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Global generalized solutions to a forager–exploiter model with superlinear degradation and their eventual regularity properties. <i>Mathematical Models and Methods in Applied Sciences</i>, <i>30</i>(06), 1075–1117. <a href=\"https://doi.org/10.1142/s0218202520400072\">https://doi.org/10.1142/s0218202520400072</a>","ama":"Black T. Global generalized solutions to a forager–exploiter model with superlinear degradation and their eventual regularity properties. <i>Mathematical Models and Methods in Applied Sciences</i>. 2020;30(06):1075-1117. doi:<a href=\"https://doi.org/10.1142/s0218202520400072\">10.1142/s0218202520400072</a>","chicago":"Black, Tobias. “Global Generalized Solutions to a Forager–Exploiter Model with Superlinear Degradation and Their Eventual Regularity Properties.” <i>Mathematical Models and Methods in Applied Sciences</i> 30, no. 06 (2020): 1075–1117. <a href=\"https://doi.org/10.1142/s0218202520400072\">https://doi.org/10.1142/s0218202520400072</a>.","ieee":"T. 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(2020). Theory-Based Design of Professional Development for Upper Secondary Teachers–Focusing on the Content-Specific Use of Digital Tools. In <i>Professional development and knowledge of mathematics teachers</i> (pp. 163–192). Routledge.","mla":"Barzel, Bärbel, and Rolf Biehler. “Theory-Based Design of Professional Development for Upper Secondary Teachers–Focusing on the Content-Specific Use of Digital Tools.” <i>Professional Development and Knowledge of Mathematics Teachers</i>, Routledge, 2020, pp. 163–192.","short":"B. Barzel, R. Biehler, in: Professional Development and Knowledge of Mathematics Teachers, Routledge, 2020, pp. 163–192.","bibtex":"@inbook{Barzel_Biehler_2020, title={Theory-Based Design of Professional Development for Upper Secondary Teachers–Focusing on the Content-Specific Use of Digital Tools}, booktitle={Professional development and knowledge of mathematics teachers}, publisher={Routledge}, author={Barzel, Bärbel and Biehler, Rolf}, year={2020}, pages={163–192} }","chicago":"Barzel, Bärbel, and Rolf Biehler. “Theory-Based Design of Professional Development for Upper Secondary Teachers–Focusing on the Content-Specific Use of Digital Tools.” In <i>Professional Development and Knowledge of Mathematics Teachers</i>, 163–192. Routledge, 2020.","ieee":"B. Barzel and R. 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A Set-Oriented Path Following Method for the Approximation of Parameter Dependent Attractors. <i>SIAM Journal on Applied Dynamical Systems</i>, 705–723. <a href=\"https://doi.org/10.1137/19m1247139\">https://doi.org/10.1137/19m1247139</a>","short":"R. Gerlach, A. Ziessler, B. Eckhardt, M. 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Dellnitz, “A Set-Oriented Path Following Method for the Approximation of Parameter Dependent Attractors,” <i>SIAM Journal on Applied Dynamical Systems</i>, pp. 705–723, 2020, doi: <a href=\"https://doi.org/10.1137/19m1247139\">10.1137/19m1247139</a>."},"page":"705-723","year":"2020","publication_status":"published","publication_identifier":{"issn":["1536-0040"]},"language":[{"iso":"eng"}],"user_id":"32655","department":[{"_id":"101"}],"_id":"16710","status":"public","abstract":[{"lang":"eng","text":"In this work we present a set-oriented path following method for the computation of relative global\r\nattractors of parameter-dependent dynamical systems. We start with an initial approximation of the\r\nrelative global attractor for a fixed parameter λ0 computed by a set-oriented subdivision method.\r\nBy using previously obtained approximations of the parameter-dependent relative global attractor\r\nwe can track it with respect to a one-dimensional parameter λ > λ0 without restarting the whole\r\nsubdivision procedure. We illustrate the feasibility of the set-oriented path following method by\r\nexploring the dynamics in low-dimensional models for shear flows during the transition to turbulence\r\nand of large-scale atmospheric regime changes .\r\n"}],"type":"journal_article","publication":"SIAM Journal on Applied Dynamical Systems"},{"citation":{"ama":"Biehler R, Durand-Guerrier V. University Mathematics Didactic Research on Number Theory, Algebra, Discrete Mathematics, Logic. 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Hausberger, M. Bosch, and F. Chelloughi, Eds. Bizerte, Tunisia: University of Carthage and INDRUM, 2020, pp. 283–287.","apa":"Biehler, R., &#38; Durand-Guerrier, V. (2020). University Mathematics Didactic Research on Number Theory, Algebra, Discrete Mathematics, Logic. In T. Hausberger, M. Bosch, &#38; F. Chelloughi (Eds.), <i>Proceedings of the Third Conference of the International Network for Didactic Research in University Mathematics (INDRUM 2020, 12-19 September 2020)</i> (pp. 283–287). University of Carthage and INDRUM.","mla":"Biehler, Rolf, and Viviane Durand-Guerrier. “University Mathematics Didactic Research on Number Theory, Algebra, Discrete Mathematics, Logic.” <i>Proceedings of the Third Conference of the International Network for Didactic Research in University Mathematics (INDRUM 2020, 12-19 September 2020)</i>, edited by T. 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Chelloughi (Eds.), Proceedings of the Third Conference of the International Network for Didactic Research in University Mathematics (INDRUM 2020, 12-19 September 2020), University of Carthage and INDRUM, Bizerte, Tunisia, 2020, pp. 283–287."},"page":"283-287","year":"2020","place":"Bizerte, Tunisia","related_material":{"link":[{"url":"https://hal.science/hal-03114041/","relation":"confirmation"}]},"has_accepted_license":"1","main_file_link":[{"url":"⟨hal-03114041⟩"}],"title":"University Mathematics Didactic Research on Number Theory, Algebra, Discrete Mathematics, Logic","date_created":"2023-01-10T11:14:02Z","author":[{"id":"16274","full_name":"Biehler, Rolf","last_name":"Biehler","first_name":"Rolf"},{"first_name":"Viviane","last_name":"Durand-Guerrier","full_name":"Durand-Guerrier, Viviane"}],"date_updated":"2024-11-11T11:59:12Z","publisher":"University of Carthage and INDRUM","file":[{"relation":"main_file","success":1,"content_type":"application/pdf","access_level":"closed","file_id":"56978","file_name":"Biehler_INDRUM2020_283-287.pdf","file_size":576039,"creator":"krueter","date_created":"2024-11-11T11:58:37Z","date_updated":"2024-11-11T11:58:37Z"}],"status":"public","editor":[{"first_name":"T.","full_name":"Hausberger, T.","last_name":"Hausberger"},{"first_name":"M.","last_name":"Bosch","full_name":"Bosch, M."