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Fördereinheiten für heterogene Lerngruppen}, publisher={Klett Kallmeyer}, author={Häsel-Weide, Uta and Nührenbörger, M. and Moser Opitz, E. and Wittich, C.}, year={2017} }","ama":"Häsel-Weide U, Nührenbörger M, Moser Opitz E, Wittich C. <i>Ablösung vom zählenden Rechnen. Fördereinheiten für heterogene Lerngruppen</i>. 4th ed. Klett Kallmeyer; 2017.","mla":"Häsel-Weide, Uta, et al. <i>Ablösung vom zählenden Rechnen. Fördereinheiten für heterogene Lerngruppen</i>. 4th ed., Klett Kallmeyer, 2017."},"place":"Seelze","date_created":"2022-06-13T09:14:50Z","type":"book","department":[{"_id":"98"},{"_id":"543"}]},{"citation":{"chicago":"Black, Tobias. “Global Existence and Asymptotic Stability in a Competitive Two-Species Chemotaxis System with Two Signals.” <i>Discrete &#38;amp; Continuous Dynamical Systems - B</i> 22, no. 4 (2017): 1253–72. <a href=\"https://doi.org/10.3934/dcdsb.2017061\">https://doi.org/10.3934/dcdsb.2017061</a>.","short":"T. Black, Discrete &#38;amp; Continuous Dynamical Systems - B 22 (2017) 1253–1272.","apa":"Black, T. (2017). Global existence and asymptotic stability in a competitive two-species chemotaxis system with two signals. <i>Discrete &#38;amp; Continuous Dynamical Systems - B</i>, <i>22</i>(4), 1253–1272. <a href=\"https://doi.org/10.3934/dcdsb.2017061\">https://doi.org/10.3934/dcdsb.2017061</a>","ieee":"T. Black, “Global existence and asymptotic stability in a competitive two-species chemotaxis system with two signals,” <i>Discrete &#38;amp; Continuous Dynamical Systems - B</i>, vol. 22, no. 4, pp. 1253–1272, 2017, doi: <a href=\"https://doi.org/10.3934/dcdsb.2017061\">10.3934/dcdsb.2017061</a>.","ama":"Black T. Global existence and asymptotic stability in a competitive two-species chemotaxis system with two signals. <i>Discrete &#38;amp; Continuous Dynamical Systems - B</i>. 2017;22(4):1253-1272. doi:<a href=\"https://doi.org/10.3934/dcdsb.2017061\">10.3934/dcdsb.2017061</a>","bibtex":"@article{Black_2017, title={Global existence and asymptotic stability in a competitive two-species chemotaxis system with two signals}, volume={22}, DOI={<a href=\"https://doi.org/10.3934/dcdsb.2017061\">10.3934/dcdsb.2017061</a>}, number={4}, journal={Discrete &#38;amp; Continuous Dynamical Systems - B}, publisher={American Institute of Mathematical Sciences (AIMS)}, author={Black, Tobias}, year={2017}, pages={1253–1272} }","mla":"Black, Tobias. “Global Existence and Asymptotic Stability in a Competitive Two-Species Chemotaxis System with Two Signals.” <i>Discrete &#38;amp; Continuous Dynamical Systems - B</i>, vol. 22, no. 4, American Institute of Mathematical Sciences (AIMS), 2017, pp. 1253–72, doi:<a href=\"https://doi.org/10.3934/dcdsb.2017061\">10.3934/dcdsb.2017061</a>."},"status":"public","user_id":"23686","volume":22,"page":"1253-1272","publisher":"American Institute of Mathematical Sciences (AIMS)","_id":"34663","issue":"4","publication":"Discrete &amp; Continuous Dynamical Systems - B","type":"journal_article","keyword":["Applied Mathematics","Discrete Mathematics and Combinatorics"],"department":[{"_id":"34"},{"_id":"10"},{"_id":"90"}],"date_created":"2022-12-21T09:46:50Z","publication_status":"published","date_updated":"2022-12-21T10:05:19Z","intvolume":"        22","title":"Global existence and asymptotic stability in a competitive two-species chemotaxis system with two signals","year":"2017","publication_identifier":{"issn":["1553-524X"]},"author":[{"full_name":"Black, Tobias","first_name":"Tobias","last_name":"Black","orcid":"0000-0001-9963-0800","id":"23686"}],"doi":"10.3934/dcdsb.2017061","language":[{"iso":"eng"}]},{"citation":{"mla":"Black, Tobias, et al. “Singular Sensitivity in a Keller–Segel-Fluid System.” <i>Journal of Evolution Equations</i>, vol. 18, no. 2, Springer Science and Business Media LLC, 2017, pp. 561–81, doi:<a href=\"https://doi.org/10.1007/s00028-017-0411-5\">10.1007/s00028-017-0411-5</a>.","ama":"Black T, Lankeit J, Mizukami M. Singular sensitivity in a Keller–Segel-fluid system. <i>Journal of Evolution Equations</i>. 