full_name: Gebken, Bennet
id: '32643'
last_name: Gebken
- first_name: Sebastian
full_name: Peitz, Sebastian
id: '47427'
last_name: Peitz
orcid: https://orcid.org/0000-0002-3389-793X
- first_name: Michael
full_name: Dellnitz, Michael
last_name: Dellnitz
citation:
ama: Gebken B, Peitz S, Dellnitz M. On the hierarchical structure of Pareto critical
sets. Journal of Global Optimization. 2019;73(4):891-913. doi:10.1007/s10898-019-00737-6
apa: Gebken, B., Peitz, S., & Dellnitz, M. (2019). On the hierarchical structure
of Pareto critical sets. Journal of Global Optimization, 73(4),
891–913. https://doi.org/10.1007/s10898-019-00737-6
bibtex: '@article{Gebken_Peitz_Dellnitz_2019, title={On the hierarchical structure
of Pareto critical sets}, volume={73}, DOI={10.1007/s10898-019-00737-6},
number={4}, journal={Journal of Global Optimization}, author={Gebken, Bennet and
Peitz, Sebastian and Dellnitz, Michael}, year={2019}, pages={891–913} }'
chicago: 'Gebken, Bennet, Sebastian Peitz, and Michael Dellnitz. “On the Hierarchical
Structure of Pareto Critical Sets.” Journal of Global Optimization 73,
no. 4 (2019): 891–913. https://doi.org/10.1007/s10898-019-00737-6.'
ieee: B. Gebken, S. Peitz, and M. Dellnitz, “On the hierarchical structure of Pareto
critical sets,” Journal of Global Optimization, vol. 73, no. 4, pp. 891–913,
2019.
mla: Gebken, Bennet, et al. “On the Hierarchical Structure of Pareto Critical Sets.”
Journal of Global Optimization, vol. 73, no. 4, 2019, pp. 891–913, doi:10.1007/s10898-019-00737-6.
short: B. Gebken, S. Peitz, M. Dellnitz, Journal of Global Optimization 73 (2019)
891–913.
date_created: 2019-07-10T08:13:31Z
date_updated: 2022-01-06T06:50:46Z
department:
- _id: '101'
doi: 10.1007/s10898-019-00737-6
intvolume: ' 73'
issue: '4'
language:
- iso: eng
page: 891-913
publication: Journal of Global Optimization
publication_identifier:
issn:
- 0925-5001
- 1573-2916
publication_status: published
status: public
title: On the hierarchical structure of Pareto critical sets
type: journal_article
user_id: '47427'
volume: 73
year: '2019'
...
---
_id: '10597'
abstract:
- lang: eng
text: In comparison to classical control approaches in the field of electrical drives
like the field-oriented control (FOC), model predictive control (MPC) approaches
are able to provide a higher control performance. This refers to shorter settling
times, lower overshoots, and a better decoupling of control variables in case
of multi-variable controls. However, this can only be achieved if the used prediction
model covers the actual behavior of the plant sufficiently well. In case of model
deviations, the performance utilizing MPC remains below its potential. This results
in effects like increased current ripple or steady state setpoint deviations.
In order to achieve a high control performance, it is therefore necessary to adapt
the model to the real plant behavior. When using an online system identification,
a less accurate model is sufficient for commissioning of the drive system. In
this paper, the combination of a finite-control-set MPC (FCS-MPC) with a system
identification is proposed. The method does not require high-frequency signal
injection, but uses the measured values already required for the FCS-MPC. An evaluation
of the least squares-based identification on a laboratory test bench showed that
the model accuracy and thus the control performance could be improved by an online
update of the prediction models.
author:
- first_name: Soren
full_name: Hanke, Soren
last_name: Hanke
- first_name: Sebastian
full_name: Peitz, Sebastian
id: '47427'
last_name: Peitz
orcid: https://orcid.org/0000-0002-3389-793X
- first_name: Oliver
full_name: Wallscheid, Oliver
last_name: Wallscheid
- 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, Böcker J, Dellnitz M. Finite-Control-Set Model
Predictive Control for a Permanent Magnet Synchronous Motor Application with Online
Least Squares System Identification. In: 2019 IEEE International Symposium
on Predictive Control of Electrical Drives and Power Electronics (PRECEDE).
; 2019. doi:10.1109/precede.2019.8753313'
apa: Hanke, S., Peitz, S., Wallscheid, O., Böcker, J., & Dellnitz, M. (2019).
Finite-Control-Set Model Predictive Control for a Permanent Magnet Synchronous
Motor Application with Online Least Squares System Identification. In 2019
IEEE International Symposium on Predictive Control of Electrical Drives and Power
Electronics (PRECEDE). https://doi.org/10.1109/precede.2019.8753313
bibtex: '@inproceedings{Hanke_Peitz_Wallscheid_Böcker_Dellnitz_2019, title={Finite-Control-Set
Model Predictive Control for a Permanent Magnet Synchronous Motor Application
with Online Least Squares System Identification}, DOI={10.1109/precede.2019.8753313},
booktitle={2019 IEEE International Symposium on Predictive Control of Electrical
Drives and Power Electronics (PRECEDE)}, author={Hanke, Soren and Peitz, Sebastian
and Wallscheid, Oliver and Böcker, Joachim and Dellnitz, Michael}, year={2019}
}'
chicago: Hanke, Soren, Sebastian Peitz, Oliver Wallscheid, Joachim Böcker, and Michael
Dellnitz. “Finite-Control-Set Model Predictive Control for a Permanent Magnet
Synchronous Motor Application with Online Least Squares System Identification.”
In 2019 IEEE International Symposium on Predictive Control of Electrical Drives
and Power Electronics (PRECEDE), 2019. https://doi.org/10.1109/precede.2019.8753313.
ieee: S. Hanke, S. Peitz, O. Wallscheid, J. Böcker, and M. Dellnitz, “Finite-Control-Set
Model Predictive Control for a Permanent Magnet Synchronous Motor Application
with Online Least Squares System Identification,” in 2019 IEEE International
Symposium on Predictive Control of Electrical Drives and Power Electronics (PRECEDE),
2019.
mla: Hanke, Soren, et al. “Finite-Control-Set Model Predictive Control for a Permanent
Magnet Synchronous Motor Application with Online Least Squares System Identification.”
