--- _id: '31856' citation: ama: Häsel-Weide U, Nührenbörger M, eds. Gemeinsam Mathematik lernen. Mit allen Kindern rechnen. Grundschulverband e. V.; 2017. apa: Häsel-Weide, U., & Nührenbörger, M. (Eds.). (2017). Gemeinsam Mathematik lernen. Mit allen Kindern rechnen. Grundschulverband e. V. bibtex: '@book{Häsel-Weide_Nührenbörger_2017, place={Frankfurt a. Main}, title={Gemeinsam Mathematik lernen. Mit allen Kindern rechnen.}, publisher={Grundschulverband e. V.}, year={2017} }' chicago: 'Häsel-Weide, Uta, and M. Nührenbörger, eds. Gemeinsam Mathematik lernen. Mit allen Kindern rechnen. Frankfurt a. Main: Grundschulverband e. V., 2017.' ieee: 'U. Häsel-Weide and M. Nührenbörger, Eds., Gemeinsam Mathematik lernen. Mit allen Kindern rechnen. Frankfurt a. Main: Grundschulverband e. V., 2017.' mla: Häsel-Weide, Uta, and M. Nührenbörger, editors. Gemeinsam Mathematik lernen. Mit allen Kindern rechnen. Grundschulverband e. V., 2017. short: U. Häsel-Weide, M. Nührenbörger, eds., Gemeinsam Mathematik lernen. Mit allen Kindern rechnen., Grundschulverband e. V., Frankfurt a. Main, 2017. date_created: 2022-06-13T09:08:09Z date_updated: 2022-06-13T09:08:13Z department: - _id: '98' - _id: '543' editor: - first_name: Uta full_name: Häsel-Weide, Uta id: '60267' last_name: Häsel-Weide - first_name: M. full_name: Nührenbörger, M. last_name: Nührenbörger language: - iso: ger page: '297' place: Frankfurt a. Main publication_identifier: isbn: - 978-3-941649-22-4 publication_status: published publisher: Grundschulverband e. V. related_material: link: - relation: table_of_contents url: https://grundschulverband.de/wp-content/uploads/2017/10/GSV-Band-144_Inhaltsverzeichnis.pdf status: public title: Gemeinsam Mathematik lernen. Mit allen Kindern rechnen. type: book_editor user_id: '85821' year: '2017' ... --- _id: '31852' author: - first_name: Uta full_name: Häsel-Weide, Uta id: '60267' last_name: Häsel-Weide - first_name: T. full_name: Breucker, T. last_name: Breucker - first_name: Marcus full_name: Nührenbörger, Marcus last_name: Nührenbörger citation: ama: Häsel-Weide U, Breucker T, Nührenbörger M. Förderheft zum Zahlenbuch 1. Klett; 2017. apa: Häsel-Weide, U., Breucker, T., & Nührenbörger, M. (2017). Förderheft zum Zahlenbuch 1. Klett. bibtex: '@book{Häsel-Weide_Breucker_Nührenbörger_2017, place={Leipzig}, title={Förderheft zum Zahlenbuch 1}, publisher={Klett}, author={Häsel-Weide, Uta and Breucker, T. and Nührenbörger, Marcus}, year={2017} }' chicago: 'Häsel-Weide, Uta, T. Breucker, and Marcus Nührenbörger. Förderheft zum Zahlenbuch 1. Leipzig: Klett, 2017.' ieee: 'U. Häsel-Weide, T. Breucker, and M. Nührenbörger, Förderheft zum Zahlenbuch 1. Leipzig: Klett, 2017.' mla: Häsel-Weide, Uta, et al. Förderheft zum Zahlenbuch 1. Klett, 2017. short: U. Häsel-Weide, T. Breucker, M. Nührenbörger, Förderheft zum Zahlenbuch 1, Klett, Leipzig, 2017. date_created: 2022-06-13T09:00:26Z date_updated: 2022-06-13T09:00:39Z department: - _id: '98' - _id: '543' language: - iso: ger place: Leipzig publication_status: published publisher: Klett status: public title: Förderheft zum Zahlenbuch 1 type: misc user_id: '85821' year: '2017' ... --- _id: '31853' 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. Förderkommentar Lernen zum Zahlenbuch 1. Klett; 2017. apa: Häsel-Weide, U., & Nührenbörger, M. (2017). Förderkommentar Lernen zum Zahlenbuch 1. Klett. bibtex: '@book{Häsel-Weide_Nührenbörger_2017, place={Leipzig}, title={Förderkommentar Lernen zum Zahlenbuch 1}, publisher={Klett}, author={Häsel-Weide, Uta and Nührenbörger, M.