},{"last_name":"Chelloughi","full_name":"Chelloughi, F.","first_name":"F."}],"type":"book_chapter","publication":"Proceedings of the Third Conference of the International Network for Didactic Research in University Mathematics (INDRUM 2020, 12-19 September 2020)","language":[{"iso":"eng"}],"file_date_updated":"2024-11-11T11:58:37Z","ddc":["510"],"keyword":["Number Theory","Algebra","Discrete Mathematics","Logic","Research in University Mathematics Edcuation"],"user_id":"37888","department":[{"_id":"363"}],"_id":"35811"},{"file_date_updated":"2024-11-11T11:59:58Z","language":[{"iso":"eng"}],"ddc":["510"],"department":[{"_id":"363"}],"user_id":"37888","_id":"35829","status":"public","file":[{"file_size":911728,"file_id":"56979","file_name":"Kempen_INDRUM2020_358-367.pdf","access_level":"closed","date_updated":"2024-11-11T11:59:58Z","creator":"krueter","date_created":"2024-11-11T11:59:58Z","success":1,"relation":"main_file","content_type":"application/pdf"}],"editor":[{"last_name":"Hausberger","full_name":"Hausberger, T.","first_name":"T."},{"last_name":"Bosch","full_name":"Bosch, M.","first_name":"M."},{"last_name":"Chelloughi","full_name":"Chelloughi, F.","first_name":"F."}],"publication":"Proceedings of the Third Conference of the International Network for Didactic Research in University Mathematics (INDRUM 2020, 12-19 September 2020)","type":"book_chapter","title":"Investigating high school graduates’ personal meaning of the notion of “mathematical proof”","author":[{"last_name":"Kempen","full_name":"Kempen, Leander","first_name":"Leander"},{"first_name":"Sandra","last_name":"Krämer","full_name":"Krämer, Sandra"},{"first_name":"Rolf","id":"16274","full_name":"Biehler, Rolf","last_name":"Biehler"}],"date_created":"2023-01-10T11:56:38Z","date_updated":"2024-11-11T12:00:29Z","publisher":"University of Carthage and INDRUM","page":"358-367","citation":{"chicago":"Kempen, Leander, Sandra Krämer, and Rolf Biehler. “Investigating High School Graduates’ Personal Meaning of the Notion of ‘Mathematical Proof.’” In <i>Proceedings of the Third Conference of the International Network for Didactic Research in University Mathematics (INDRUM 2020, 12-19 September 2020)</i>, edited by T. 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University of Carthage and INDRUM."},"place":"Bizerte, Tunisia","year":"2020","related_material":{"link":[{"relation":"confirmation","url":"https://hal.science/hal-03113983/"}]},"has_accepted_license":"1"},{"year":"2020","citation":{"bibtex":"@article{Rezat_Rezat_2020, title={Schulbücher. Werkzeuge zum Üben in den Fächern Deutsch und Mathematik}, volume={320}, journal={Die Grundschulzeitschrift 320}, author={Rezat, Sebastian and Rezat, Sara}, year={2020}, pages={10–13} }","mla":"Rezat, Sebastian, and Sara Rezat. “Schulbücher. Werkzeuge zum Üben in den Fächern Deutsch und Mathematik.” <i>Die Grundschulzeitschrift 320</i>, vol. 320, 2020, pp. 10–13.","short":"S. Rezat, S. Rezat, Die Grundschulzeitschrift 320 320 (2020) 10–13.","apa":"Rezat, S., &#38; Rezat, S. (2020). Schulbücher. Werkzeuge zum Üben in den Fächern Deutsch und Mathematik. <i>Die Grundschulzeitschrift 320</i>, <i>320</i>, 10–13.","chicago":"Rezat, Sebastian, and Sara Rezat. “Schulbücher. Werkzeuge zum Üben in den Fächern Deutsch und Mathematik.” <i>Die Grundschulzeitschrift 320</i> 320 (2020): 10–13.","ieee":"S. Rezat and S. Rezat, “Schulbücher. Werkzeuge zum Üben in den Fächern Deutsch und Mathematik,” <i>Die Grundschulzeitschrift 320</i>, vol. 320, pp. 10–13, 2020.","ama":"Rezat S, Rezat S. Schulbücher. Werkzeuge zum Üben in den Fächern Deutsch und Mathematik. <i>Die Grundschulzeitschrift 320</i>. 2020;320:10-13."},"intvolume":"       320","page":"10-13","title":"Schulbücher. 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Arnold, ISI/IASE, 2020.","short":"L. Budde, D. Frischemeier, R. Biehler, F.Y. Fleischer, D. Gerstenberger, S. Podworny, C. Schulte, in: P. Arnold (Ed.), New Skills in the Changing World of Statistics Education: Proceedings of the Roundtable Conference of the International Association for Statistical Education (IASE), July 2020, ISI/IASE, Voorborg, The Netherlands, 2020.","bibtex":"@inbook{Budde_Frischemeier_Biehler_Fleischer_Gerstenberger_Podworny_Schulte_2020, place={Voorborg, The Netherlands}, title={Data Science Education in Secondary School: How to Develop Statistical Reasoning When Exploring Data Using CODAP}, booktitle={New Skills in the Changing World of Statistics Education: Proceedings of the Roundtable conference of the International Association for Statistical Education (IASE), July 2020}, publisher={ISI/IASE}, author={Budde, Lea and Frischemeier, Daniel and Biehler, Rolf and Fleischer, Franz Yannik and Gerstenberger, Dietrich and Podworny, Susanne and Schulte, Carsten}, editor={Arnold, P.}, year={2020} }","apa":"Budde, L., Frischemeier, D., Biehler, R., Fleischer, F. Y., Gerstenberger, D., Podworny, S., &#38; Schulte, C. (2020). Data Science Education in Secondary School: How to Develop Statistical Reasoning When Exploring Data Using CODAP. In P. Arnold (Ed.), <i>New Skills in the Changing World of Statistics Education: Proceedings of the Roundtable conference of the International Association for Statistical Education (IASE), July 2020</i>. ISI/IASE.","ama":"Budde L, Frischemeier D, Biehler R, et al. Data Science Education in Secondary School: How to Develop Statistical Reasoning When Exploring Data Using CODAP. In: Arnold P, ed. <i>New Skills in the Changing World of Statistics Education: Proceedings of the Roundtable Conference of the International Association for Statistical Education (IASE), July 2020</i>. ISI/IASE; 2020.","ieee":"L. Budde <i>et al.