2019 IEEE International Symposium on Predictive Control of Electrical Drives
and Power Electronics (PRECEDE), 2019, doi:10.1109/precede.2019.8753313.
short: 'S. Hanke, S. Peitz, O. Wallscheid, J. Böcker, M. Dellnitz, in: 2019 IEEE
International Symposium on Predictive Control of Electrical Drives and Power Electronics
(PRECEDE), 2019.'
date_created: 2019-07-10T08:15:23Z
date_updated: 2022-01-06T06:50:46Z
department:
- _id: '101'
doi: 10.1109/precede.2019.8753313
language:
- iso: eng
publication: 2019 IEEE International Symposium on Predictive Control of Electrical
Drives and Power Electronics (PRECEDE)
publication_identifier:
isbn:
- '9781538694145'
publication_status: published
status: public
title: Finite-Control-Set Model Predictive Control for a Permanent Magnet Synchronous
Motor Application with Online Least Squares System Identification
type: conference
user_id: '47427'
year: '2019'
...
---
_id: '13106'
author:
- first_name: Jan
full_name: Schumacher, Jan
id: '26809'
last_name: Schumacher
orcid: 0000-0002-6676-9774
citation:
ama: 'Schumacher J. Rekonstruktion diagrammatischen Schließens am Beispiel der Subtraktion
negativer Zahlen. In: Beiträge zum Mathematikunterricht 2019.'
apa: Schumacher, J. (n.d.). Rekonstruktion diagrammatischen Schließens am Beispiel
der Subtraktion negativer Zahlen. In Beiträge zum Mathematikunterricht 2019.
Regensburg.
bibtex: '@inproceedings{Schumacher, title={Rekonstruktion diagrammatischen Schließens
am Beispiel der Subtraktion negativer Zahlen}, booktitle={Beiträge zum Mathematikunterricht
2019}, author={Schumacher, Jan} }'
chicago: Schumacher, Jan. “Rekonstruktion diagrammatischen Schließens am Beispiel
der Subtraktion negativer Zahlen.” In Beiträge zum Mathematikunterricht 2019,
n.d.
ieee: J. Schumacher, “Rekonstruktion diagrammatischen Schließens am Beispiel der
Subtraktion negativer Zahlen,” in Beiträge zum Mathematikunterricht 2019,
Regensburg.
mla: Schumacher, Jan. “Rekonstruktion diagrammatischen Schließens am Beispiel der
Subtraktion negativer Zahlen.” Beiträge zum Mathematikunterricht 2019.
short: 'J. Schumacher, in: Beiträge zum Mathematikunterricht 2019, n.d.'
conference:
location: Regensburg
name: 53. Jahrestagung der Gesellschaft für Didaktik der Mathematik
date_created: 2019-08-30T11:58:37Z
date_updated: 2022-01-06T06:51:28Z
department:
- _id: '360'
- _id: '98'
language:
- iso: ger
publication: Beiträge zum Mathematikunterricht 2019
publication_status: inpress
status: public
title: Rekonstruktion diagrammatischen Schließens am Beispiel der Subtraktion negativer
Zahlen
type: conference
user_id: '26809'
year: '2019'
...
---
_id: '13107'
abstract:
- lang: eng
text: In this paper, we first outline a Hypothetical Learning Trajectory (HLT),
which aims at a formal understanding of the rules for manipulating integers. The
HLT is based on task formats, which promote algebraic thinking in terms of generalizing
rules from the analysis of patterns and should be familiar to students from their
mathematics education experiences in elementary school. Second, we analyze two
students' actual learning process based on Peircean semiotics. The analysis shows
that the actual learning process diverges from the hypothesized learning process
in that the students do not relate the different levels of the diagrams in a way
that allows them to extrapolate the rule for the subtraction of negative numbers.
Based on this finding, we point out consequences for the design of the tasks.
author:
- first_name: Jan
full_name: Schumacher, Jan
id: '26809'
last_name: Schumacher
orcid: 0000-0002-6676-9774
- first_name: Sebastian
full_name: Rezat, Sebastian
last_name: Rezat
citation:
ama: 'Schumacher J, Rezat S. A Hypothetical Learning Trajectory for the Learning
of the Rules for Manipulating Integers. In: Jankvist UT, Van den Heuvel-Panhuizen
M, Veldhuis M, eds. Proceedings of the Eleventh Congress of the European Society
for Research in Mathematics Education (CERME11, February 6 – 10, 2019). Utrecht,
the Netherlands: Freudenthal Group & Freudenthal Institute, Utrecht University
and ERME.'
apa: 'Schumacher, J., & Rezat, S. (n.d.). A Hypothetical Learning Trajectory
for the Learning of the Rules for Manipulating Integers. In U. T. Jankvist, M.
Van den Heuvel-Panhuizen, & M. Veldhuis (Eds.), Proceedings of the Eleventh
Congress of the European Society for Research in Mathematics Education (CERME11,
February 6 – 10, 2019). Utrecht, the Netherlands: Freudenthal Group &
Freudenthal Institute, Utrecht University and ERME.'
bibtex: '@inproceedings{Schumacher_Rezat, place={Utrecht, the Netherlands}, title={A
Hypothetical Learning Trajectory for the Learning of the Rules for Manipulating
Integers}, booktitle={Proceedings of the Eleventh Congress of the European Society
for Research in Mathematics Education (CERME11, February 6 – 10, 2019)}, publisher={Freudenthal
Group & Freudenthal Institute, Utrecht University and ERME}, author={Schumacher,
Jan and Rezat, Sebastian}, editor={Jankvist, Uffe Thomas and Van den Heuvel-Panhuizen,
Marja and Veldhuis, MichielEditors} }'
chicago: 'Schumacher, Jan, and Sebastian Rezat. “A Hypothetical Learning Trajectory
for the Learning of the Rules for Manipulating Integers.” In Proceedings of
the Eleventh Congress of the European Society for Research in Mathematics Education
(CERME11, February 6 – 10, 2019), edited by Uffe Thomas Jankvist, Marja Van
den Heuvel-Panhuizen, and Michiel Veldhuis. Utrecht, the Netherlands: Freudenthal
Group & Freudenthal Institute, Utrecht University and ERME, n.d.'
ieee: J. Schumacher and S. Rezat, “A Hypothetical Learning Trajectory for the Learning
of the Rules for Manipulating Integers,” in Proceedings of the Eleventh Congress
of the European Society for Research in Mathematics Education (CERME11, February
6 – 10, 2019), Utrecht.