}, year={2017} }' chicago: 'Häsel-Weide, Uta, and M. Nührenbörger. Förderkommentar Lernen zum Zahlenbuch 1. Leipzig: Klett, 2017.' ieee: 'U. Häsel-Weide and M. Nührenbörger, Förderkommentar Lernen zum Zahlenbuch 1. Leipzig: Klett, 2017.' mla: Häsel-Weide, Uta, and M. Nührenbörger. Förderkommentar Lernen zum Zahlenbuch 1. Klett, 2017. short: U. Häsel-Weide, M. Nührenbörger, Förderkommentar Lernen zum Zahlenbuch 1, Klett, Leipzig, 2017. date_created: 2022-06-13T09:02:37Z date_updated: 2022-06-13T09:02:44Z department: - _id: '98' - _id: '543' language: - iso: ger place: Leipzig publication_status: published publisher: Klett status: public title: Förderkommentar Lernen zum Zahlenbuch 1 type: misc user_id: '85821' year: '2017' ... --- _id: '31854' author: - first_name: Uta full_name: Häsel-Weide, Uta id: '60267' last_name: Häsel-Weide citation: ama: Häsel-Weide U. Das Zahlenbuch. Förderkommentar Lernen zum 2. Schuljahr. Klett; 2017. apa: Häsel-Weide, U. (2017). Das Zahlenbuch. Förderkommentar Lernen zum 2. Schuljahr. Klett. bibtex: '@book{Häsel-Weide_2017, place={Leipzig}, title={Das Zahlenbuch. Förderkommentar Lernen zum 2. Schuljahr}, publisher={Klett}, author={Häsel-Weide, Uta}, year={2017} }' chicago: 'Häsel-Weide, Uta. Das Zahlenbuch. Förderkommentar Lernen zum 2. Schuljahr. Leipzig: Klett, 2017.' ieee: 'U. Häsel-Weide, Das Zahlenbuch. Förderkommentar Lernen zum 2. Schuljahr. Leipzig: Klett, 2017.' mla: Häsel-Weide, Uta. Das Zahlenbuch. Förderkommentar Lernen zum 2. Schuljahr. Klett, 2017. short: U. Häsel-Weide, Das Zahlenbuch. Förderkommentar Lernen zum 2. Schuljahr, Klett, Leipzig, 2017. date_created: 2022-06-13T09:04:02Z date_updated: 2022-06-13T09:04:09Z department: - _id: '98' - _id: '543' language: - iso: ger place: Leipzig publication_status: published publisher: Klett status: public title: Das Zahlenbuch. Förderkommentar Lernen zum 2. Schuljahr type: misc user_id: '85821' year: '2017' ... --- _id: '31855' 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. Das Zahlenbuch 2. Förderheft. Klett; 2017. apa: Häsel-Weide, U., & Nührenbörger, M. (2017). Das Zahlenbuch 2. Förderheft. Klett. bibtex: '@book{Häsel-Weide_Nührenbörger_2017, place={Leipzig}, title={Das Zahlenbuch 2. Förderheft.}, publisher={Klett}, author={Häsel-Weide, Uta and Nührenbörger, M.}, year={2017} }' chicago: 'Häsel-Weide, Uta, and M. Nührenbörger. Das Zahlenbuch 2. Förderheft. Leipzig: Klett, 2017.' ieee: 'U. Häsel-Weide and M. Nührenbörger, Das Zahlenbuch 2. Förderheft. Leipzig: Klett, 2017.' mla: Häsel-Weide, Uta, and M. Nührenbörger. Das Zahlenbuch 2. Förderheft. Klett, 2017. short: U. Häsel-Weide, M. Nührenbörger, Das Zahlenbuch 2. Förderheft., Klett, Leipzig, 2017. date_created: 2022-06-13T09:05:13Z date_updated: 2022-06-13T09:05:19Z department: - _id: '98' - _id: '543' language: - iso: ger place: Leipzig publication_status: published publisher: Klett status: public title: Das Zahlenbuch 2. Förderheft. type: misc user_id: '85821' year: '2017' ... --- _id: '31861' 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. Produktives Fördern im inklusiven Mathematikunterricht - Möglichkeiten einer mathematisch ausgerichteten Diagnose und individuellen Förderung. In: Helmich F, Blumberg E, eds. Inklusiver Unterricht in der Grundschule. 1st ed. Kohlhammer; 2017:213-228.' apa: Häsel-Weide, U., & Nührenbörger, M. (2017). Produktives Fördern im inklusiven Mathematikunterricht - Möglichkeiten einer mathematisch ausgerichteten Diagnose und individuellen Förderung. In F. Helmich & E. Blumberg (Eds.), Inklusiver Unterricht in der Grundschule (1st ed., pp. 213–228). Kohlhammer. bibtex: '@inbook{Häsel-Weide_Nührenbörger_2017, place={Stuttgart}, edition={1}, title={Produktives Fördern im inklusiven Mathematikunterricht - Möglichkeiten einer mathematisch ausgerichteten Diagnose und individuellen Förderung.}, booktitle={Inklusiver Unterricht in der Grundschule}, publisher={Kohlhammer}, author={Häsel-Weide, Uta and Nührenbörger, M.}, editor={Helmich, F. and Blumberg, E.