2017;18(2):561-581. doi:<a href=\"https://doi.org/10.1007/s00028-017-0411-5\">10.1007/s00028-017-0411-5</a>","bibtex":"@article{Black_Lankeit_Mizukami_2017, title={Singular sensitivity in a Keller–Segel-fluid system}, volume={18}, DOI={<a href=\"https://doi.org/10.1007/s00028-017-0411-5\">10.1007/s00028-017-0411-5</a>}, number={2}, journal={Journal of Evolution Equations}, publisher={Springer Science and Business Media LLC}, author={Black, Tobias and Lankeit, Johannes and Mizukami, Masaaki}, year={2017}, pages={561–581} }","apa":"Black, T., Lankeit, J., &#38; Mizukami, M. (2017). Singular sensitivity in a Keller–Segel-fluid system. <i>Journal of Evolution Equations</i>, <i>18</i>(2), 561–581. <a href=\"https://doi.org/10.1007/s00028-017-0411-5\">https://doi.org/10.1007/s00028-017-0411-5</a>","ieee":"T. Black, J. Lankeit, and M. Mizukami, “Singular sensitivity in a Keller–Segel-fluid system,” <i>Journal of Evolution Equations</i>, vol. 18, no. 2, pp. 561–581, 2017, doi: <a href=\"https://doi.org/10.1007/s00028-017-0411-5\">10.1007/s00028-017-0411-5</a>.","short":"T. Black, J. Lankeit, M. Mizukami, Journal of Evolution Equations 18 (2017) 561–581.","chicago":"Black, Tobias, Johannes Lankeit, and Masaaki Mizukami. “Singular Sensitivity in a Keller–Segel-Fluid System.” <i>Journal of Evolution Equations</i> 18, no. 2 (2017): 561–81. <a href=\"https://doi.org/10.1007/s00028-017-0411-5\">https://doi.org/10.1007/s00028-017-0411-5</a>."},"status":"public","user_id":"23686","volume":18,"page":"561-581","_id":"34665","publisher":"Springer Science and Business Media LLC","publication":"Journal of Evolution Equations","issue":"2","type":"journal_article","keyword":["Mathematics (miscellaneous)"],"department":[{"_id":"34"},{"_id":"10"},{"_id":"90"}],"date_created":"2022-12-21T09:47:13Z","date_updated":"2022-12-21T10:05:25Z","publication_status":"published","intvolume":"        18","title":"Singular sensitivity in a Keller–Segel-fluid system","year":"2017","publication_identifier":{"issn":["1424-3199","1424-3202"]},"author":[{"orcid":"0000-0001-9963-0800","last_name":"Black","first_name":"Tobias","full_name":"Black, Tobias","id":"23686"},{"last_name":"Lankeit","first_name":"Johannes","full_name":"Lankeit, Johannes"},{"last_name":"Mizukami","first_name":"Masaaki","full_name":"Mizukami, Masaaki"}],"doi":"10.1007/s00028-017-0411-5","language":[{"iso":"eng"}]},{"year":"2017","title":"A multiobjective MPC approach for autonomously driven electric vehicles","author":[{"full_name":"Peitz, Sebastian","first_name":"Sebastian","last_name":"Peitz","orcid":"https://orcid.org/0000-0002-3389-793X","id":"47427"},{"first_name":"Kai","last_name":"Schäfer","full_name":"Schäfer, Kai"},{"id":"16494","last_name":"Ober-Blöbaum","first_name":"Sina","full_name":"Ober-Blöbaum, Sina"},{"first_name":"Julian","last_name":"Eckstein","full_name":"Eckstein, Julian"},{"full_name":"Köhler, Ulrich","first_name":"Ulrich","last_name":"Köhler"},{"first_name":"Michael","last_name":"Dellnitz","full_name":"Dellnitz, Michael"}],"publication_identifier":{"issn":["2405-8963"]},"date_updated":"2022-01-21T13:58:41Z","publication_status":"published","intvolume":"        50","article_type":"original","language":[{"iso":"eng"}],"doi":"10.1016/j.ifacol.2017.08.1526","publication":"Proceedings of the 20th World Congress of the International Federation of Automatic Control (IFAC)","issue":"1","abstract":[{"lang":"eng","text":"We