mla: Schumacher, Jan, and Sebastian Rezat. “A Hypothetical Learning Trajectory for
the Learning of the Rules for Manipulating Integers.” Proceedings of the Eleventh
Congress of the European Society for Research in Mathematics Education (CERME11,
February 6 – 10, 2019), edited by Uffe Thomas Jankvist et al., Freudenthal
Group & Freudenthal Institute, Utrecht University and ERME.
short: 'J. Schumacher, S. Rezat, in: U.T. Jankvist, M. Van den Heuvel-Panhuizen,
M. Veldhuis (Eds.), Proceedings of the Eleventh Congress of the European Society
for Research in Mathematics Education (CERME11, February 6 – 10, 2019), Freudenthal
Group & Freudenthal Institute, Utrecht University and ERME, Utrecht, the Netherlands,
n.d.'
conference:
end_date: 2019-02-10
location: Utrecht
name: CERME 11
start_date: 2019-02-06
date_created: 2019-08-30T12:00:50Z
date_updated: 2022-01-06T06:51:28Z
department:
- _id: '360'
- _id: '98'
editor:
- first_name: Uffe Thomas
full_name: Jankvist, Uffe Thomas
last_name: Jankvist
- first_name: Marja
full_name: Van den Heuvel-Panhuizen, Marja
last_name: Van den Heuvel-Panhuizen
- first_name: Michiel
full_name: Veldhuis, Michiel
last_name: Veldhuis
keyword:
- diagrammatic reasoning
- hypothetical learning trajectory
- induction extrapolatory method
- integers
- negative numbers
- permanence principle
- semiotics
language:
- iso: eng
place: Utrecht, the Netherlands
publication: Proceedings of the Eleventh Congress of the European Society for Research
in Mathematics Education (CERME11, February 6 – 10, 2019)
publication_status: accepted
publisher: Freudenthal Group & Freudenthal Institute, Utrecht University and ERME
quality_controlled: '1'
status: public
title: A Hypothetical Learning Trajectory for the Learning of the Rules for Manipulating
Integers
type: conference
user_id: '26809'
year: '2019'
...
---
_id: '13139'
citation:
ama: 'Rezat S, Fan L, Hattermann M, Schumacher J, Wuschke H, eds. Proceedings
of the Third International Conference on Mathematics Textbook Research and Development:
16-19 September 2019 Paderborn, Germany. Paderborn: Universitätsbibliothek
Paderborn; 2019. doi:10.17619/UNIPB/1-768'
apa: 'Rezat, S., Fan, L., Hattermann, M., Schumacher, J., & Wuschke, H. (Eds.).
(2019). Proceedings of the Third International Conference on Mathematics Textbook
Research and Development: 16-19 September 2019 Paderborn, Germany. Presented
at the Third International Conference on Mathematics Textbook Research and Development,
Paderborn: Universitätsbibliothek Paderborn. https://doi.org/10.17619/UNIPB/1-768'
bibtex: '@book{Rezat_Fan_Hattermann_Schumacher_Wuschke_2019, place={Paderborn},
title={Proceedings of the Third International Conference on Mathematics Textbook
Research and Development: 16-19 September 2019 Paderborn, Germany}, DOI={10.17619/UNIPB/1-768},
publisher={Universitätsbibliothek Paderborn}, year={2019} }'
chicago: 'Rezat, Sebastian, Lianghuo Fan, Mathias Hattermann, Jan Schumacher, and
Holger Wuschke, eds. Proceedings of the Third International Conference on Mathematics
Textbook Research and Development: 16-19 September 2019 Paderborn, Germany.
Paderborn: Universitätsbibliothek Paderborn, 2019. https://doi.org/10.17619/UNIPB/1-768.'
ieee: 'S. Rezat, L. Fan, M. Hattermann, J. Schumacher, and H. Wuschke, Eds., Proceedings
of the Third International Conference on Mathematics Textbook Research and Development:
16-19 September 2019 Paderborn, Germany. Paderborn: Universitätsbibliothek
Paderborn, 2019.'
mla: 'Rezat, Sebastian, et al., editors. Proceedings of the Third International
Conference on Mathematics Textbook Research and Development: 16-19 September 2019
Paderborn, Germany. Universitätsbibliothek Paderborn, 2019, doi:10.17619/UNIPB/1-768.'
short: 'S. Rezat, L. Fan, M. Hattermann, J. Schumacher, H. Wuschke, eds., Proceedings
of the Third International Conference on Mathematics Textbook Research and Development:
16-19 September 2019 Paderborn, Germany, Universitätsbibliothek Paderborn, Paderborn,
2019.'
conference:
end_date: 2019-09-19
location: Paderborn
name: Third International Conference on Mathematics Textbook Research and Development
start_date: 2019-09-16
date_created: 2019-09-05T12:13:20Z
date_updated: 2022-01-06T06:51:29Z
department:
- _id: '360'
- _id: '98'
doi: 10.17619/UNIPB/1-768
editor:
- first_name: Sebastian
full_name: Rezat, Sebastian
last_name: Rezat
- first_name: Lianghuo
full_name: Fan, Lianghuo
last_name: Fan
- first_name: Mathias
full_name: Hattermann, Mathias
last_name: Hattermann
- first_name: Jan
full_name: Schumacher, Jan
id: '26809'
last_name: Schumacher
orcid: 0000-0002-6676-9774
- first_name: Holger
full_name: Wuschke, Holger
last_name: Wuschke
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.17619/UNIPB/1-768
oa: '1'
page: '392'
place: Paderborn
publication_status: published
publisher: Universitätsbibliothek Paderborn
status: public
title: 'Proceedings of the Third International Conference on Mathematics Textbook
Research and Development: 16-19 September 2019 Paderborn, Germany'
type: book_editor
user_id: '26809'
year: '2019'
...
---
_id: '32089'
author:
- first_name: Uta
full_name: Häsel-Weide, Uta
id: '60267'
last_name: Häsel-Weide
- first_name: M.
full_name: Nührenbörger, M.
last_name: Nührenbörger
citation:
ama: 'Häsel-Weide U, Nührenbörger M. Materials für inclusive mathematics education
- Design principles an practices. In: Rezat S, Fan L, Hattermann M, Schumacher
J, Wuschke H, Universitätsbibliothek Paderborn, eds. Proceedings of the Third
International Conference on Mathematics Textbook Research an Development.