}, year={2017}, pages={213–228} }' chicago: 'Häsel-Weide, Uta, and M. Nührenbörger. “Produktives Fördern im inklusiven Mathematikunterricht - Möglichkeiten einer mathematisch ausgerichteten Diagnose und individuellen Förderung.” In Inklusiver Unterricht in der Grundschule, edited by F. Helmich and E. Blumberg, 1st ed., 213–28. Stuttgart: Kohlhammer, 2017.' ieee: 'U. Häsel-Weide and M. Nührenbörger, “Produktives Fördern im inklusiven Mathematikunterricht - Möglichkeiten einer mathematisch ausgerichteten Diagnose und individuellen Förderung.,” in Inklusiver Unterricht in der Grundschule, 1st ed., F. Helmich and E. Blumberg, Eds. Stuttgart: Kohlhammer, 2017, pp. 213–228.' mla: Häsel-Weide, Uta, and M. Nührenbörger. “Produktives Fördern im inklusiven Mathematikunterricht - Möglichkeiten einer mathematisch ausgerichteten Diagnose und individuellen Förderung.” Inklusiver Unterricht in der Grundschule, edited by F. Helmich and E. Blumberg, 1st ed., Kohlhammer, 2017, pp. 213–28. short: 'U. Häsel-Weide, M. Nührenbörger, in: F. Helmich, E. Blumberg (Eds.), Inklusiver Unterricht in der Grundschule, 1st ed., Kohlhammer, Stuttgart, 2017, pp. 213–228.' date_created: 2022-06-13T09:20:40Z date_updated: 2022-06-13T09:20:44Z department: - _id: '98' - _id: '543' edition: '1' editor: - first_name: F. full_name: Helmich, F. last_name: Helmich - first_name: E. full_name: Blumberg, E. last_name: Blumberg language: - iso: ger page: 213-228 place: Stuttgart publication: Inklusiver Unterricht in der Grundschule publication_identifier: unknown: - 978-3170259997 publication_status: published publisher: Kohlhammer status: public title: Produktives Fördern im inklusiven Mathematikunterricht - Möglichkeiten einer mathematisch ausgerichteten Diagnose und individuellen Förderung. type: book_chapter user_id: '85821' year: '2017' ... --- _id: '31862' author: - first_name: Uta full_name: Häsel-Weide, Uta id: '60267' last_name: Häsel-Weide - first_name: S. full_name: Prediger, S. last_name: Prediger citation: ama: 'Häsel-Weide U, Prediger S. Förderung und Diagnose im Mathematikunterricht - Begriffe, Planungsfragen und Ansätze. In: Abshagen M, Barzel B, Kramer J, Riecke-Baulecke T, Rösken-Winter B, Selter C, eds. Basiswissen Lehrerbildung: Mathematik unterrichten. 1st ed. Klett Kallmeyer; 2017:167-181.' apa: 'Häsel-Weide, U., & Prediger, S. (2017). Förderung und Diagnose im Mathematikunterricht - Begriffe, Planungsfragen und Ansätze. In M. Abshagen, B. Barzel, J. Kramer, T. Riecke-Baulecke, B. Rösken-Winter, & C. Selter (Eds.), Basiswissen Lehrerbildung: Mathematik unterrichten (1st ed., pp. 167–181). Klett Kallmeyer.' bibtex: '@inbook{Häsel-Weide_Prediger_2017, place={Seelze}, edition={1}, title={Förderung und Diagnose im Mathematikunterricht - Begriffe, Planungsfragen und Ansätze.}, booktitle={Basiswissen Lehrerbildung: Mathematik unterrichten}, publisher={Klett Kallmeyer}, author={Häsel-Weide, Uta and Prediger, S.}, editor={Abshagen, M. and Barzel, B. and Kramer, J. and Riecke-Baulecke, T. and Rösken-Winter, B. and Selter, C.}, year={2017}, pages={167–181} }' chicago: 'Häsel-Weide, Uta, and S. Prediger. “Förderung und Diagnose im Mathematikunterricht - Begriffe, Planungsfragen und Ansätze.” In Basiswissen Lehrerbildung: Mathematik unterrichten, edited by M. Abshagen, B. Barzel, J. Kramer, T. Riecke-Baulecke, B. Rösken-Winter, and C. Selter, 1st ed., 167–81. Seelze: Klett Kallmeyer, 2017.' ieee: 'U. Häsel-Weide and S. Prediger, “Förderung und Diagnose im Mathematikunterricht - Begriffe, Planungsfragen und Ansätze.,” in Basiswissen Lehrerbildung: Mathematik unterrichten, 1st ed., M. Abshagen, B. Barzel, J. Kramer, T. Riecke-Baulecke, B. Rösken-Winter, and C. Selter, Eds. Seelze: Klett Kallmeyer, 2017, pp. 167–181.' mla: 'Häsel-Weide, Uta, and S. Prediger. “Förderung und Diagnose im Mathematikunterricht - Begriffe, Planungsfragen und Ansätze.” Basiswissen Lehrerbildung: Mathematik unterrichten, edited by M. Abshagen et al., 1st ed., Klett Kallmeyer, 2017, pp. 167–81.' short: 'U. Häsel-Weide, S. Prediger, in: M. Abshagen, B. Barzel, J. Kramer, T. Riecke-Baulecke, B. Rösken-Winter, C. Selter (Eds.), Basiswissen Lehrerbildung: Mathematik unterrichten, 1st ed., Klett Kallmeyer, Seelze, 2017, pp. 167–181.' date_created: 2022-06-13T09:27:16Z date_updated: 2022-06-13T09:27:19Z department: - _id: '98' - _id: '543' edition: '1' editor: - first_name: M. full_name: Abshagen, M. last_name: Abshagen - first_name: B. full_name: Barzel, B. last_name: Barzel - first_name: J. full_name: Kramer, J. last_name: Kramer - first_name: T. full_name: Riecke-Baulecke, T. last_name: Riecke-Baulecke - first_name: B. full_name: Rösken-Winter, B. last_name: Rösken-Winter - first_name: C. full_name: Selter, C. last_name: Selter language: - iso: ger page: 167-181 place: Seelze publication: 'Basiswissen Lehrerbildung: Mathematik unterrichten' publication_identifier: unknown: - 978-3772710841 publication_status: published publisher: Klett Kallmeyer status: public title: Förderung und Diagnose im Mathematikunterricht - Begriffe, Planungsfragen und Ansätze. type: book_chapter user_id: '85821' year: '2017' ... --- _id: '31863' author: - first_name: Uta full_name: Häsel-Weide, Uta id: '60267' last_name: Häsel-Weide - first_name: C. full_name: Schöttler, C. last_name: Schöttler citation: ama: 'Häsel-Weide U, Schöttler C. Students constructing meaning for the decimal system in dyadic discussions: epistemological and interactionist analyses of negotiation processes in an inclusive setting. In: Novotná J, Moraová H, Charles University, eds. Proceedings of the International Symposium Elementary Maths Teaching.  Equity and Diversity in Elementary Mathematics Education. ; 2017:373-383.' apa: 'Häsel-Weide, U., & Schöttler, C. (2017). Students constructing meaning for the decimal system in dyadic discussions: epistemological and interactionist analyses of negotiation processes in an inclusive setting. In J. Novotná, H. Moraová, & Charles University (Eds.), Proceedings of the International Symposium Elementary Maths Teaching.  Equity and diversity in elementary mathematics education (pp. 373–383).' bibtex: '@inproceedings{Häsel-Weide_Schöttler_2017, place={Prag}, title={Students constructing meaning for the decimal system in dyadic discussions: epistemological and interactionist analyses of negotiation processes in an inclusive setting.}, booktitle={Proceedings of the International Symposium Elementary Maths Teaching.  Equity and diversity in elementary mathematics education}, author={Häsel-Weide, Uta and Schöttler, C.}, editor={Novotná, J. and Moraová, H. and Charles University}, year={2017}, pages={373–383} }' chicago: 'Häsel-Weide, Uta, and C. Schöttler. “Students Constructing Meaning for the Decimal System in Dyadic Discussions: Epistemological and Interactionist Analyses of Negotiation Processes in an Inclusive Setting.” In Proceedings of the International Symposium Elementary Maths Teaching.  Equity and Diversity in Elementary Mathematics Education, edited by J. Novotná, H. Moraová, and Charles University, 373–83. Prag, 2017.' ieee: 'U. Häsel-Weide and C. Schöttler, “Students constructing meaning for the decimal system in dyadic discussions: epistemological and interactionist analyses of negotiation processes in an inclusive setting.,” in Proceedings of the International Symposium Elementary Maths Teaching.  Equity and diversity in elementary mathematics education, 2017, pp. 373–383.' mla: 'Häsel-Weide, Uta, and C. Schöttler. “Students Constructing Meaning for the Decimal System in Dyadic Discussions: Epistemological and Interactionist Analyses of Negotiation Processes in an Inclusive Setting.” Proceedings of the International Symposium Elementary Maths Teaching.  Equity and Diversity in Elementary Mathematics Education, edited by J. Novotná et al., 2017, pp. 373–83.' short: 'U. Häsel-Weide, C. Schöttler, in: J. Novotná, H. Moraová, Charles University (Eds.), Proceedings of the International Symposium Elementary Maths Teaching.  