present a new algorithm for model predictive control of non-linear systems with respect to multiple, conflicting objectives. The idea is to provide a possibility to change the objective in real-time, e.g. as a reaction to changes in the environment or the system state itself. The algorithm utilises elements from various well-established concepts, namely multiobjective optimal control, economic as well as explicit model predictive control and motion planning with motion primitives. In order to realise real-time applicability, we split the computation into an online and an offline phase and we utilise symmetries in the open-loop optimal control problem to reduce the number of multiobjective optimal control problems that need to be solved in the offline phase. The results are illustrated using the example of an electric vehicle where the longitudinal dynamics are controlled with respect to the concurrent objectives arrival time and energy consumption."}],"date_created":"2019-03-29T13:32:46Z","type":"journal_article","department":[{"_id":"101"}],"status":"public","conference":{"end_date":"2017-07-14","start_date":"2017-07-09"},"page":"8674-8679","_id":"8756","user_id":"15694","volume":50,"citation":{"apa":"Peitz, S., Schäfer, K., Ober-Blöbaum, S., Eckstein, J., Köhler, U., &#38; Dellnitz, M. (2017). A multiobjective MPC approach for autonomously driven electric vehicles. <i>Proceedings of the 20th World Congress of the International Federation of Automatic Control (IFAC)</i>, <i>50</i>(1), 8674–8679. <a href=\"https://doi.org/10.1016/j.ifacol.2017.08.1526\">https://doi.org/10.1016/j.ifacol.2017.08.1526</a>","ieee":"S. Peitz, K. Schäfer, S. Ober-Blöbaum, J. Eckstein, U. Köhler, and M. Dellnitz, “A multiobjective MPC approach for autonomously driven electric vehicles,” <i>Proceedings of the 20th World Congress of the International Federation of Automatic Control (IFAC)</i>, vol. 50, no. 1, pp. 8674–8679, 2017, doi: <a href=\"https://doi.org/10.1016/j.ifacol.2017.08.1526\">10.1016/j.ifacol.2017.08.1526</a>.","chicago":"Peitz, Sebastian, Kai Schäfer, Sina Ober-Blöbaum, Julian Eckstein, Ulrich Köhler, and Michael Dellnitz. “A Multiobjective MPC Approach for Autonomously Driven Electric Vehicles.” <i>Proceedings of the 20th World Congress of the International Federation of Automatic Control (IFAC)</i> 50, no. 1 (2017): 8674–79. <a href=\"https://doi.org/10.1016/j.ifacol.2017.08.1526\">https://doi.org/10.1016/j.ifacol.2017.08.1526</a>.","short":"S. Peitz, K. Schäfer, S. Ober-Blöbaum, J. Eckstein, U. Köhler, M. Dellnitz, Proceedings of the 20th World Congress of the International Federation of Automatic Control (IFAC) 50 (2017) 8674–8679.","mla":"Peitz, Sebastian, et al. “A Multiobjective MPC Approach for Autonomously Driven Electric Vehicles.” <i>Proceedings of the 20th World Congress of the International Federation of Automatic Control (IFAC)</i>, vol. 50, no. 1, 2017, pp. 8674–79, doi:<a href=\"https://doi.org/10.1016/j.ifacol.2017.08.1526\">10.1016/j.ifacol.2017.08.1526</a>.","ama":"Peitz S, Schäfer K, Ober-Blöbaum S, Eckstein J, Köhler U, Dellnitz M. A multiobjective MPC approach for autonomously driven electric vehicles. <i>Proceedings of the 20th World Congress of the International Federation of Automatic Control (IFAC)</i>. 