; 2019:185-190.'
apa: Häsel-Weide, U., & Nührenbörger, M. (2019). Materials für inclusive mathematics
education - Design principles an practices. In S. Rezat, L. Fan, M. Hattermann,
J. Schumacher, H. Wuschke, & Universitätsbibliothek Paderborn (Eds.), Proceedings
of the Third International Conference on Mathematics Textbook Research an Development
(pp. 185–190).
bibtex: '@inproceedings{Häsel-Weide_Nührenbörger_2019, place={Paderborn}, title={Materials
für inclusive mathematics education - Design principles an practices.}, booktitle={Proceedings
of the Third International Conference on Mathematics Textbook Research an Development},
author={Häsel-Weide, Uta and Nührenbörger, M.}, editor={Rezat, Sebastian and Fan,
L. and Hattermann, M. and Schumacher, J. and Wuschke, H. and Universitätsbibliothek
Paderborn}, year={2019}, pages={185–190} }'
chicago: Häsel-Weide, Uta, and M. Nührenbörger. “Materials Für Inclusive Mathematics
Education - Design Principles an Practices.” In Proceedings of the Third International
Conference on Mathematics Textbook Research an Development, edited by Sebastian
Rezat, L. Fan, M. Hattermann, J. Schumacher, H. Wuschke, and Universitätsbibliothek
Paderborn, 185–90. Paderborn, 2019.
ieee: U. Häsel-Weide and M. Nührenbörger, “Materials für inclusive mathematics education
- Design principles an practices.,” in Proceedings of the Third International
Conference on Mathematics Textbook Research an Development, 2019, pp. 185–190.
mla: Häsel-Weide, Uta, and M. Nührenbörger. “Materials Für Inclusive Mathematics
Education - Design Principles an Practices.” Proceedings of the Third International
Conference on Mathematics Textbook Research an Development, edited by Sebastian
Rezat et al., 2019, pp. 185–90.
short: 'U. Häsel-Weide, M. Nührenbörger, in: S. Rezat, L. Fan, M. Hattermann, J.
Schumacher, H. Wuschke, Universitätsbibliothek Paderborn (Eds.), Proceedings of
the Third International Conference on Mathematics Textbook Research an Development,
Paderborn, 2019, pp. 185–190.'
corporate_editor:
- Universitätsbibliothek Paderborn
date_created: 2022-06-21T05:59:51Z
date_updated: 2022-06-21T05:59:59Z
department:
- _id: '98'
- _id: '543'
editor:
- first_name: Sebastian
full_name: Rezat, Sebastian
last_name: Rezat
- first_name: L.
full_name: Fan, L.
last_name: Fan
- 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
language:
- iso: eng
page: 185-190
place: Paderborn
publication: Proceedings of the Third International Conference on Mathematics Textbook
Research an Development
status: public
title: Materials für inclusive mathematics education - Design principles an practices.
type: conference
user_id: '85821'
year: '2019'
...
---
_id: '32090'
author:
- first_name: T.
full_name: Breucker, T.
last_name: Breucker
- first_name: O.
full_name: Freesemann, O.
last_name: Freesemann
- first_name: Uta
full_name: Häsel-Weide, Uta
id: '60267'
last_name: Häsel-Weide
- first_name: E. M.
full_name: Opitz, E. M.
last_name: Opitz
- first_name: M.
full_name: Nührenbörger, M.
last_name: Nührenbörger
- first_name: C.
full_name: Wittich, C.
last_name: Wittich
citation:
ama: Breucker T, Freesemann O, Häsel-Weide U, Opitz EM, Nührenbörger M, Wittich
C. Fördern im inklusiven Mathematikunterricht im Spannungsfeld zwischen gemeinsamen
Lernsituationen und gezielter Förderung. Zeitschrift für Heilpädagogik.
2019;(70):316-326.
apa: Breucker, T., Freesemann, O., Häsel-Weide, U., Opitz, E. M., Nührenbörger,
M., & Wittich, C. (2019). Fördern im inklusiven Mathematikunterricht im Spannungsfeld
zwischen gemeinsamen Lernsituationen und gezielter Förderung. Zeitschrift für
Heilpädagogik, 70, 316–326.
bibtex: '@article{Breucker_Freesemann_Häsel-Weide_Opitz_Nührenbörger_Wittich_2019,
title={Fördern im inklusiven Mathematikunterricht im Spannungsfeld zwischen gemeinsamen
Lernsituationen und gezielter Förderung.}, number={70}, journal={Zeitschrift für
Heilpädagogik}, author={Breucker, T. and Freesemann, O. and Häsel-Weide, Uta and
Opitz, E. M. and Nührenbörger, M. and Wittich, C.}, year={2019}, pages={316–326}
}'
chicago: 'Breucker, T., O. Freesemann, Uta Häsel-Weide, E. M. Opitz, M. Nührenbörger,
and C. Wittich. “Fördern im inklusiven Mathematikunterricht im Spannungsfeld zwischen
gemeinsamen Lernsituationen und gezielter Förderung.” Zeitschrift für Heilpädagogik,
no. 70 (2019): 316–26.'
ieee: T. Breucker, O. Freesemann, U. Häsel-Weide, E. M. Opitz, M. Nührenbörger,
and C. Wittich, “Fördern im inklusiven Mathematikunterricht im Spannungsfeld zwischen
gemeinsamen Lernsituationen und gezielter Förderung.,” Zeitschrift für Heilpädagogik,
no. 70, pp. 316–326, 2019.
mla: Breucker, T., et al. “Fördern im inklusiven Mathematikunterricht im Spannungsfeld
zwischen gemeinsamen Lernsituationen und gezielter Förderung.” Zeitschrift
für Heilpädagogik, no. 70, 2019, pp. 316–26.
short: T. Breucker, O. Freesemann, U. Häsel-Weide, E.M. Opitz, M. Nührenbörger,
C. Wittich, Zeitschrift für Heilpädagogik (2019) 316–326.
date_created: 2022-06-21T06:05:05Z
date_updated: 2022-06-21T06:05:10Z
department:
- _id: '98'
- _id: '543'
issue: '70'
language:
- iso: ger
page: 316-326
publication: Zeitschrift für Heilpädagogik
publication_status: published
status: public
title: Fördern im inklusiven Mathematikunterricht im Spannungsfeld zwischen gemeinsamen
Lernsituationen und gezielter Förderung.
type: journal_article
user_id: '85821'
year: '2019'
...
---
_id: '32091'
author:
- first_name: Uta
full_name: Häsel-Weide, Uta
id: '60267'
last_name: Häsel-Weide
- first_name: M.
full_name: Nührenbörger, M.
last_name: Nührenbörger
- first_name: M.
full_name: Reinold, M.
last_name: Reinold
citation:
ama: Häsel-Weide U, Nührenbörger M, Reinold M. Das Zahlenbuch 4. Förderheft.