</i>, “Data Science Education in Secondary School: How to Develop Statistical Reasoning When Exploring Data Using CODAP,” in <i>New Skills in the Changing World of Statistics Education: Proceedings of the Roundtable conference of the International Association for Statistical Education (IASE), July 2020</i>, P. Arnold, Ed. Voorborg, The Netherlands: ISI/IASE, 2020.","chicago":"Budde, Lea, Daniel Frischemeier, Rolf Biehler, Franz Yannik Fleischer, Dietrich Gerstenberger, Susanne Podworny, and Carsten Schulte. “Data Science Education in Secondary School: How to Develop Statistical Reasoning When Exploring Data Using CODAP.” In <i>New Skills in the Changing World of Statistics Education: Proceedings of the Roundtable Conference of the International Association for Statistical Education (IASE), July 2020</i>, edited by P. Arnold. Voorborg, The Netherlands: ISI/IASE, 2020."},"year":"2020","place":"Voorborg, The Netherlands","user_id":"37888","department":[{"_id":"363"},{"_id":"67"}],"_id":"35821","file_date_updated":"2024-11-12T11:03:44Z","language":[{"iso":"eng"}],"ddc":["510"],"type":"book_chapter","publication":"New Skills in the Changing World of Statistics Education: Proceedings of the Roundtable conference of the International Association for Statistical Education (IASE), July 2020","file":[{"file_size":340591,"access_level":"closed","file_id":"56999","file_name":"IASE2020_Roundtable_24_Frischem.pdf","date_updated":"2024-11-12T11:03:44Z","date_created":"2024-11-12T11:03:44Z","creator":"krueter","success":1,"relation":"main_file","content_type":"application/pdf"}],"status":"public","editor":[{"first_name":"P.","full_name":"Arnold, P.","last_name":"Arnold"}]},{"title":"The role of learning strategies for performance in mathematics courses for engineers","author":[{"first_name":"Michael","full_name":"Liebendörfer, Michael","id":"30933","last_name":"Liebendörfer","orcid":"0000-0001-9887-2074"},{"first_name":"Robin","last_name":"Göller","full_name":"Göller, Robin"},{"first_name":"Lara","full_name":"Gildehaus, Lara","last_name":"Gildehaus"},{"first_name":"Jörg","full_name":"Kortemeyer, Jörg","last_name":"Kortemeyer"},{"first_name":"Rolf","full_name":"Biehler, Rolf","id":"16274","last_name":"Biehler"},{"full_name":"Hochmuth, Reinhard","last_name":"Hochmuth","first_name":"Reinhard"},{"full_name":"Ostsieker, Laura","last_name":"Ostsieker","first_name":"Laura"},{"last_name":"Rode","full_name":"Rode, Jana","first_name":"Jana"},{"last_name":"Schaper","full_name":"Schaper, Niclas","first_name":"Niclas"}],"date_created":"2023-01-11T07:49:41Z","publisher":"University of Carthage and INDRUM","date_updated":"2024-11-12T11:01:58Z","citation":{"chicago":"Liebendörfer, Michael, Robin Göller, Lara Gildehaus, Jörg Kortemeyer, Rolf Biehler, Reinhard Hochmuth, Laura Ostsieker, Jana Rode, and Niclas Schaper. “The Role of Learning Strategies for Performance in Mathematics Courses for Engineers.” In <i>Proceedings of the Third Conference of the International Network for Didactic Research in University Mathematics (INDRUM 2020, 12-19 September 2020)</i>, edited by T. Hausberger, M. Bosch, and F. Chelloughi. Bizerte, Tunisia: University of Carthage and INDRUM, 2020.","ieee":"M. Liebendörfer <i>et al.</i>, “The role of learning strategies for performance in mathematics courses for engineers,” in <i>Proceedings of the Third Conference of the International Network for Didactic Research in University Mathematics (INDRUM 2020, 12-19 September 2020)</i>, T. Hausberger, M. Bosch, and F. Chelloughi, Eds. Bizerte, Tunisia: University of Carthage and INDRUM, 2020.","ama":"Liebendörfer M, Göller R, Gildehaus L, et al. The role of learning strategies for performance in mathematics courses for engineers. In: Hausberger T, Bosch M, Chelloughi F, eds. <i>Proceedings of the Third Conference of the International Network for Didactic Research in University Mathematics (INDRUM 2020, 12-19 September 2020)</i>. University of Carthage and INDRUM; 2020.","apa":"Liebendörfer, M., Göller, R., Gildehaus, L., Kortemeyer, J., Biehler, R., Hochmuth, R., Ostsieker, L., Rode, J., &#38; Schaper, N. (2020). The role of learning strategies for performance in mathematics courses for engineers. In T. Hausberger, M. Bosch, &#38; F. Chelloughi (Eds.), <i>Proceedings of the Third Conference of the International Network for Didactic Research in University Mathematics (INDRUM 2020, 12-19 September 2020)</i>. University of Carthage and INDRUM.","mla":"Liebendörfer, Michael, et al. “The Role of Learning Strategies for Performance in Mathematics Courses for Engineers.” <i>Proceedings of the Third Conference of the International Network for Didactic Research in University Mathematics (INDRUM 2020, 12-19 September 2020)</i>, edited by T. Hausberger et al., University of Carthage and INDRUM, 2020.","short":"M. Liebendörfer, R. Göller, L. Gildehaus, J. Kortemeyer, R. Biehler, R. Hochmuth, L. Ostsieker, J. Rode, N. Schaper, in: T. Hausberger, M. Bosch, F. Chelloughi (Eds.), Proceedings of the Third Conference of the International Network for Didactic Research in University Mathematics (INDRUM 2020, 12-19 September 2020), University of Carthage and INDRUM, Bizerte, Tunisia, 2020.","bibtex":"@inbook{Liebendörfer_Göller_Gildehaus_Kortemeyer_Biehler_Hochmuth_Ostsieker_Rode_Schaper_2020, place={Bizerte, Tunisia}, title={The role of learning strategies for performance in mathematics courses for engineers}, booktitle={Proceedings of the Third Conference of the International Network for Didactic Research in University Mathematics (INDRUM 2020, 12-19 September 2020)}, publisher={University of Carthage and INDRUM}, author={Liebendörfer, Michael and Göller, Robin and Gildehaus, Lara and Kortemeyer, Jörg and Biehler, Rolf and Hochmuth, Reinhard and Ostsieker, Laura and Rode, Jana and Schaper, Niclas}, editor={Hausberger, T. and Bosch, M. and Chelloughi, F.}, year={2020} }"},"place":"Bizerte, Tunisia","year":"2020","has_accepted_license":"1","file_date_updated":"2024-11-12T11:01:45Z","language":[{"iso":"eng"}],"ddc":["510"],"user_id":"37888","department":[{"_id":"363"},{"_id":"625"}],"_id":"35913","file":[{"success":1,"relation":"main_file","content_type":"application/pdf","file_size":1072799,"access_level":"closed","file_name":"Liebendoerfer_INDRUM2020_238-247.pdf","file_id":"56997","date_updated":"2024-11-12T11:01:45Z","creator":"krueter","date_created":"2024-11-12T11:01:45Z"}],"status":"public","editor":[{"first_name":"T.","last_name":"Hausberger","full_name":"Hausberger, T."