Equity and Diversity in Elementary Mathematics Education, Prag, 2017, pp. 373–383.' corporate_editor: - Charles University date_created: 2022-06-13T09:30:39Z date_updated: 2022-06-13T09:30:44Z department: - _id: '98' - _id: '543' editor: - first_name: J. full_name: Novotná, J. last_name: Novotná - first_name: H. full_name: Moraová, H. last_name: Moraová language: - iso: eng page: 373-383 place: Prag publication: Proceedings of the International Symposium Elementary Maths Teaching. Equity and diversity in elementary mathematics education publication_status: published status: public title: 'Students constructing meaning for the decimal system in dyadic discussions: epistemological and interactionist analyses of negotiation processes in an inclusive setting.' type: conference user_id: '85821' year: '2017' ... --- _id: '31860' author: - first_name: Uta full_name: Häsel-Weide, Uta id: '60267' last_name: Häsel-Weide - first_name: A. M. full_name: Hintz, A. M. last_name: Hintz citation: ama: 'Häsel-Weide U, Hintz AM. Soziale Begegnungen beim (kooperativen) Lernen im Mathematikunterricht. In: Häsel-Weide U, Nührenbörger M, eds. Gemeinsam Mathematik lernen. Mit allen Kindern rechnen. Grundschulverband e. V.; 2017:78-87.' apa: Häsel-Weide, U., & Hintz, A. M. (2017). Soziale Begegnungen beim (kooperativen) Lernen im Mathematikunterricht. In U. Häsel-Weide & M. Nührenbörger (Eds.), Gemeinsam Mathematik lernen. Mit allen Kindern rechnen. (pp. 78–87). Grundschulverband e. V. bibtex: '@inbook{Häsel-Weide_Hintz_2017, place={Frankfurt a. Main}, title={Soziale Begegnungen beim (kooperativen) Lernen im Mathematikunterricht.}, booktitle={Gemeinsam Mathematik lernen. Mit allen Kindern rechnen.}, publisher={Grundschulverband e. V.}, author={Häsel-Weide, Uta and Hintz, A. M.}, editor={Häsel-Weide, Uta and Nührenbörger, M.}, year={2017}, pages={78–87} }' chicago: 'Häsel-Weide, Uta, and A. M. Hintz. “Soziale Begegnungen beim (kooperativen) Lernen im Mathematikunterricht.” In Gemeinsam Mathematik lernen. Mit allen Kindern rechnen., edited by Uta Häsel-Weide and M. Nührenbörger, 78–87. Frankfurt a. Main: Grundschulverband e. V., 2017.' ieee: 'U. Häsel-Weide and A. M. Hintz, “Soziale Begegnungen beim (kooperativen) Lernen im Mathematikunterricht.,” in Gemeinsam Mathematik lernen. Mit allen Kindern rechnen., U. Häsel-Weide and M. Nührenbörger, Eds. Frankfurt a. Main: Grundschulverband e. V., 2017, pp. 78–87.' mla: Häsel-Weide, Uta, and A. M. Hintz. “Soziale Begegnungen beim (kooperativen) Lernen im Mathematikunterricht.” Gemeinsam Mathematik lernen. Mit allen Kindern rechnen., edited by Uta Häsel-Weide and M. Nührenbörger, Grundschulverband e. V., 2017, pp. 78–87. short: 'U. Häsel-Weide, A.M. Hintz, in: U. Häsel-Weide, M. Nührenbörger (Eds.), Gemeinsam Mathematik lernen. Mit allen Kindern rechnen., Grundschulverband e. V., Frankfurt a. Main, 2017, pp. 78–87.' date_created: 2022-06-13T09:17:36Z date_updated: 2022-06-13T09:17:39Z department: - _id: '98' - _id: '543' editor: - first_name: Uta full_name: Häsel-Weide, Uta last_name: Häsel-Weide - first_name: M. full_name: Nührenbörger, M. last_name: Nührenbörger language: - iso: ger page: 78-87 place: Frankfurt a. Main publication: Gemeinsam Mathematik lernen. Mit allen Kindern rechnen. publication_status: published publisher: Grundschulverband e. V. status: public title: Soziale Begegnungen beim (kooperativen) Lernen im Mathematikunterricht. type: book_chapter user_id: '85821' year: '2017' ... --- _id: '31858' 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: E. full_name: Moser Opitz, E. last_name: Moser Opitz - first_name: C. full_name: Wittich, C. last_name: Wittich citation: ama: Häsel-Weide U, Nührenbörger M, Moser Opitz E, Wittich C. Ablösung vom zählenden Rechnen. Fördereinheiten für heterogene Lerngruppen. 4th ed. Klett Kallmeyer; 2017. apa: Häsel-Weide, U., Nührenbörger, M., Moser Opitz, E., & Wittich, C. (2017). Ablösung vom zählenden Rechnen. Fördereinheiten für heterogene Lerngruppen (4th ed.). Klett Kallmeyer. bibtex: '@book{Häsel-Weide_Nührenbörger_Moser Opitz_Wittich_2017, place={Seelze}, edition={4}, title={Ablösung vom zählenden Rechnen. Fördereinheiten für heterogene Lerngruppen}, publisher={Klett Kallmeyer}, author={Häsel-Weide, Uta and Nührenbörger, M. and Moser Opitz, E. and Wittich, C.}, year={2017} }' chicago: 'Häsel-Weide, Uta, M. Nührenbörger, E. Moser Opitz, and C. Wittich. Ablösung vom zählenden Rechnen. Fördereinheiten für heterogene Lerngruppen. 