2017;50(1):8674-8679. doi:<a href=\"https://doi.org/10.1016/j.ifacol.2017.08.1526\">10.1016/j.ifacol.2017.08.1526</a>","bibtex":"@article{Peitz_Schäfer_Ober-Blöbaum_Eckstein_Köhler_Dellnitz_2017, title={A multiobjective MPC approach for autonomously driven electric vehicles}, volume={50}, DOI={<a href=\"https://doi.org/10.1016/j.ifacol.2017.08.1526\">10.1016/j.ifacol.2017.08.1526</a>}, number={1}, journal={Proceedings of the 20th World Congress of the International Federation of Automatic Control (IFAC)}, author={Peitz, Sebastian and Schäfer, Kai and Ober-Blöbaum, Sina and Eckstein, Julian and Köhler, Ulrich and Dellnitz, Michael}, year={2017}, pages={8674–8679} }"}},{"user_id":"15694","language":[{"iso":"eng"}],"_id":"29430","date_updated":"2022-01-21T14:00:25Z","year":"2017","status":"public","title":"Variational multirate integration in discrete mechanics and optimal control","conference":{"start_date":"2017-06-19","end_date":"2017-06-22"},"author":[{"full_name":"Gail, T.","last_name":"Gail","first_name":"T."},{"full_name":"Ober-Blöbaum, Sina","first_name":"Sina","last_name":"Ober-Blöbaum","id":"16494"},{"first_name":"S. ","last_name":"Leyendecker","full_name":"Leyendecker, S. "}],"type":"conference","department":[{"_id":"636"}],"date_created":"2022-01-19T10:06:50Z","publication":"ECCOMAS Thematic Conference on Multibody Dynamics","citation":{"short":"T. Gail, S. Ober-Blöbaum, S. Leyendecker, in: ECCOMAS Thematic Conference on Multibody Dynamics, 2017.","chicago":"Gail, T., Sina Ober-Blöbaum, and S.  Leyendecker. “Variational Multirate Integration in Discrete Mechanics and Optimal Control.” In <i>ECCOMAS Thematic Conference on Multibody Dynamics</i>, 2017.","apa":"Gail, T., Ober-Blöbaum, S., &#38; Leyendecker, S. (2017). Variational multirate integration in discrete mechanics and optimal control. <i>ECCOMAS Thematic Conference on Multibody Dynamics</i>.","ieee":"T. Gail, S. Ober-Blöbaum, and S. Leyendecker, “Variational multirate integration in discrete mechanics and optimal control,” 2017.","ama":"Gail T, Ober-Blöbaum S, Leyendecker S. Variational multirate integration in discrete mechanics and optimal control. In: <i>ECCOMAS Thematic Conference on Multibody Dynamics</i>. ; 2017.","bibtex":"@inproceedings{Gail_Ober-Blöbaum_Leyendecker_2017, title={Variational multirate integration in discrete mechanics and optimal control}, booktitle={ECCOMAS Thematic Conference on Multibody Dynamics}, author={Gail, T. and Ober-Blöbaum, Sina and Leyendecker, S. }, year={2017} }","mla":"Gail, T., et al. “Variational Multirate Integration in Discrete Mechanics and Optimal Control.” <i>ECCOMAS Thematic Conference on Multibody Dynamics</i>, 2017."}},{"supervisor":[{"id":"49178","full_name":"Weich, Tobias","first_name":"Tobias","orcid":"0000-0002-9648-6919","last_name":"Weich"},{"full_name":"Silberhorn, Christine","first_name":"Christine","last_name":"Silberhorn","id":"26263"}],"citation":{"apa":"Schütte, P. (2017). <i>Identifying and Realizing Symmetries in Quantum Walks - Symmetry Classes and Quantum Walks</i>.","ieee":"P. Schütte, <i>Identifying and Realizing Symmetries in Quantum Walks - Symmetry Classes and Quantum Walks</i>. 2017.","chicago":"Schütte, Philipp. <i>Identifying and Realizing Symmetries in Quantum Walks - Symmetry Classes and Quantum Walks</i>, 2017.","short":"P. Schütte, Identifying and Realizing Symmetries in Quantum Walks - Symmetry Classes and Quantum Walks, 2017.","mla":"Schütte, Philipp. <i>Identifying and Realizing Symmetries in Quantum Walks - Symmetry Classes and Quantum Walks</i>. 2017.","ama":"Schütte P. <i>Identifying and Realizing Symmetries in Quantum Walks - Symmetry Classes and Quantum Walks</i>.; 2017.","bibtex":"@book{Schütte_2017, title={Identifying and Realizing Symmetries in Quantum Walks - Symmetry Classes and Quantum Walks}, author={Schütte, Philipp}, year={2017} }"},"type":"bachelorsthesis","department":[{"_id":"548"},{"_id":"288"}],"date_created":"2022-05-17T13:40:30Z","date_updated":"2022-05-17T13:42:20Z","status":"public","year":"2017","title":"Identifying and Realizing Symmetries in Quantum Walks - Symmetry Classes and Quantum