},{"first_name":"M.","full_name":"Bosch, M.","last_name":"Bosch"},{"first_name":"F.","last_name":"Chelloughi","full_name":"Chelloughi, F."}],"type":"book_chapter","publication":"Proceedings of the Third Conference of the International Network for Didactic Research in University Mathematics (INDRUM 2020, 12-19 September 2020)"},{"_id":"35912","department":[{"_id":"363"}],"user_id":"37888","ddc":["510"],"language":[{"iso":"eng"}],"file_date_updated":"2024-11-12T11:02:33Z","publication":"Proceedings of the Third Conference of the International Network for Didactic Research in University Mathematics (INDRUM 2020, 12-19 September 2020)","type":"book_chapter","editor":[{"first_name":"T.","last_name":"Hausberger","full_name":"Hausberger, T."},{"first_name":"M.","last_name":"Bosch","full_name":"Bosch, M."},{"full_name":"Chelloughi, F.","last_name":"Chelloughi","first_name":"F."}],"status":"public","file":[{"success":1,"relation":"main_file","content_type":"application/pdf","file_size":1087391,"access_level":"closed","file_name":"Lankeit_INDRUM2020_133-142.pdf","file_id":"56998","date_updated":"2024-11-12T11:02:33Z","date_created":"2024-11-12T11:02:33Z","creator":"krueter"}],"date_updated":"2024-11-12T11:02:47Z","publisher":"University of Carthage and INDRUM","date_created":"2023-01-11T07:46:36Z","author":[{"first_name":"Elisa","last_name":"Lankeit","full_name":"Lankeit, Elisa"},{"full_name":"Biehler, Rolf","id":"16274","last_name":"Biehler","first_name":"Rolf"}],"title":"“I only know the absolute value function”–About students’ concept images and example spaces concerning continuity and differentiability","has_accepted_license":"1","year":"2020","place":"Bizerte, Tunisia","citation":{"bibtex":"@inbook{Lankeit_Biehler_2020, place={Bizerte, Tunisia}, title={“I only know the absolute value function”–About students’ concept images and example spaces concerning continuity and differentiability}, booktitle={Proceedings of the Third Conference of the International Network for Didactic Research in University Mathematics (INDRUM 2020, 12-19 September 2020)}, publisher={University of Carthage and INDRUM}, author={Lankeit, Elisa and Biehler, Rolf}, editor={Hausberger, T. and Bosch, M. and Chelloughi, F.}, year={2020} }","mla":"Lankeit, Elisa, and Rolf Biehler. “‘I Only Know the Absolute Value Function’–About Students’ Concept Images and Example Spaces Concerning Continuity and Differentiability.” <i>Proceedings of the Third Conference of the International Network for Didactic Research in University Mathematics (INDRUM 2020, 12-19 September 2020)</i>, edited by T. Hausberger et al., University of Carthage and INDRUM, 2020.","short":"E. Lankeit, R. Biehler, in: T. Hausberger, M. Bosch, F. Chelloughi (Eds.), Proceedings of the Third Conference of the International Network for Didactic Research in University Mathematics (INDRUM 2020, 12-19 September 2020), University of Carthage and INDRUM, Bizerte, Tunisia, 2020.","apa":"Lankeit, E., &#38; Biehler, R. (2020). “I only know the absolute value function”–About students’ concept images and example spaces concerning continuity and differentiability. In T. Hausberger, M. Bosch, &#38; F. Chelloughi (Eds.), <i>Proceedings of the Third Conference of the International Network for Didactic Research in University Mathematics (INDRUM 2020, 12-19 September 2020)</i>. University of Carthage and INDRUM.","ama":"Lankeit E, Biehler R. “I only know the absolute value function”–About students’ concept images and example spaces concerning continuity and differentiability. In: Hausberger T, Bosch M, Chelloughi F, eds. <i>Proceedings of the Third Conference of the International Network for Didactic Research in University Mathematics (INDRUM 2020, 12-19 September 2020)</i>. University of Carthage and INDRUM; 2020.","ieee":"E. Lankeit and R. Biehler, “‘I only know the absolute value function’–About students’ concept images and example spaces concerning continuity and differentiability,” in <i>Proceedings of the Third Conference of the International Network for Didactic Research in University Mathematics (INDRUM 2020, 12-19 September 2020)</i>, T. Hausberger, M. Bosch, and F. Chelloughi, Eds. Bizerte, Tunisia: University of Carthage and INDRUM, 2020.","chicago":"Lankeit, Elisa, and Rolf Biehler. “‘I Only Know the Absolute Value Function’–About Students’ Concept Images and Example Spaces Concerning Continuity and Differentiability.” In <i>Proceedings of the Third Conference of the International Network for Didactic Research in University Mathematics (INDRUM 2020, 12-19 September 2020)</i>, edited by T. Hausberger, M. Bosch, and F. Chelloughi. Bizerte, Tunisia: University of Carthage and INDRUM, 2020."}},{"keyword":["Algebra and Number Theory"],"language":[{"iso":"eng"}],"external_id":{"arxiv":["1904.02573 "]},"abstract":[{"lang":"eng","text":"We give an exact formula for the number of G-extensions of local function fields Fq((t)) for finite abelian groups G up to a conductor bound. As an application we give a lower bound for the corresponding counting problem by discriminant.\r\n"}],"publication":"Journal of Number Theory","title":"The conductor density of local function fields with abelian Galois group","publisher":"Elsevier BV","date_created":"2022-12-22T10:50:03Z","year":"2020","_id":"34841","department":[{"_id":"102"}],"user_id":"82981","status":"public","type":"journal_article","doi":"10.1016/j.jnt.2019.11.007","date_updated":"2025-06-13T08:18:30Z","volume":212,"author":[{"first_name":"Jürgen","id":"21202","full_name":"Klüners, Jürgen","last_name":"Klüners"},{"first_name":"Raphael","full_name":"Müller, Raphael","last_name":"Müller"}],"intvolume":"       212","page":"311-322","citation":{"ama":"Klüners J, Müller R. The conductor density of local function fields with abelian Galois group. <i>Journal of Number Theory</i>. 