4th ed. Seelze: Klett Kallmeyer, 2017.' ieee: 'U. Häsel-Weide, M. Nührenbörger, E. Moser Opitz, and C. Wittich, Ablösung vom zählenden Rechnen. Fördereinheiten für heterogene Lerngruppen, 4th ed. Seelze: Klett Kallmeyer, 2017.' mla: Häsel-Weide, Uta, et al. Ablösung vom zählenden Rechnen. Fördereinheiten für heterogene Lerngruppen. 4th ed., Klett Kallmeyer, 2017. short: U. Häsel-Weide, M. Nührenbörger, E. Moser Opitz, C. Wittich, Ablösung vom zählenden Rechnen. Fördereinheiten für heterogene Lerngruppen, 4th ed., Klett Kallmeyer, Seelze, 2017. date_created: 2022-06-13T09:14:50Z date_updated: 2022-06-13T09:14:54Z department: - _id: '98' - _id: '543' edition: '4' language: - iso: ger page: '180' place: Seelze publication_identifier: unknown: - 978-3780049667 publication_status: published publisher: Klett Kallmeyer status: public title: Ablösung vom zählenden Rechnen. Fördereinheiten für heterogene Lerngruppen type: book user_id: '85821' year: '2017' ... --- _id: '34663' author: - first_name: Tobias full_name: Black, Tobias id: '23686' last_name: Black orcid: 0000-0001-9963-0800 citation: ama: Black T. Global existence and asymptotic stability in a competitive two-species chemotaxis system with two signals. Discrete & Continuous Dynamical Systems - B. 2017;22(4):1253-1272. doi:10.3934/dcdsb.2017061 apa: Black, T. (2017). Global existence and asymptotic stability in a competitive two-species chemotaxis system with two signals. Discrete & Continuous Dynamical Systems - B, 22(4), 1253–1272. https://doi.org/10.3934/dcdsb.2017061 bibtex: '@article{Black_2017, title={Global existence and asymptotic stability in a competitive two-species chemotaxis system with two signals}, volume={22}, DOI={10.3934/dcdsb.2017061}, number={4}, journal={Discrete & Continuous Dynamical Systems - B}, publisher={American Institute of Mathematical Sciences (AIMS)}, author={Black, Tobias}, year={2017}, pages={1253–1272} }' chicago: 'Black, Tobias. “Global Existence and Asymptotic Stability in a Competitive Two-Species Chemotaxis System with Two Signals.” Discrete & Continuous Dynamical Systems - B 22, no. 4 (2017): 1253–72. https://doi.org/10.3934/dcdsb.2017061.' ieee: 'T. Black, “Global existence and asymptotic stability in a competitive two-species chemotaxis system with two signals,” Discrete & Continuous Dynamical Systems - B, vol. 22, no. 4, pp. 1253–1272, 2017, doi: 10.3934/dcdsb.2017061.' mla: Black, Tobias. “Global Existence and Asymptotic Stability in a Competitive Two-Species Chemotaxis System with Two Signals.” Discrete & Continuous Dynamical Systems - B, vol. 22, no. 4, American Institute of Mathematical Sciences (AIMS), 2017, pp. 1253–72, doi:10.3934/dcdsb.2017061. short: T. Black, Discrete & Continuous Dynamical Systems - B 22 (2017) 1253–1272. date_created: 2022-12-21T09:46:50Z date_updated: 2022-12-21T10:05:19Z department: - _id: '34' - _id: '10' - _id: '90' doi: 10.3934/dcdsb.2017061 intvolume: ' 22' issue: '4' keyword: - Applied Mathematics - Discrete Mathematics and Combinatorics language: - iso: eng page: 1253-1272 publication: Discrete & Continuous Dynamical Systems - B publication_identifier: issn: - 1553-524X publication_status: published publisher: American Institute of Mathematical Sciences (AIMS) status: public title: Global existence and asymptotic stability in a competitive two-species chemotaxis system with two signals type: journal_article user_id: '23686' volume: 22 year: '2017' ... --- _id: '34665' 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. Singular sensitivity in a Keller–Segel-fluid system. Journal of Evolution Equations. 