Klett; 2019.
apa: Häsel-Weide, U., Nührenbörger, M., & Reinold, M. (2019). Das Zahlenbuch
4. Förderheft. Klett.
bibtex: '@book{Häsel-Weide_Nührenbörger_Reinold_2019, place={Stuttgart}, series={Das
Zahlenbuch}, title={Das Zahlenbuch 4. Förderheft}, publisher={Klett}, author={Häsel-Weide,
Uta and Nührenbörger, M. and Reinold, M.}, year={2019}, collection={Das Zahlenbuch}
}'
chicago: 'Häsel-Weide, Uta, M. Nührenbörger, and M. Reinold. Das Zahlenbuch 4.
Förderheft. Das Zahlenbuch. Stuttgart: Klett, 2019.'
ieee: 'U. Häsel-Weide, M. Nührenbörger, and M. Reinold, Das Zahlenbuch 4. Förderheft.
Stuttgart: Klett, 2019.'
mla: Häsel-Weide, Uta, et al. Das Zahlenbuch 4. Förderheft. Klett, 2019.
short: U. Häsel-Weide, M. Nührenbörger, M. Reinold, Das Zahlenbuch 4. Förderheft,
Klett, Stuttgart, 2019.
date_created: 2022-06-21T06:07:06Z
date_updated: 2022-06-21T06:07:12Z
department:
- _id: '98'
- _id: '543'
language:
- iso: ger
page: '80'
place: Stuttgart
publication_identifier:
isbn:
- 978-3122009946
publication_status: published
publisher: Klett
series_title: Das Zahlenbuch
status: public
title: Das Zahlenbuch 4. Förderheft
type: misc
user_id: '85821'
year: '2019'
...
---
_id: '31954'
author:
- first_name: Uta
full_name: Häsel-Weide, Uta
id: '60267'
last_name: Häsel-Weide
- first_name: M.
full_name: Nührenbörger, M.
last_name: Nührenbörger
- first_name: M.
full_name: Reinold, M.
last_name: Reinold
citation:
ama: Häsel-Weide U, Nührenbörger M, Reinold M. Das Zahlenbuch. Förderkommentar
Lernen zum 4. Schuljahr. Klett; 2019.
apa: Häsel-Weide, U., Nührenbörger, M., & Reinold, M. (2019). Das Zahlenbuch.
Förderkommentar Lernen zum 4. Schuljahr. Klett.
bibtex: '@book{Häsel-Weide_Nührenbörger_Reinold_2019, place={Leipzig}, title={Das
Zahlenbuch. Förderkommentar Lernen zum 4. Schuljahr}, publisher={Klett}, author={Häsel-Weide,
Uta and Nührenbörger, M. and Reinold, M.}, year={2019} }'
chicago: 'Häsel-Weide, Uta, M. Nührenbörger, and M. Reinold. Das Zahlenbuch.
Förderkommentar Lernen zum 4. Schuljahr. Leipzig: Klett, 2019.'
ieee: 'U. Häsel-Weide, M. Nührenbörger, and M. Reinold, Das Zahlenbuch. Förderkommentar
Lernen zum 4. Schuljahr. Leipzig: Klett, 2019.'
mla: Häsel-Weide, Uta, et al. Das Zahlenbuch. Förderkommentar Lernen zum 4. Schuljahr.
Klett, 2019.
short: U. Häsel-Weide, M. Nührenbörger, M. Reinold, Das Zahlenbuch. Förderkommentar
Lernen zum 4. Schuljahr, Klett, Leipzig, 2019.
date_created: 2022-06-21T05:55:32Z
date_updated: 2022-06-21T05:55:37Z
department:
- _id: '98'
- _id: '543'
language:
- iso: ger
page: '144'
place: Leipzig
publication_identifier:
isbn:
- ' 978-3-12-200998-4'
publication_status: published
publisher: Klett
status: public
title: Das Zahlenbuch. Förderkommentar Lernen zum 4. Schuljahr
type: misc
user_id: '85821'
year: '2019'
...
---
_id: '32092'
author:
- first_name: Uta
full_name: Häsel-Weide, Uta
id: '60267'
last_name: Häsel-Weide
citation:
ama: 'Häsel-Weide U. Lernumgebungen für den inklusiven Mathematikunterricht zwischen
reichhaltiger Offenheit und fokussierter Förderung. In: Baumert B, Willen M, eds.
Zwischen Persönlichkeitsbildung und Leistungsentwicklung. Fachspezifische Zugänge
zu inklusivem Unterricht. Klinkhardt; 2019:175-181.'
apa: Häsel-Weide, U. (2019). Lernumgebungen für den inklusiven Mathematikunterricht
zwischen reichhaltiger Offenheit und fokussierter Förderung. In B. Baumert &
M. Willen (Eds.), Zwischen Persönlichkeitsbildung und Leistungsentwicklung.
Fachspezifische Zugänge zu inklusivem Unterricht (pp. 175–181). Klinkhardt.
bibtex: '@inbook{Häsel-Weide_2019, place={Bad Heilbrunn}, title={Lernumgebungen
für den inklusiven Mathematikunterricht zwischen reichhaltiger Offenheit und fokussierter
Förderung}, booktitle={Zwischen Persönlichkeitsbildung und Leistungsentwicklung.
Fachspezifische Zugänge zu inklusivem Unterricht}, publisher={Klinkhardt}, author={Häsel-Weide,
Uta}, editor={Baumert, B. and Willen, M.}, year={2019}, pages={175–181} }'
chicago: 'Häsel-Weide, Uta. “Lernumgebungen für den inklusiven Mathematikunterricht
zwischen reichhaltiger Offenheit und fokussierter Förderung.” In Zwischen Persönlichkeitsbildung
und Leistungsentwicklung. Fachspezifische Zugänge zu inklusivem Unterricht,
edited by B. Baumert and M. Willen, 175–81. Bad Heilbrunn: Klinkhardt, 2019.'