2020;212:311-322. doi:<a href=\"https://doi.org/10.1016/j.jnt.2019.11.007\">10.1016/j.jnt.2019.11.007</a>","chicago":"Klüners, Jürgen, and Raphael Müller. “The Conductor Density of Local Function Fields with Abelian Galois Group.” <i>Journal of Number Theory</i> 212 (2020): 311–22. <a href=\"https://doi.org/10.1016/j.jnt.2019.11.007\">https://doi.org/10.1016/j.jnt.2019.11.007</a>.","ieee":"J. Klüners and R. Müller, “The conductor density of local function fields with abelian Galois group,” <i>Journal of Number Theory</i>, vol. 212, pp. 311–322, 2020, doi: <a href=\"https://doi.org/10.1016/j.jnt.2019.11.007\">10.1016/j.jnt.2019.11.007</a>.","apa":"Klüners, J., &#38; Müller, R. (2020). The conductor density of local function fields with abelian Galois group. <i>Journal of Number Theory</i>, <i>212</i>, 311–322. <a href=\"https://doi.org/10.1016/j.jnt.2019.11.007\">https://doi.org/10.1016/j.jnt.2019.11.007</a>","short":"J. Klüners, R. Müller, Journal of Number Theory 212 (2020) 311–322.","bibtex":"@article{Klüners_Müller_2020, title={The conductor density of local function fields with abelian Galois group}, volume={212}, DOI={<a href=\"https://doi.org/10.1016/j.jnt.2019.11.007\">10.1016/j.jnt.2019.11.007</a>}, journal={Journal of Number Theory}, publisher={Elsevier BV}, author={Klüners, Jürgen and Müller, Raphael}, year={2020}, pages={311–322} }","mla":"Klüners, Jürgen, and Raphael Müller. “The Conductor Density of Local Function Fields with Abelian Galois Group.” <i>Journal of Number Theory</i>, vol. 212, Elsevier BV, 2020, pp. 311–22, doi:<a href=\"https://doi.org/10.1016/j.jnt.2019.11.007\">10.1016/j.jnt.2019.11.007</a>."},"publication_identifier":{"issn":["0022-314X"]},"publication_status":"published"},{"abstract":[{"text":"Many PDEs (Burgers' equation, KdV, Camassa-Holm, Euler's fluid equations, …) can be formulated as infinite-dimensional Lie-Poisson systems. These are Hamiltonian systems on manifolds equipped with Poisson brackets. The Poisson structure is connected to conservation properties and other geometric features of solutions to the PDE and, therefore, of great interest for numerical integration. For the example of Burgers' equations and related PDEs we use Clebsch variables to lift the original system to a collective Hamiltonian system on a symplectic manifold whose structure is related to the original Lie-Poisson structure. On the collective Hamiltonian system a symplectic integrator can be applied. Our numerical examples show excellent conservation properties and indicate that the disadvantage of an increased phase-space dimension can be outweighed by the advantage of symplectic integration.","lang":"eng"}],"status":"public","publication":"Journal of Computational Dynamics","type":"journal_article","article_type":"original","language":[{"iso":"eng"}],"extern":"1","_id":"19945","department":[{"_id":"636"}],"user_id":"85279","year":"2019","page":"111-130","intvolume":"         6","citation":{"bibtex":"@article{McLachlan_Offen_Tapley_2019, title={Symplectic integration of PDEs using Clebsch variables}, volume={6}, DOI={<a href=\"https://doi.org/10.3934/jcd.2019005\">10.3934/jcd.2019005</a>}, number={1}, journal={Journal of Computational Dynamics}, publisher={American Institute of Mathematical Sciences (AIMS)}, author={McLachlan, Robert I and Offen, Christian and Tapley, Benjamin K}, year={2019}, pages={111–130} }","mla":"McLachlan, Robert I., et al. “Symplectic Integration of PDEs Using Clebsch Variables.” <i>Journal of Computational Dynamics</i>, vol. 6, no. 1, American Institute of Mathematical Sciences (AIMS), 2019, pp. 111–30, doi:<a href=\"https://doi.org/10.3934/jcd.2019005\">10.3934/jcd.2019005</a>.","short":"R.I. McLachlan, C. Offen, B.K. Tapley, Journal of Computational Dynamics 6 (2019) 111–130.","apa":"McLachlan, R. I., Offen, C., &#38; Tapley, B. K. (2019). Symplectic integration of PDEs using Clebsch variables. <i>Journal of Computational Dynamics</i>, <i>6</i>(1), 111–130. <a href=\"https://doi.org/10.3934/jcd.2019005\">https://doi.org/10.3934/jcd.2019005</a>","ieee":"R. I. McLachlan, C. Offen, and B. K. Tapley, “Symplectic integration of PDEs using Clebsch variables,” <i>Journal of Computational Dynamics</i>, vol. 6, no. 1, pp. 111–130, 2019.","chicago":"McLachlan, Robert I, Christian Offen, and Benjamin K Tapley. “Symplectic Integration of PDEs Using Clebsch Variables.” <i>Journal of Computational Dynamics</i> 6, no. 1 (2019): 111–30. <a href=\"https://doi.org/10.3934/jcd.2019005\">https://doi.org/10.3934/jcd.2019005</a>.","ama":"McLachlan RI, Offen C, Tapley BK. Symplectic integration of PDEs using Clebsch variables. <i>Journal of Computational Dynamics</i>. 2019;6(1):111-130. doi:<a href=\"https://doi.org/10.3934/jcd.2019005\">10.3934/jcd.2019005</a>"},"publication_identifier":{"issn":["2158-2505"]},"issue":"1","title":"Symplectic integration of PDEs using Clebsch variables","doi":"10.3934/jcd.2019005","main_file_link":[{"open_access":"1","url":"http://www.aimsciences.org/article/doi/10.3934/jcd.2019005"}],"date_updated":"2022-01-06T06:54:15Z","publisher":"American Institute of Mathematical Sciences (AIMS)","oa":"1","volume":6,"date_created":"2020-10-06T16:44:07Z","author":[{"first_name":"Robert I","last_name":"McLachlan","full_name":"McLachlan, Robert I"},{"first_name":"Christian","id":"85279","full_name":"Offen, Christian","orcid":"https://orcid.org/0000-0002-5940-8057","last_name":"Offen"},{"last_name":"Tapley","full_name":"Tapley, Benjamin K","first_name":"Benjamin K"}]},{"title":"Coarse-graining molecular systems by spectral matching","doi":"10.1063/1.5100131","date_updated":"2022-01-06T06:55:20Z","date_created":"2021-04-30T17:01:13Z","author":[{"first_name":"Feliks","last_name":"Nüske","orcid":"0000-0003-2444-7889","full_name":"Nüske, Feliks","id":"81513"},{"last_name":"Boninsegna","full_name":"Boninsegna, Lorenzo","first_name":"Lorenzo"},{"last_name":"Clementi","full_name":"Clementi, Cecilia","first_name":"Cecilia"}],"year":"2019","citation":{"ama":"Nüske F, Boninsegna L, Clementi C. Coarse-graining molecular systems by spectral matching. <i>The Journal of Chemical Physics</i>. 