2017;18(2):561-581. doi:10.1007/s00028-017-0411-5 apa: Black, T., Lankeit, J., & Mizukami, M. (2017). Singular sensitivity in a Keller–Segel-fluid system. Journal of Evolution Equations, 18(2), 561–581. https://doi.org/10.1007/s00028-017-0411-5 bibtex: '@article{Black_Lankeit_Mizukami_2017, title={Singular sensitivity in a Keller–Segel-fluid system}, volume={18}, DOI={10.1007/s00028-017-0411-5}, 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} }' chicago: 'Black, Tobias, Johannes Lankeit, and Masaaki Mizukami. “Singular Sensitivity in a Keller–Segel-Fluid System.” Journal of Evolution Equations 18, no. 2 (2017): 561–81. https://doi.org/10.1007/s00028-017-0411-5.' ieee: 'T. Black, J. Lankeit, and M. Mizukami, “Singular sensitivity in a Keller–Segel-fluid system,” Journal of Evolution Equations, vol. 18, no. 2, pp. 561–581, 2017, doi: 10.1007/s00028-017-0411-5.' mla: Black, Tobias, et al. “Singular Sensitivity in a Keller–Segel-Fluid System.” Journal of Evolution Equations, vol. 18, no. 2, Springer Science and Business Media LLC, 2017, pp. 561–81, doi:10.1007/s00028-017-0411-5. short: T. Black, J. Lankeit, M. Mizukami, Journal of Evolution Equations 18 (2017) 561–581. date_created: 2022-12-21T09:47:13Z date_updated: 2022-12-21T10:05:25Z department: - _id: '34' - _id: '10' - _id: '90' doi: 10.1007/s00028-017-0411-5 intvolume: ' 18' issue: '2' keyword: - Mathematics (miscellaneous) language: - iso: eng page: 561-581 publication: Journal of Evolution Equations publication_identifier: issn: - 1424-3199 - 1424-3202 publication_status: published publisher: Springer Science and Business Media LLC status: public title: Singular sensitivity in a Keller–Segel-fluid system type: journal_article user_id: '23686' volume: 18 year: '2017' ... --- _id: '8756' 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. 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: Kai full_name: Schäfer, Kai last_name: Schäfer - first_name: Sina full_name: Ober-Blöbaum, Sina id: '16494' last_name: Ober-Blöbaum - first_name: Julian full_name: Eckstein, Julian last_name: Eckstein - first_name: Ulrich full_name: Köhler, Ulrich last_name: Köhler - first_name: Michael full_name: Dellnitz, Michael last_name: Dellnitz citation: ama: Peitz S, Schäfer K, Ober-Blöbaum S, Eckstein J, Köhler U, Dellnitz M. A multiobjective MPC approach for autonomously driven electric vehicles. Proceedings of the 20th World Congress of the International Federation of Automatic Control (IFAC). 2017;50(1):8674-8679. doi:10.1016/j.ifacol.2017.08.1526 apa: Peitz, S., Schäfer, K., Ober-Blöbaum, S., Eckstein, J., Köhler, U., & Dellnitz, M. (2017). A multiobjective MPC approach for autonomously driven electric vehicles. Proceedings of the 20th World Congress of the International Federation of Automatic Control (IFAC), 50(1), 8674–8679. https://doi.org/10.1016/j.ifacol.2017.08.1526 bibtex: '@article{Peitz_Schäfer_Ober-Blöbaum_Eckstein_Köhler_Dellnitz_2017, title={A multiobjective MPC approach for autonomously driven electric vehicles}, volume={50}, DOI={10.1016/j.ifacol.2017.08.1526}, 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} }' chicago: 'Peitz, Sebastian, Kai Schäfer, Sina Ober-Blöbaum, Julian Eckstein, Ulrich Köhler, and Michael Dellnitz. “A Multiobjective MPC Approach for Autonomously Driven Electric Vehicles.” Proceedings of the 20th World Congress of the International Federation of Automatic Control (IFAC) 50, no. 1 (2017): 8674–79. https://doi.org/10.1016/j.ifacol.2017.08.1526.' ieee: 'S. Peitz, K. Schäfer, S. Ober-Blöbaum, J. Eckstein, U. Köhler, and M. Dellnitz, “A multiobjective MPC approach for autonomously driven electric vehicles,” Proceedings of the 20th World Congress of the International Federation of Automatic Control (IFAC), vol. 50, no. 1, pp. 8674–8679, 2017, doi: 10.1016/j.ifacol.2017.08.1526.' mla: Peitz, Sebastian, et al. “A Multiobjective MPC Approach for Autonomously Driven Electric Vehicles.” Proceedings of the 20th World Congress of the International Federation of Automatic Control (IFAC), vol. 50, no. 1, 2017, pp. 8674–79, doi:10.1016/j.ifacol.2017.08.1526. 