Walks","author":[{"id":"50168","first_name":"Philipp","last_name":"Schütte","full_name":"Schütte, Philipp"}],"user_id":"50168","_id":"31301","language":[{"iso":"eng"}]},{"citation":{"apa":"Faure, F., &#38; Weich, T. (2017). Global Normal Form and Asymptotic Spectral Gap for Open Partially Expanding Maps. <i>Communications in Mathematical Physics</i>, <i>356</i>(3), 755–822. <a href=\"https://doi.org/10.1007/s00220-017-3000-0\">https://doi.org/10.1007/s00220-017-3000-0</a>","ieee":"F. Faure and T. Weich, “Global Normal Form and Asymptotic Spectral Gap for Open Partially Expanding Maps,” <i>Communications in Mathematical Physics</i>, vol. 356, no. 3, pp. 755–822, 2017, doi: <a href=\"https://doi.org/10.1007/s00220-017-3000-0\">10.1007/s00220-017-3000-0</a>.","chicago":"Faure, Frédéric, and Tobias Weich. “Global Normal Form and Asymptotic Spectral Gap for Open Partially Expanding Maps.” <i>Communications in Mathematical Physics</i> 356, no. 3 (2017): 755–822. <a href=\"https://doi.org/10.1007/s00220-017-3000-0\">https://doi.org/10.1007/s00220-017-3000-0</a>.","short":"F. Faure, T. Weich, Communications in Mathematical Physics 356 (2017) 755–822.","mla":"Faure, Frédéric, and Tobias Weich. “Global Normal Form and Asymptotic Spectral Gap for Open Partially Expanding Maps.” <i>Communications in Mathematical Physics</i>, vol. 356, no. 3, Springer Science and Business Media LLC, 2017, pp. 755–822, doi:<a href=\"https://doi.org/10.1007/s00220-017-3000-0\">10.1007/s00220-017-3000-0</a>.","ama":"Faure F, Weich T. Global Normal Form and Asymptotic Spectral Gap for Open Partially Expanding Maps. <i>Communications in Mathematical Physics</i>. 2017;356(3):755-822. doi:<a href=\"https://doi.org/10.1007/s00220-017-3000-0\">10.1007/s00220-017-3000-0</a>","bibtex":"@article{Faure_Weich_2017, title={Global Normal Form and Asymptotic Spectral Gap for Open Partially Expanding Maps}, volume={356}, DOI={<a href=\"https://doi.org/10.1007/s00220-017-3000-0\">10.1007/s00220-017-3000-0</a>}, number={3}, journal={Communications in Mathematical Physics}, publisher={Springer Science and Business Media LLC}, author={Faure, Frédéric and Weich, Tobias}, year={2017}, pages={755–822} }"},"external_id":{"arxiv":["1504.06728"]},"status":"public","user_id":"49178","volume":356,"page":"755-822","publisher":"Springer Science and Business Media LLC","_id":"31268","issue":"3","publication":"Communications in Mathematical Physics","type":"journal_article","keyword":["Mathematical Physics","Statistical and Nonlinear Physics"],"department":[{"_id":"10"},{"_id":"623"},{"_id":"548"}],"date_created":"2022-05-17T12:11:13Z","publication_status":"published","date_updated":"2022-05-19T10:14:36Z","intvolume":"       356","title":"Global Normal Form and Asymptotic Spectral Gap for Open Partially Expanding Maps","year":"2017","author":[{"last_name":"Faure","first_name":"Frédéric","full_name":"Faure, Frédéric"},{"id":"49178","first_name":"Tobias","orcid":"0000-0002-9648-6919","last_name":"Weich","full_name":"Weich, Tobias"}],"publication_identifier":{"issn":["0010-3616","1432-0916"]},"doi":"10.1007/s00220-017-3000-0","language":[{"iso":"eng"}]},{"external_id":{"arxiv":["1503.08431"]},"citation":{"apa":"Harris, B., &#38; Weich, T. (2017). Wave front sets of reductive Lie group representations III. <i>Advances in Mathematics</i>, <i>313</i>, 176–236. <a href=\"https://doi.org/10.1016/j.aim.2017.03.025\">https://doi.org/10.1016/j.aim.2017.03.025</a>","ieee":"B. Harris and T. Weich, “Wave front sets of reductive Lie group representations III,” <i>Advances in Mathematics</i>, vol. 313, pp. 176–236, 2017, doi: <a href=\"https://doi.org/10.1016/j.aim.2017.03.025\">10.1016/j.aim.2017.03.025</a>.","chicago":"Harris, Benjamin, and Tobias Weich. “Wave Front Sets of Reductive Lie Group Representations III.” <i>Advances in