2019. doi:<a href=\"https://doi.org/10.1063/1.5100131\">10.1063/1.5100131</a>","ieee":"F. Nüske, L. Boninsegna, and C. Clementi, “Coarse-graining molecular systems by spectral matching,” <i>The Journal of Chemical Physics</i>, 2019.","chicago":"Nüske, Feliks, Lorenzo Boninsegna, and Cecilia Clementi. “Coarse-Graining Molecular Systems by Spectral Matching.” <i>The Journal of Chemical Physics</i>, 2019. <a href=\"https://doi.org/10.1063/1.5100131\">https://doi.org/10.1063/1.5100131</a>.","apa":"Nüske, F., Boninsegna, L., &#38; Clementi, C. (2019). Coarse-graining molecular systems by spectral matching. <i>The Journal of Chemical Physics</i>. <a href=\"https://doi.org/10.1063/1.5100131\">https://doi.org/10.1063/1.5100131</a>","short":"F. Nüske, L. Boninsegna, C. Clementi, The Journal of Chemical Physics (2019).","mla":"Nüske, Feliks, et al. “Coarse-Graining Molecular Systems by Spectral Matching.” <i>The Journal of Chemical Physics</i>, 044116, 2019, doi:<a href=\"https://doi.org/10.1063/1.5100131\">10.1063/1.5100131</a>.","bibtex":"@article{Nüske_Boninsegna_Clementi_2019, title={Coarse-graining molecular systems by spectral matching}, DOI={<a href=\"https://doi.org/10.1063/1.5100131\">10.1063/1.5100131</a>}, number={044116}, journal={The Journal of Chemical Physics}, author={Nüske, Feliks and Boninsegna, Lorenzo and Clementi, Cecilia}, year={2019} }"},"publication_status":"published","publication_identifier":{"issn":["0021-9606","1089-7690"]},"article_number":"044116","extern":"1","language":[{"iso":"eng"}],"_id":"21944","user_id":"81513","department":[{"_id":"101"}],"status":"public","type":"journal_article","publication":"The Journal of Chemical Physics"},{"user_id":"30933","department":[{"_id":"10"}],"_id":"8577","language":[{"iso":"eng"}],"type":"book_chapter","publication":"Beiträge zum Mathematikunterricht 2019","status":"public","date_created":"2019-03-25T15:35:44Z","author":[{"full_name":"Kuklinski, Christiane","last_name":"Kuklinski","first_name":"Christiane"},{"first_name":"Elena","full_name":"Leis, Elena","last_name":"Leis"},{"full_name":"Liebendörfer, Michael","last_name":"Liebendörfer","first_name":"Michael"},{"first_name":"Reinhard","last_name":"Hochmuth","full_name":"Hochmuth, Reinhard"}],"date_updated":"2022-01-06T07:03:57Z","title":"Erklärung von Mathematikleistung im Ingenieursstudium","citation":{"apa":"Kuklinski, C., Leis, E., Liebendörfer, M., &#38; Hochmuth, R. (2019). Erklärung von Mathematikleistung im Ingenieursstudium. In <i>Beiträge zum Mathematikunterricht 2019</i>.","mla":"Kuklinski, Christiane, et al. “Erklärung von Mathematikleistung Im Ingenieursstudium.” <i>Beiträge Zum Mathematikunterricht 2019</i>, 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} }","short":"C. Kuklinski, E. Leis, M. Liebendörfer, R. Hochmuth, in: Beiträge Zum Mathematikunterricht 2019, 2019.","ama":"Kuklinski C, Leis E, Liebendörfer M, Hochmuth R. Erklärung von Mathematikleistung im Ingenieursstudium. In: <i>Beiträge Zum Mathematikunterricht 2019</i>. ; 2019.","ieee":"C. Kuklinski, E. Leis, M. Liebendörfer, and R. Hochmuth, “Erklärung von Mathematikleistung im Ingenieursstudium,” in <i>Beiträge zum Mathematikunterricht 2019</i>, 2019.","chicago":"Kuklinski, Christiane, Elena Leis, Michael Liebendörfer, and Reinhard Hochmuth. “Erklärung von Mathematikleistung Im Ingenieursstudium.” In <i>Beiträge Zum Mathematikunterricht 2019</i>, 2019."},"year":"2019"},{"department":[{"_id":"101"}],"user_id":"47427","_id":"16709","language":[{"iso":"eng"}],"publication":"Nonlinear Dynamics","type":"journal_article","status":"public","date_created":"2020-04-16T14:05:04Z","author":[{"full_name":"Sahai, Tuhin","last_name":"Sahai","first_name":"Tuhin"},{"last_name":"Ziessler","full_name":"Ziessler, Adrian","first_name":"Adrian"},{"last_name":"Klus","full_name":"Klus, Stefan","first_name":"Stefan"},{"first_name":"Michael","last_name":"Dellnitz","full_name":"Dellnitz, Michael"}],"date_updated":"2022-01-06T06:52:55Z","doi":"10.1007/s11071-019-05092-5","title":"Continuous relaxations for the traveling salesman problem","publication_identifier":{"issn":["0924-090X","1573-269X"]},"publication_status":"published","citation":{"apa":"Sahai, T., Ziessler, A., Klus, S., &#38; Dellnitz, M. (2019). Continuous relaxations for the traveling salesman problem. <i>Nonlinear Dynamics</i>. <a href=\"https://doi.org/10.1007/s11071-019-05092-5\">https://doi.org/10.1007/s11071-019-05092-5</a>","short":"T. Sahai, A. Ziessler, S. Klus, M. Dellnitz, Nonlinear Dynamics (2019).","bibtex":"@article{Sahai_Ziessler_Klus_Dellnitz_2019, title={Continuous relaxations for the traveling salesman problem}, DOI={<a href=\"https://doi.org/10.1007/s11071-019-05092-5\">10.1007/s11071-019-05092-5</a>}, journal={Nonlinear Dynamics}, author={Sahai, Tuhin and Ziessler, Adrian and Klus, Stefan and Dellnitz, Michael}, year={2019} }","mla":"Sahai, Tuhin, et al. “Continuous Relaxations for the Traveling Salesman Problem.” <i>Nonlinear Dynamics</i>, 2019, doi:<a href=\"https://doi.org/10.1007/s11071-019-05092-5\">10.1007/s11071-019-05092-5</a>.","ieee":"T. Sahai, A. Ziessler, S. Klus, and M. Dellnitz, “Continuous relaxations for the traveling salesman problem,” <i>Nonlinear Dynamics</i>, 2019.","chicago":"Sahai, Tuhin, Adrian Ziessler, Stefan Klus, and Michael Dellnitz. “Continuous Relaxations for the Traveling Salesman Problem.” <i>Nonlinear Dynamics</i>, 2019. <a href=\"https://doi.org/10.1007/s11071-019-05092-5\">https://doi.org/10.1007/s11071-019-05092-5</a>.","ama":"Sahai T, Ziessler A, Klus S, Dellnitz M. Continuous relaxations for the traveling salesman problem. <i>Nonlinear Dynamics</i>. 2019. doi:<a href=\"https://doi.org/10.1007/s11071-019-05092-5\">10.1007/s11071-019-05092-5</a>"},"year":"2019"},{"author":[{"first_name":"Sebastian","id":"47427","full_name":"Peitz, Sebastian","orcid":"https://orcid.org/0000-0002-3389-793X","last_name":"Peitz"},{"first_name":"Stefan","full_name":"Klus, Stefan","last_name":"Klus"}],"date_created":"2019-07-10T08:08:16Z","volume":106,"date_updated":"2022-01-06T06:50:46Z","doi":"10.1016/j.automatica.2019.05.016","title":"Koopman operator-based model reduction for switched-system control of PDEs","publication_status":"published","publication_identifier":{"issn":["0005-1098"]},"citation":{"bibtex":"@article{Peitz_Klus_2019, title={Koopman operator-based model reduction for switched-system control of PDEs}, volume={106}, DOI={<a href=\"https://doi.org/10.1016/j.automatica.2019.05.016\">10.1016/j.automatica.2019.05.016</a>}, journal={Automatica}, author={Peitz, Sebastian and