ieee: 'U. Häsel-Weide, “Lernumgebungen für den inklusiven Mathematikunterricht zwischen
reichhaltiger Offenheit und fokussierter Förderung,” in Zwischen Persönlichkeitsbildung
und Leistungsentwicklung. Fachspezifische Zugänge zu inklusivem Unterricht,
B. Baumert and M. Willen, Eds. Bad Heilbrunn: Klinkhardt, 2019, pp. 175–181.'
mla: Häsel-Weide, Uta. “Lernumgebungen für den inklusiven Mathematikunterricht zwischen
reichhaltiger Offenheit und fokussierter Förderung.” Zwischen Persönlichkeitsbildung
und Leistungsentwicklung. Fachspezifische Zugänge zu inklusivem Unterricht,
edited by B. Baumert and M. Willen, Klinkhardt, 2019, pp. 175–81.
short: 'U. Häsel-Weide, in: B. Baumert, M. Willen (Eds.), Zwischen Persönlichkeitsbildung
und Leistungsentwicklung. Fachspezifische Zugänge zu inklusivem Unterricht, Klinkhardt,
Bad Heilbrunn, 2019, pp. 175–181.'
date_created: 2022-06-21T06:10:59Z
date_updated: 2022-07-11T05:31:34Z
department:
- _id: '98'
- _id: '543'
editor:
- first_name: B.
full_name: Baumert, B.
last_name: Baumert
- first_name: M.
full_name: Willen, M.
last_name: Willen
language:
- iso: ger
page: 175-181
place: Bad Heilbrunn
publication: Zwischen Persönlichkeitsbildung und Leistungsentwicklung. Fachspezifische
Zugänge zu inklusivem Unterricht
publication_identifier:
isbn:
- ' 978-3781523234'
publication_status: published
publisher: Klinkhardt
status: public
title: Lernumgebungen für den inklusiven Mathematikunterricht zwischen reichhaltiger
Offenheit und fokussierter Förderung
type: book_chapter
user_id: '85821'
year: '2019'
...
---
_id: '34672'
author:
- first_name: Tobias
full_name: Black, Tobias
id: '23686'
last_name: Black
orcid: 0000-0001-9963-0800
citation:
ama: Black T. Global generalized solutions to a parabolic-elliptic Keller-Segel
system with singular sensitivity. Discrete & Continuous Dynamical Systems
- S. 2019;13(2):119-137. doi:10.3934/dcdss.2020007
apa: Black, T. (2019). Global generalized solutions to a parabolic-elliptic Keller-Segel
system with singular sensitivity. Discrete & Continuous Dynamical Systems
- S, 13(2), 119–137. https://doi.org/10.3934/dcdss.2020007
bibtex: '@article{Black_2019, title={Global generalized solutions to a parabolic-elliptic
Keller-Segel system with singular sensitivity}, volume={13}, DOI={10.3934/dcdss.2020007},
number={2}, journal={Discrete & Continuous Dynamical Systems - S}, publisher={American
Institute of Mathematical Sciences (AIMS)}, author={Black, Tobias}, year={2019},
pages={119–137} }'
chicago: 'Black, Tobias. “Global Generalized Solutions to a Parabolic-Elliptic Keller-Segel
System with Singular Sensitivity.” Discrete & Continuous Dynamical
Systems - S 13, no. 2 (2019): 119–37. https://doi.org/10.3934/dcdss.2020007.'
ieee: 'T. Black, “Global generalized solutions to a parabolic-elliptic Keller-Segel
system with singular sensitivity,” Discrete & Continuous Dynamical
Systems - S, vol. 13, no. 2, pp. 119–137, 2019, doi: 10.3934/dcdss.2020007.'
mla: Black, Tobias. “Global Generalized Solutions to a Parabolic-Elliptic Keller-Segel
System with Singular Sensitivity.” Discrete & Continuous Dynamical
Systems - S, vol. 13, no. 2, American Institute of Mathematical Sciences (AIMS),
2019, pp. 119–37, doi:10.3934/dcdss.2020007.
short: T. Black, Discrete & Continuous Dynamical Systems - S 13 (2019) 119–137.
date_created: 2022-12-21T09:48:28Z
date_updated: 2022-12-21T10:04:44Z
department:
- _id: '34'
- _id: '10'
- _id: '90'
doi: 10.3934/dcdss.2020007
intvolume: ' 13'
issue: '2'
keyword:
- Applied Mathematics
- Discrete Mathematics and Combinatorics
- Analysis
language:
- iso: eng
page: 119-137
publication: Discrete & Continuous Dynamical Systems - S
publication_identifier:
issn:
- 1937-1179
publication_status: published
publisher: American Institute of Mathematical Sciences (AIMS)
status: public
title: Global generalized solutions to a parabolic-elliptic Keller-Segel system with
singular sensitivity
type: journal_article
user_id: '23686'
volume: 13
year: '2019'
...
---
_id: '34669'
article_number: '1'
author:
- first_name: Tobias
full_name: Black, Tobias
id: '23686'
last_name: Black
orcid: 0000-0001-9963-0800
citation:
ama: Black T. The Stokes Limit in a Three-Dimensional Chemotaxis-Navier–Stokes System.
Journal of Mathematical Fluid Mechanics. 2019;22(1). doi:10.1007/s00021-019-0464-z
apa: Black, T. (2019). The Stokes Limit in a Three-Dimensional Chemotaxis-Navier–Stokes
System. Journal of Mathematical Fluid Mechanics, 22(1), Article
1. https://doi.org/10.1007/s00021-019-0464-z
bibtex: '@article{Black_2019, title={The Stokes Limit in a Three-Dimensional Chemotaxis-Navier–Stokes
System}, volume={22}, DOI={10.1007/s00021-019-0464-z},
number={11}, journal={Journal of Mathematical Fluid Mechanics}, publisher={Springer
Science and Business Media LLC}, author={Black, Tobias}, year={2019} }'
chicago: Black, Tobias. “The Stokes Limit in a Three-Dimensional Chemotaxis-Navier–Stokes
System.” Journal of Mathematical Fluid Mechanics 22, no. 1 (2019). https://doi.org/10.1007/s00021-019-0464-z.
ieee: 'T. Black, “The Stokes Limit in a Three-Dimensional Chemotaxis-Navier–Stokes
System,” Journal of Mathematical Fluid Mechanics, vol. 22, no. 1, Art.
no. 1, 2019, doi: 10.1007/s00021-019-0464-z.'
mla: Black, Tobias. “The Stokes Limit in a Three-Dimensional Chemotaxis-Navier–Stokes
System.” Journal of Mathematical Fluid Mechanics, vol. 22, no. 1, 1, Springer
Science and Business Media LLC, 2019, doi:10.1007/s00021-019-0464-z.
short: T. Black, Journal of Mathematical Fluid Mechanics 22 (2019).
date_created: 2022-12-21T09:47:56Z
date_updated: 2022-12-21T10:04:29Z
department:
- _id: '34'
- _id: '10'
- _id: '90'
doi: 10.1007/s00021-019-0464-z
intvolume: ' 22'
issue: '1'
keyword:
- Applied Mathematics
- Computational Mathematics
- Condensed Matter Physics
- Mathematical Physics
language:
- iso: eng
publication: Journal of Mathematical Fluid Mechanics
publication_identifier:
issn:
- 1422-6928
- 1422-6952
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: The Stokes Limit in a Three-Dimensional Chemotaxis-Navier–Stokes System
type: journal_article
user_id: '23686'
volume: 22
year: '2019'
...