Mathematics</i> 313 (2017): 176–236. <a href=\"https://doi.org/10.1016/j.aim.2017.03.025\">https://doi.org/10.1016/j.aim.2017.03.025</a>.","short":"B. Harris, T. Weich, Advances in Mathematics 313 (2017) 176–236.","mla":"Harris, Benjamin, and Tobias Weich. “Wave Front Sets of Reductive Lie Group Representations III.” <i>Advances in Mathematics</i>, vol. 313, Elsevier BV, 2017, pp. 176–236, doi:<a href=\"https://doi.org/10.1016/j.aim.2017.03.025\">10.1016/j.aim.2017.03.025</a>.","ama":"Harris B, Weich T. Wave front sets of reductive Lie group representations III. <i>Advances in Mathematics</i>. 2017;313:176-236. doi:<a href=\"https://doi.org/10.1016/j.aim.2017.03.025\">10.1016/j.aim.2017.03.025</a>","bibtex":"@article{Harris_Weich_2017, title={Wave front sets of reductive Lie group representations III}, volume={313}, DOI={<a href=\"https://doi.org/10.1016/j.aim.2017.03.025\">10.1016/j.aim.2017.03.025</a>}, journal={Advances in Mathematics}, publisher={Elsevier BV}, author={Harris, Benjamin and Weich, Tobias}, year={2017}, pages={176–236} }"},"page":"176-236","_id":"31272","publisher":"Elsevier BV","user_id":"49178","volume":313,"status":"public","date_created":"2022-05-17T12:16:37Z","keyword":["General Mathematics"],"type":"journal_article","department":[{"_id":"10"},{"_id":"623"},{"_id":"548"}],"publication":"Advances in Mathematics","language":[{"iso":"eng"}],"doi":"10.1016/j.aim.2017.03.025","title":"Wave front sets of reductive Lie group representations III","year":"2017","publication_identifier":{"issn":["0001-8708"]},"author":[{"full_name":"Harris, Benjamin","first_name":"Benjamin","last_name":"Harris"},{"first_name":"Tobias","last_name":"Weich","orcid":"0000-0002-9648-6919","full_name":"Weich, Tobias","id":"49178"}],"date_updated":"2022-05-19T10:15:00Z","publication_status":"published","intvolume":"       313"},{"date_created":"2022-05-22T14:30:54Z","department":[{"_id":"97"}],"type":"conference","publication":"Beiträge zum Mathematikunterricht 2017","language":[{"iso":"ger"}],"main_file_link":[{"url":"https://eldorado.tu-dortmund.de/handle/2003/36533","open_access":"1"}],"doi":"10.17877/DE290R-18534","author":[{"id":"32202","full_name":"Hoffmann, Max","last_name":"Hoffmann","first_name":"Max"},{"first_name":"Rolf","last_name":"Biehler","full_name":"Biehler, Rolf"}],"title":"Schnittstellenaufgaben für die Analysis I – Konzept, Beispiele und Evaluationsergebnisse","year":"2017","date_updated":"2022-05-22T14:35:22Z","publication_status":"published","place":"Münster","oa":"1","citation":{"apa":"Hoffmann, M., &#38; Biehler, R. (2017). Schnittstellenaufgaben für die Analysis I – Konzept, Beispiele und Evaluationsergebnisse. In U. Kortenkamp &#38; A. Kuzle (Eds.), <i>Beiträge zum Mathematikunterricht 2017</i> (pp. 441–444). WTM-Verlag. <a href=\"https://doi.org/10.17877/DE290R-18534\">https://doi.org/10.17877/DE290R-18534</a>","ieee":"M. Hoffmann and R. Biehler, “Schnittstellenaufgaben für die Analysis I – Konzept, Beispiele und Evaluationsergebnisse,” in <i>Beiträge zum Mathematikunterricht 2017</i>, 2017, pp. 441–444, doi: <a href=\"https://doi.org/10.17877/DE290R-18534\">10.17877/DE290R-18534</a>.","chicago":"Hoffmann, Max, and Rolf Biehler. “Schnittstellenaufgaben für die Analysis I – Konzept, Beispiele und Evaluationsergebnisse.” In <i>Beiträge zum Mathematikunterricht 2017</i>, edited by Ulrich Kortenkamp and Ana Kuzle, 441–44. Münster: WTM-Verlag, 2017. <a href=\"https://doi.org/10.17877/DE290R-18534\">https://doi.org/10.17877/DE290R-18534</a>.","short":"M. Hoffmann, R. Biehler, in: U. Kortenkamp, A. Kuzle (Eds.), Beiträge zum Mathematikunterricht 2017, WTM-Verlag, Münster, 2017, pp. 441–444.","mla":"Hoffmann, Max, and Rolf Biehler. “Schnittstellenaufgaben für die Analysis