Klus, Stefan}, year={2019}, pages={184–191} }","mla":"Peitz, Sebastian, and Stefan Klus. “Koopman Operator-Based Model Reduction for Switched-System Control of PDEs.” <i>Automatica</i>, vol. 106, 2019, pp. 184–91, doi:<a href=\"https://doi.org/10.1016/j.automatica.2019.05.016\">10.1016/j.automatica.2019.05.016</a>.","short":"S. Peitz, S. Klus, Automatica 106 (2019) 184–191.","apa":"Peitz, S., &#38; Klus, S. (2019). Koopman operator-based model reduction for switched-system control of PDEs. <i>Automatica</i>, <i>106</i>, 184–191. <a href=\"https://doi.org/10.1016/j.automatica.2019.05.016\">https://doi.org/10.1016/j.automatica.2019.05.016</a>","chicago":"Peitz, Sebastian, and Stefan Klus. “Koopman Operator-Based Model Reduction for Switched-System Control of PDEs.” <i>Automatica</i> 106 (2019): 184–91. <a href=\"https://doi.org/10.1016/j.automatica.2019.05.016\">https://doi.org/10.1016/j.automatica.2019.05.016</a>.","ieee":"S. Peitz and S. Klus, “Koopman operator-based model reduction for switched-system control of PDEs,” <i>Automatica</i>, vol. 106, pp. 184–191, 2019.","ama":"Peitz S, Klus S. Koopman operator-based model reduction for switched-system control of PDEs. <i>Automatica</i>. 2019;106:184-191. doi:<a href=\"https://doi.org/10.1016/j.automatica.2019.05.016\">10.1016/j.automatica.2019.05.016</a>"},"page":"184-191","intvolume":"       106","year":"2019","user_id":"47427","department":[{"_id":"101"}],"_id":"10593","language":[{"iso":"eng"}],"article_type":"original","type":"journal_article","publication":"Automatica","status":"public","abstract":[{"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.","lang":"eng"}]},{"doi":"10.1007/s10898-019-00737-6","author":[{"last_name":"Gebken","full_name":"Gebken, Bennet","id":"32643","first_name":"Bennet"},{"first_name":"Sebastian","orcid":"https://orcid.org/0000-0002-3389-793X","last_name":"Peitz","id":"47427","full_name":"Peitz, Sebastian"},{"full_name":"Dellnitz, Michael","last_name":"Dellnitz","first_name":"Michael"}],"volume":73,"date_updated":"2022-01-06T06:50:46Z","citation":{"ama":"Gebken B, Peitz S, Dellnitz M. On the hierarchical structure of Pareto critical sets. <i>Journal of Global Optimization</i>. 2019;73(4):891-913. doi:<a href=\"https://doi.org/10.1007/s10898-019-00737-6\">10.1007/s10898-019-00737-6</a>","chicago":"Gebken, Bennet, Sebastian Peitz, and Michael Dellnitz. “On the Hierarchical Structure of Pareto Critical Sets.” <i>Journal of Global Optimization</i> 73, no. 4 (2019): 891–913. <a href=\"https://doi.org/10.1007/s10898-019-00737-6\">https://doi.org/10.1007/s10898-019-00737-6</a>.","ieee":"B. Gebken, S. Peitz, and M. Dellnitz, “On the hierarchical structure of Pareto critical sets,” <i>Journal of Global Optimization</i>, vol. 73, no. 4, pp. 891–913, 2019.","apa":"Gebken, B., Peitz, S., &#38; Dellnitz, M. (2019). On the hierarchical structure of Pareto critical sets. <i>Journal of Global Optimization</i>, <i>73</i>(4), 891–913. <a href=\"https://doi.org/10.1007/s10898-019-00737-6\">https://doi.org/10.1007/s10898-019-00737-6</a>","short":"B. Gebken, S. Peitz, M. Dellnitz, Journal of Global Optimization 73 (2019) 891–913.","bibtex":"@article{Gebken_Peitz_Dellnitz_2019, title={On the hierarchical structure of Pareto critical sets}, volume={73}, DOI={<a href=\"https://doi.org/10.1007/s10898-019-00737-6\">10.1007/s10898-019-00737-6</a>}, number={4}, journal={Journal of Global Optimization}, author={Gebken, Bennet and Peitz, Sebastian and Dellnitz, Michael}, year={2019}, pages={891–913} }","mla":"Gebken, Bennet, et al. “On the Hierarchical Structure of Pareto Critical Sets.” <i>Journal of Global Optimization</i>, vol. 73, no. 4, 2019, pp. 891–913, doi:<a href=\"https://doi.org/10.1007/s10898-019-00737-6\">10.1007/s10898-019-00737-6</a>."},"page":"891-913","intvolume":"        73","publication_status":"published","publication_identifier":{"issn":["0925-5001","1573-2916"]},"article_type":"original","user_id":"47427","department":[{"_id":"101"}],"_id":"10595","status":"public","type":"journal_article","title":"On the hierarchical structure of Pareto critical sets","date_created":"2019-07-10T08:13:31Z","year":"2019","issue":"4","language":[{"iso":"eng"}],"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."}],"publication":"Journal of Global Optimization"},{"status":"public","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."}],"type":"conference","publication":"2019 IEEE International Symposium on Predictive Control of Electrical Drives and Power Electronics (PRECEDE)","language":[{"iso":"eng"}],"user_id":"47427","department":[{"_id":"101"}],"_id":"10597","citation":{"apa":"Hanke, S., Peitz, S., Wallscheid, O., Böcker, J., &#38; Dellnitz, M. (2019). Finite-Control-Set Model Predictive Control for a Permanent Magnet Synchronous Motor Application with Online Least Squares System Identification. In <i>2019 IEEE International Symposium on Predictive Control of Electrical Drives and Power Electronics (PRECEDE)</i>. <a href=\"https://doi.org/10.1109/precede.2019.8753313\">https://doi.org/10.1109/precede.2019.8753313</a>","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.","mla":"Hanke, Soren, et al. “Finite-Control-Set Model Predictive Control for a Permanent Magnet Synchronous Motor Application with Online Least Squares System Identification.” <i>2019 IEEE International Symposium on Predictive Control of Electrical Drives and Power Electronics (PRECEDE)</i>, 2019, doi:<a href=\"https://doi.org/10.1109/precede.2019.8753313\">10.1109/precede.2019.8753313</a>.","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={<a href=\"https://doi.org/10.1109/precede.2019.8753313\">10.1109/precede.2019.8753313</a>}, 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 <i>2019 IEEE International Symposium on Predictive Control of Electrical Drives and Power Electronics (PRECEDE)</i>, 2019. <a href=\"https://doi.org/10.1109/precede.2019.8753313\">https://doi.org/10.1109/precede.2019.8753313</a>.","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 <i>2019 IEEE International Symposium on Predictive Control of Electrical Drives and Power Electronics (PRECEDE)</i>, 2019.","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: <i>2019 IEEE International Symposium