---
_id: '34668'
author:
- first_name: Tobias
full_name: Black, Tobias
id: '23686'
last_name: Black
orcid: 0000-0001-9963-0800
- first_name: Johannes
full_name: Lankeit, Johannes
last_name: Lankeit
- first_name: Masaaki
full_name: Mizukami, Masaaki
last_name: Mizukami
citation:
ama: 'Black T, Lankeit J, Mizukami M. A Keller‐Segel‐fluid system with singular
sensitivity: Generalized solutions. Mathematical Methods in the Applied Sciences.
2019;42(9):3002-3020. doi:10.1002/mma.5561'
apa: 'Black, T., Lankeit, J., & Mizukami, M. (2019). A Keller‐Segel‐fluid system
with singular sensitivity: Generalized solutions. Mathematical Methods in the
Applied Sciences, 42(9), 3002–3020. https://doi.org/10.1002/mma.5561'
bibtex: '@article{Black_Lankeit_Mizukami_2019, title={A Keller‐Segel‐fluid system
with singular sensitivity: Generalized solutions}, volume={42}, DOI={10.1002/mma.5561},
number={9}, journal={Mathematical Methods in the Applied Sciences}, publisher={Wiley},
author={Black, Tobias and Lankeit, Johannes and Mizukami, Masaaki}, year={2019},
pages={3002–3020} }'
chicago: 'Black, Tobias, Johannes Lankeit, and Masaaki Mizukami. “A Keller‐Segel‐fluid
System with Singular Sensitivity: Generalized Solutions.” Mathematical Methods
in the Applied Sciences 42, no. 9 (2019): 3002–20. https://doi.org/10.1002/mma.5561.'
ieee: 'T. Black, J. Lankeit, and M. Mizukami, “A Keller‐Segel‐fluid system with
singular sensitivity: Generalized solutions,” Mathematical Methods in the Applied
Sciences, vol. 42, no. 9, pp. 3002–3020, 2019, doi: 10.1002/mma.5561.'
mla: 'Black, Tobias, et al. “A Keller‐Segel‐fluid System with Singular Sensitivity:
Generalized Solutions.” Mathematical Methods in the Applied Sciences, vol.
42, no. 9, Wiley, 2019, pp. 3002–20, doi:10.1002/mma.5561.'
short: T. Black, J. Lankeit, M. Mizukami, Mathematical Methods in the Applied Sciences
42 (2019) 3002–3020.
date_created: 2022-12-21T09:47:47Z
date_updated: 2022-12-21T10:04:36Z
department:
- _id: '34'
- _id: '10'
- _id: '90'
doi: 10.1002/mma.5561
intvolume: ' 42'
issue: '9'
keyword:
- General Engineering
- General Mathematics
language:
- iso: eng
page: 3002-3020
publication: Mathematical Methods in the Applied Sciences
publication_identifier:
issn:
- 0170-4214
- 1099-1476
publication_status: published
publisher: Wiley
status: public
title: 'A Keller‐Segel‐fluid system with singular sensitivity: Generalized solutions'
type: journal_article
user_id: '23686'
volume: 42
year: '2019'
...
---
_id: '34671'
author:
- first_name: Tobias
full_name: Black, Tobias
id: '23686'
last_name: Black
orcid: 0000-0001-9963-0800
- first_name: Johannes
full_name: Lankeit, Johannes
last_name: Lankeit
- first_name: Masaaki
full_name: Mizukami, Masaaki
last_name: Mizukami
citation:
ama: Black T, Lankeit J, Mizukami M. Stabilization in the Keller–Segel system with
signal-dependent sensitivity. Applicable Analysis. 2019;99(16):2877-2891.
doi:10.1080/00036811.2019.1585534
apa: Black, T., Lankeit, J., & Mizukami, M. (2019). Stabilization in the Keller–Segel
system with signal-dependent sensitivity. Applicable Analysis, 99(16),
2877–2891. https://doi.org/10.1080/00036811.2019.1585534
bibtex: '@article{Black_Lankeit_Mizukami_2019, title={Stabilization in the Keller–Segel
system with signal-dependent sensitivity}, volume={99}, DOI={10.1080/00036811.2019.1585534},
number={16}, journal={Applicable Analysis}, publisher={Informa UK Limited}, author={Black,
Tobias and Lankeit, Johannes and Mizukami, Masaaki}, year={2019}, pages={2877–2891}
}'
chicago: 'Black, Tobias, Johannes Lankeit, and Masaaki Mizukami. “Stabilization
in the Keller–Segel System with Signal-Dependent Sensitivity.” Applicable Analysis
99, no. 16 (2019): 2877–91. https://doi.org/10.1080/00036811.2019.1585534.'
ieee: 'T. Black, J. Lankeit, and M. Mizukami, “Stabilization in the Keller–Segel
system with signal-dependent sensitivity,” Applicable Analysis, vol. 99,
no. 16, pp. 2877–2891, 2019, doi: 10.1080/00036811.2019.1585534.'
mla: Black, Tobias, et al. “Stabilization in the Keller–Segel System with Signal-Dependent
Sensitivity.” Applicable Analysis, vol. 99, no. 16, Informa UK Limited,
2019, pp. 2877–91, doi:10.1080/00036811.2019.1585534.
short: T. Black, J. Lankeit, M. Mizukami, Applicable Analysis 99 (2019) 2877–2891.
date_created: 2022-12-21T09:48:19Z
date_updated: 2022-12-21T10:04:50Z
department:
- _id: '34'
- _id: '10'
- _id: '90'
doi: 10.1080/00036811.2019.1585534
intvolume: ' 99'
issue: '16'
keyword:
- Applied Mathematics
- Analysis
language:
- iso: eng
page: 2877-2891
publication: Applicable Analysis
publication_identifier:
issn:
- 0003-6811
- 1563-504X
publication_status: published
publisher: Informa UK Limited
status: public
title: Stabilization in the Keller–Segel system with signal-dependent sensitivity
type: journal_article
user_id: '23686'
volume: 99
year: '2019'
...