I – Konzept, Beispiele und Evaluationsergebnisse.” <i>Beiträge zum Mathematikunterricht 2017</i>, edited by Ulrich Kortenkamp and Ana Kuzle, WTM-Verlag, 2017, pp. 441–44, doi:<a href=\"https://doi.org/10.17877/DE290R-18534\">10.17877/DE290R-18534</a>.","ama":"Hoffmann M, Biehler R. Schnittstellenaufgaben für die Analysis I – Konzept, Beispiele und Evaluationsergebnisse. In: Kortenkamp U, Kuzle A, eds. <i>Beiträge zum Mathematikunterricht 2017</i>. WTM-Verlag; 2017:441-444. doi:<a href=\"https://doi.org/10.17877/DE290R-18534\">10.17877/DE290R-18534</a>","bibtex":"@inproceedings{Hoffmann_Biehler_2017, place={Münster}, title={Schnittstellenaufgaben für die Analysis I – Konzept, Beispiele und Evaluationsergebnisse}, DOI={<a href=\"https://doi.org/10.17877/DE290R-18534\">10.17877/DE290R-18534</a>}, booktitle={Beiträge zum Mathematikunterricht 2017}, publisher={WTM-Verlag}, author={Hoffmann, Max and Biehler, Rolf}, editor={Kortenkamp, Ulrich and Kuzle, Ana}, year={2017}, pages={441–444} }"},"_id":"31370","publisher":"WTM-Verlag","page":"441-444","editor":[{"last_name":"Kortenkamp","first_name":"Ulrich","full_name":"Kortenkamp, Ulrich"},{"first_name":"Ana","last_name":"Kuzle","full_name":"Kuzle, Ana"}],"user_id":"32202","status":"public"},{"citation":{"ama":"Häsel-Weide U, Nührenbörger M. Grundzüge des inklusiven Mathematikunterrichts. Mit allen Kindern rechnen. In: Häsel-Weide U, Nührenbörger M, eds. <i>Gemeinsam Mathematik lernen - mit allen Kindern rechnen.</i> Grundschulverband e. V.; 2017:8-21.","bibtex":"@inbook{Häsel-Weide_Nührenbörger_2017, place={Frankfurt a. Main}, title={Grundzüge des inklusiven Mathematikunterrichts. Mit allen Kindern rechnen.}, booktitle={Gemeinsam Mathematik lernen - mit allen Kindern rechnen.}, publisher={Grundschulverband e. V.}, author={Häsel-Weide, Uta and Nührenbörger, M.}, editor={Häsel-Weide, Uta and Nührenbörger, M.}, year={2017}, pages={8–21} }","mla":"Häsel-Weide, Uta, and M. Nührenbörger. “Grundzüge des inklusiven Mathematikunterrichts. Mit allen Kindern rechnen.” <i>Gemeinsam Mathematik lernen - mit allen Kindern rechnen.</i>, edited by Uta Häsel-Weide and M. Nührenbörger, Grundschulverband e. V., 2017, pp. 8–21.","short":"U. Häsel-Weide, M. Nührenbörger, in: U. Häsel-Weide, M. Nührenbörger (Eds.), Gemeinsam Mathematik lernen - mit allen Kindern rechnen., Grundschulverband e. V., Frankfurt a. Main, 2017, pp. 8–21.","chicago":"Häsel-Weide, Uta, and M. Nührenbörger. “Grundzüge des inklusiven Mathematikunterrichts. Mit allen Kindern rechnen.” In <i>Gemeinsam Mathematik lernen - mit allen Kindern rechnen.</i>, edited by Uta Häsel-Weide and M. Nührenbörger, 8–21. Frankfurt a. Main: Grundschulverband e. V., 2017.","apa":"Häsel-Weide, U., &#38; Nührenbörger, M. (2017). Grundzüge des inklusiven Mathematikunterrichts. Mit allen Kindern rechnen. In U. Häsel-Weide &#38; M. Nührenbörger (Eds.), <i>Gemeinsam Mathematik lernen - mit allen Kindern rechnen.</i> (pp. 8–21). Grundschulverband e. V.","ieee":"U. Häsel-Weide and M. Nührenbörger, “Grundzüge des inklusiven Mathematikunterrichts. Mit allen Kindern rechnen.,” in <i>Gemeinsam Mathematik lernen - mit allen Kindern rechnen.</i>, U. Häsel-Weide and M. Nührenbörger, Eds. Frankfurt a. Main: Grundschulverband e. V., 2017, pp. 8–21."},"publication":"Gemeinsam Mathematik lernen - mit allen Kindern rechnen.","place":"Frankfurt a. Main","date_created":"2022-06-13T09:10:49Z","department":[{"_id":"98"},{"_id":"543"}],"type":"book_chapter","author":[{"id":"60267","full_name":"Häsel-Weide, Uta","first_name":"Uta","last_name":"Häsel-Weide"},{"full_name":"Nührenbörger, M.","last_name":"Nührenbörger","first_name":"M."