on Predictive Control of Electrical Drives and Power Electronics (PRECEDE)</i>. ; 2019. doi:<a href=\"https://doi.org/10.1109/precede.2019.8753313\">10.1109/precede.2019.8753313</a>"},"year":"2019","publication_status":"published","publication_identifier":{"isbn":["9781538694145"]},"doi":"10.1109/precede.2019.8753313","title":"Finite-Control-Set Model Predictive Control for a Permanent Magnet Synchronous Motor Application with Online Least Squares System Identification","date_created":"2019-07-10T08:15:23Z","author":[{"first_name":"Soren","full_name":"Hanke, Soren","last_name":"Hanke"},{"id":"47427","full_name":"Peitz, Sebastian","orcid":"https://orcid.org/0000-0002-3389-793X","last_name":"Peitz","first_name":"Sebastian"},{"first_name":"Oliver","last_name":"Wallscheid","full_name":"Wallscheid, Oliver"},{"last_name":"Böcker","full_name":"Böcker, Joachim","first_name":"Joachim"},{"first_name":"Michael","full_name":"Dellnitz, Michael","last_name":"Dellnitz"}],"date_updated":"2022-01-06T06:50:46Z"},{"date_created":"2019-08-30T11:58:37Z","author":[{"first_name":"Jan","last_name":"Schumacher","orcid":"0000-0002-6676-9774","full_name":"Schumacher, Jan","id":"26809"}],"date_updated":"2022-01-06T06:51:28Z","conference":{"name":"53. Jahrestagung der Gesellschaft für Didaktik der Mathematik","location":"Regensburg"},"title":"Rekonstruktion diagrammatischen Schließens am Beispiel der Subtraktion negativer Zahlen","publication_status":"inpress","citation":{"mla":"Schumacher, Jan. “Rekonstruktion diagrammatischen Schließens am Beispiel der Subtraktion negativer Zahlen.” <i>Beiträge zum Mathematikunterricht 2019</i>.","bibtex":"@inproceedings{Schumacher, title={Rekonstruktion diagrammatischen Schließens am Beispiel der Subtraktion negativer Zahlen}, booktitle={Beiträge zum Mathematikunterricht 2019}, author={Schumacher, Jan} }","short":"J. Schumacher, in: Beiträge zum Mathematikunterricht 2019, n.d.","apa":"Schumacher, J. (n.d.). Rekonstruktion diagrammatischen Schließens am Beispiel der Subtraktion negativer Zahlen. In <i>Beiträge zum Mathematikunterricht 2019</i>. Regensburg.","ieee":"J. Schumacher, “Rekonstruktion diagrammatischen Schließens am Beispiel der Subtraktion negativer Zahlen,” in <i>Beiträge zum Mathematikunterricht 2019</i>, Regensburg.","chicago":"Schumacher, Jan. “Rekonstruktion diagrammatischen Schließens am Beispiel der Subtraktion negativer Zahlen.” In <i>Beiträge zum Mathematikunterricht 2019</i>, n.d.","ama":"Schumacher J. Rekonstruktion diagrammatischen Schließens am Beispiel der Subtraktion negativer Zahlen. In: <i>Beiträge zum Mathematikunterricht 2019</i>."},"year":"2019","department":[{"_id":"360"},{"_id":"98"}],"user_id":"26809","_id":"13106","language":[{"iso":"ger"}],"publication":"Beiträge zum Mathematikunterricht 2019","type":"conference","status":"public"},{"user_id":"26809","department":[{"_id":"360"},{"_id":"98"}],"_id":"13107","language":[{"iso":"eng"}],"keyword":["diagrammatic reasoning","hypothetical learning trajectory","induction extrapolatory method","integers","negative numbers","permanence principle","semiotics"],"type":"conference","publication":"Proceedings of the Eleventh Congress of the European Society for Research in Mathematics Education (CERME11, February 6 – 10, 2019)","status":"public","abstract":[{"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.","lang":"eng"}],"editor":[{"full_name":"Jankvist, Uffe Thomas","last_name":"Jankvist","first_name":"Uffe Thomas"},{"last_name":"Van den Heuvel-Panhuizen","full_name":"Van den Heuvel-Panhuizen, Marja","first_name":"Marja"},{"first_name":"Michiel","full_name":"Veldhuis, Michiel","last_name":"Veldhuis"}],"author":[{"full_name":"Schumacher, Jan","id":"26809","orcid":"0000-0002-6676-9774","last_name":"Schumacher","first_name":"Jan"},{"last_name":"Rezat","full_name":"Rezat, Sebastian","first_name":"Sebastian"}],"date_created":"2019-08-30T12:00:50Z","publisher":"Freudenthal Group & Freudenthal Institute, Utrecht University and ERME","date_updated":"2022-01-06T06:51:28Z","conference":{"start_date":"2019-02-06","name":"CERME 11","location":"Utrecht","end_date":"2019-02-10"},"title":"A Hypothetical Learning Trajectory for the Learning of the Rules for Manipulating Integers","publication_status":"accepted","quality_controlled":"1","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. <i>Proceedings of the Eleventh Congress of the European Society for Research in Mathematics Education (CERME11, February 6 – 10, 2019)</i>. Utrecht, the Netherlands: Freudenthal Group &#38; Freudenthal Institute, Utrecht University and ERME.","chicago":"Schumacher, Jan, and Sebastian Rezat. “A Hypothetical Learning Trajectory for the Learning of the Rules for Manipulating Integers.” In <i>Proceedings of the Eleventh Congress of the European Society for Research in Mathematics Education (CERME11, February 6 – 10, 2019)</i>, edited by Uffe Thomas Jankvist, Marja Van den Heuvel-Panhuizen, and Michiel Veldhuis. Utrecht, the Netherlands: Freudenthal Group &#38; 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 <i>Proceedings of the Eleventh Congress of the European Society for Research in Mathematics Education (CERME11, February 6 – 10, 2019)</i>, Utrecht.","apa":"Schumacher, J., &#38; 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, &#38; M. Veldhuis (Eds.), <i>Proceedings of the Eleventh Congress of the European Society for Research in Mathematics Education (CERME11, February 6 – 10, 2019)</i>. Utrecht, the Netherlands: Freudenthal Group &#38; 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 &#38; 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} }","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 &#38; Freudenthal Institute, Utrecht University and ERME, Utrecht, the Netherlands, n.d.","mla":"Schumacher, Jan, and Sebastian Rezat. “A Hypothetical Learning Trajectory for the Learning of the Rules for Manipulating Integers.” <i>Proceedings of the Eleventh Congress of the European Society for Research in Mathematics Education (CERME11, February 6 – 10, 2019)</i>, edited by Uffe Thomas Jankvist et al., Freudenthal Group &#38; Freudenthal Institute, Utrecht University and ERME."},"year":"2019","place":"Utrecht, the Netherlands"}]