---
_id: '31265'
author:
- first_name: Semyon
full_name: Dyatlov, Semyon
last_name: Dyatlov
- first_name: David
full_name: Borthwick, David
last_name: Borthwick
- first_name: Tobias
full_name: Weich, Tobias
id: '49178'
last_name: Weich
orcid: 0000-0002-9648-6919
citation:
ama: Dyatlov S, Borthwick D, Weich T. Improved fractal Weyl bounds for hyperbolic
manifolds. With an appendix by David Borthwick, Semyon Dyatlov and Tobias Weich.
Journal of the European Mathematical Society. 2019;21(6):1595-1639. doi:10.4171/jems/867
apa: Dyatlov, S., Borthwick, D., & Weich, T. (2019). Improved fractal Weyl bounds
for hyperbolic manifolds. With an appendix by David Borthwick, Semyon Dyatlov
and Tobias Weich. Journal of the European Mathematical Society, 21(6),
1595–1639. https://doi.org/10.4171/jems/867
bibtex: '@article{Dyatlov_Borthwick_Weich_2019, title={Improved fractal Weyl bounds
for hyperbolic manifolds. With an appendix by David Borthwick, Semyon Dyatlov
and Tobias Weich}, volume={21}, DOI={10.4171/jems/867},
number={6}, journal={Journal of the European Mathematical Society}, publisher={European
Mathematical Society - EMS - Publishing House GmbH}, author={Dyatlov, Semyon and
Borthwick, David and Weich, Tobias}, year={2019}, pages={1595–1639} }'
chicago: 'Dyatlov, Semyon, David Borthwick, and Tobias Weich. “Improved Fractal
Weyl Bounds for Hyperbolic Manifolds. With an Appendix by David Borthwick, Semyon
Dyatlov and Tobias Weich.” Journal of the European Mathematical Society
21, no. 6 (2019): 1595–1639. https://doi.org/10.4171/jems/867.'
ieee: 'S. Dyatlov, D. Borthwick, and T. Weich, “Improved fractal Weyl bounds for
hyperbolic manifolds. With an appendix by David Borthwick, Semyon Dyatlov and
Tobias Weich,” Journal of the European Mathematical Society, vol. 21, no.
6, pp. 1595–1639, 2019, doi: 10.4171/jems/867.'
mla: Dyatlov, Semyon, et al. “Improved Fractal Weyl Bounds for Hyperbolic Manifolds.
With an Appendix by David Borthwick, Semyon Dyatlov and Tobias Weich.” Journal
of the European Mathematical Society, vol. 21, no. 6, European Mathematical
Society - EMS - Publishing House GmbH, 2019, pp. 1595–639, doi:10.4171/jems/867.
short: S. Dyatlov, D. Borthwick, T. Weich, Journal of the European Mathematical
Society 21 (2019) 1595–1639.
date_created: 2022-05-17T12:06:41Z
date_updated: 2022-05-19T10:12:59Z
department:
- _id: '10'
- _id: '623'
- _id: '548'
doi: 10.4171/jems/867
external_id:
arxiv:
- '1512.00836'
intvolume: ' 21'
issue: '6'
keyword:
- Applied Mathematics
- General Mathematics
language:
- iso: eng
page: 1595-1639
publication: Journal of the European Mathematical Society
publication_identifier:
issn:
- 1435-9855
publication_status: published
publisher: European Mathematical Society - EMS - Publishing House GmbH
status: public
title: Improved fractal Weyl bounds for hyperbolic manifolds. With an appendix by
David Borthwick, Semyon Dyatlov and Tobias Weich
type: journal_article
user_id: '49178'
volume: 21
year: '2019'
...
---
_id: '31383'
author:
- first_name: Max
full_name: Hoffmann, Max
id: '32202'
last_name: Hoffmann
citation:
ama: 'Hoffmann M. Rezension: Klaus Volkert: In höheren Räumen – Der Weg der Geometrie
in die vierte Dimension. Mathematische Semesterberichte. 2019;66:117–118.
doi:10.1007/s00591-018-00244-x'
apa: 'Hoffmann, M. (2019). Rezension: Klaus Volkert: In höheren Räumen – Der Weg
der Geometrie in die vierte Dimension. In Mathematische Semesterberichte
(Vol. 66, pp. 117–118). https://doi.org/10.1007/s00591-018-00244-x'
bibtex: '@article{Hoffmann_2019, title={Rezension: Klaus Volkert: In höheren Räumen
– Der Weg der Geometrie in die vierte Dimension}, volume={66}, DOI={10.1007/s00591-018-00244-x},
journal={Mathematische Semesterberichte}, author={Hoffmann, Max}, year={2019},
pages={117–118} }'
chicago: 'Hoffmann, Max. “Rezension: Klaus Volkert: In höheren Räumen – Der Weg
der Geometrie in die vierte Dimension.” Mathematische Semesterberichte,
2019. https://doi.org/10.1007/s00591-018-00244-x.'
ieee: 'M. Hoffmann, “Rezension: Klaus Volkert: In höheren Räumen – Der Weg der Geometrie
in die vierte Dimension,” Mathematische Semesterberichte, vol. 66. pp.
117–118, 2019, doi: 10.1007/s00591-018-00244-x.'
mla: 'Hoffmann, Max. “Rezension: Klaus Volkert: In höheren Räumen – Der Weg der
Geometrie in die vierte Dimension.” Mathematische Semesterberichte, vol.
66, 2019, pp. 117–118, doi:10.1007/s00591-018-00244-x.'
short: M. Hoffmann, Mathematische Semesterberichte 66 (2019) 117–118.
date_created: 2022-05-22T15:17:07Z
date_updated: 2022-05-22T15:58:43Z
department:
- _id: '97'
doi: 10.1007/s00591-018-00244-x
intvolume: ' 66'
language:
- iso: ger
main_file_link:
- url: https://link.springer.com/article/10.1007/s00591-018-00244-x
page: 117–118
publication: Mathematische Semesterberichte
publication_status: published
status: public
title: 'Rezension: Klaus Volkert: In höheren Räumen – Der Weg der Geometrie in die
vierte Dimension'
type: review
user_id: '32202'
volume: 66
year: '2019'
...