}],"title":"Grundzüge des inklusiven Mathematikunterrichts. Mit allen Kindern rechnen.","year":"2017","status":"public","date_updated":"2022-09-06T06:32:04Z","publication_status":"published","publisher":"Grundschulverband e. V.","_id":"31857","language":[{"iso":"ger"}],"page":"8-21","editor":[{"full_name":"Häsel-Weide, Uta","first_name":"Uta","last_name":"Häsel-Weide"},{"full_name":"Nührenbörger, M.","first_name":"M.","last_name":"Nührenbörger"}],"user_id":"85821"},{"volume":108,"doi":"https://link.springer.com/article/10.1007/s11005-017-0999-y","user_id":"85821","_id":"33336","language":[{"iso":"eng"}],"page":"185–193","intvolume":"       108","date_updated":"2022-09-12T08:08:09Z","publication_status":"published","author":[{"full_name":"Boßmann, Lea","first_name":"Lea","last_name":"Boßmann"},{"full_name":"Grummt, Robert","first_name":"Robert","last_name":"Grummt"},{"last_name":"Kolb","first_name":"Martin","full_name":"Kolb, Martin","id":"48880"}],"title":"On the dipole approximation with error estimates","status":"public","year":"2017","department":[{"_id":"96"}],"type":"journal_article","date_created":"2022-09-12T08:08:05Z","abstract":[{"lang":"eng","text":"The dipole approximation is employed to describe interactions between atoms and radiation. It essentially consists of neglecting the spatial variation of the external field over the atom. Heuristically, this is justified by arguing that the wavelength is considerably larger than the atomic length scale, which holds under usual experimental conditions. We prove the dipole approximation in the limit of infinite wavelengths compared to the atomic length scale and estimate the rate of convergence. Our results include N-body Coulomb potentials and experimentally relevant electromagnetic fields such as plane waves and laser pulses."}],"citation":{"mla":"Boßmann, Lea, et al. “On the Dipole Approximation with Error Estimates.” <i>Letters in Mathematical Physics</i>, vol. 108, 2017, pp. 185–193, doi:<a href=\"https://link.springer.com/article/10.1007/s11005-017-0999-y\">https://link.springer.com/article/10.1007/s11005-017-0999-y</a>.","bibtex":"@article{Boßmann_Grummt_Kolb_2017, title={On the dipole approximation with error estimates}, volume={108}, DOI={<a href=\"https://link.springer.com/article/10.1007/s11005-017-0999-y\">https://link.springer.com/article/10.1007/s11005-017-0999-y</a>}, journal={Letters in Mathematical Physics}, author={Boßmann, Lea and Grummt, Robert and Kolb, Martin}, year={2017}, pages={185–193} }","ama":"Boßmann L, Grummt R, Kolb M. On the dipole approximation with error estimates. <i>Letters in Mathematical Physics</i>. 2017;108:185–193. doi:<a href=\"https://link.springer.com/article/10.1007/s11005-017-0999-y\">https://link.springer.com/article/10.1007/s11005-017-0999-y</a>","ieee":"L. Boßmann, R. Grummt, and M. Kolb, “On the dipole approximation with error estimates,” <i>Letters in Mathematical Physics</i>, vol. 108, pp. 185–193, 2017, doi: <a href=\"https://link.springer.com/article/10.1007/s11005-017-0999-y\">https://link.springer.com/article/10.1007/s11005-017-0999-y</a>.","apa":"Boßmann, L., Grummt, R., &#38; Kolb, M. (2017). On the dipole approximation with error estimates. <i>Letters in Mathematical Physics</i>, <i>108</i>, 185–193. <a href=\"https://link.springer.com/article/10.1007/s11005-017-0999-y\">https://link.springer.com/article/10.1007/s11005-017-0999-y</a>","chicago":"Boßmann, Lea, Robert Grummt, and Martin Kolb. “On the Dipole Approximation with Error Estimates.” <i>Letters in Mathematical Physics</i> 108 (2017): 185–193. <a href=\"https://link.springer.com/article/10.1007/s11005-017-0999-y\">https://link.springer.com/article/10.1007/s11005-017-0999-y</a>.","short":"L. Boßmann, R. Grummt, M. Kolb, Letters in Mathematical Physics 108 (2017) 185–193."},"publication":"Letters in Mathematical Physics"}]