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. conference: end_date: 2017-07-14 start_date: 2017-07-09 date_created: 2019-03-29T13:32:46Z date_updated: 2022-01-21T13:58:41Z department: - _id: '101' doi: 10.1016/j.ifacol.2017.08.1526 intvolume: ' 50' issue: '1' language: - iso: eng page: 8674-8679 publication: Proceedings of the 20th World Congress of the International Federation of Automatic Control (IFAC) publication_identifier: issn: - 2405-8963 publication_status: published status: public title: A multiobjective MPC approach for autonomously driven electric vehicles type: journal_article user_id: '15694' volume: 50 year: '2017' ... --- _id: '29430' author: - first_name: T. full_name: Gail, T. last_name: Gail - first_name: Sina full_name: Ober-Blöbaum, Sina id: '16494' last_name: Ober-Blöbaum - first_name: 'S. ' full_name: 'Leyendecker, S. ' last_name: Leyendecker citation: ama: 'Gail T, Ober-Blöbaum S, Leyendecker S. Variational multirate integration in discrete mechanics and optimal control. In: ECCOMAS Thematic Conference on Multibody Dynamics. ; 2017.' apa: Gail, T., Ober-Blöbaum, S., & Leyendecker, S. (2017). Variational multirate integration in discrete mechanics and optimal control. ECCOMAS Thematic Conference on Multibody Dynamics. 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} }' chicago: Gail, T., Sina Ober-Blöbaum, and S. Leyendecker. “Variational Multirate Integration in Discrete Mechanics and Optimal Control.” In ECCOMAS Thematic Conference on Multibody Dynamics, 2017. ieee: T. Gail, S. Ober-Blöbaum, and S. Leyendecker, “Variational multirate integration in discrete mechanics and optimal control,” 2017. mla: Gail, T., et al. “Variational Multirate Integration in Discrete Mechanics and Optimal Control.” ECCOMAS Thematic Conference on Multibody Dynamics, 2017. short: 'T. Gail, S. Ober-Blöbaum, S. Leyendecker, in: ECCOMAS Thematic Conference on Multibody Dynamics, 2017.' conference: end_date: 2017-06-22 start_date: 2017-06-19 date_created: 2022-01-19T10:06:50Z date_updated: 2022-01-21T14:00:25Z department: - _id: '636' language: - iso: eng publication: ECCOMAS Thematic Conference on Multibody Dynamics status: public title: Variational multirate integration in discrete mechanics and optimal control type: conference user_id: '15694' year: '2017' ... --- _id: '31301' author: - first_name: Philipp full_name: Schütte, Philipp id: '50168' last_name: Schütte citation: ama: Schütte P. Identifying and Realizing Symmetries in Quantum Walks - Symmetry Classes and Quantum Walks.; 2017. apa: Schütte, P. (2017). Identifying and Realizing Symmetries in Quantum Walks - Symmetry Classes and Quantum Walks. bibtex: '@book{Schütte_2017, title={Identifying and Realizing Symmetries in Quantum Walks - Symmetry Classes and Quantum Walks}, author={Schütte, Philipp}, year={2017} }' chicago: Schütte, Philipp. Identifying and Realizing Symmetries in Quantum Walks - Symmetry Classes and Quantum Walks, 2017. ieee: P. Schütte, Identifying and Realizing Symmetries in Quantum Walks - Symmetry Classes and Quantum Walks. 2017. mla: Schütte, Philipp. Identifying and Realizing Symmetries in Quantum Walks - Symmetry Classes and Quantum Walks. 2017. short: P. Schütte, Identifying and Realizing Symmetries in Quantum Walks - Symmetry Classes and Quantum Walks, 2017. date_created: 2022-05-17T13:40:30Z date_updated: 2022-05-17T13:42:20Z department: - _id: '548' - _id: '288' language: - iso: eng status: public supervisor: - first_name: Tobias full_name: Weich, Tobias id: '49178' last_name: Weich orcid: 0000-0002-9648-6919 - first_name: Christine full_name: Silberhorn, Christine id: '26263' last_name: Silberhorn title: Identifying and Realizing Symmetries in Quantum Walks - Symmetry Classes and Quantum Walks type: bachelorsthesis user_id: '50168' year: '2017' ... --- _id: '31268' author: - first_name: Frédéric full_name: Faure, Frédéric last_name: Faure - first_name: Tobias full_name: Weich, Tobias id: '49178' last_name: Weich orcid: 0000-0002-9648-6919 citation: ama: Faure F, Weich T. Global Normal Form and Asymptotic Spectral Gap for Open Partially Expanding Maps. Communications in Mathematical Physics. 2017;356(3):755-822. doi:10.1007/s00220-017-3000-0 apa: Faure, F., & Weich, T. (2017). Global Normal Form and Asymptotic Spectral Gap for Open Partially Expanding Maps. Communications in Mathematical Physics, 356(3), 755–822. https://doi.org/10.1007/s00220-017-3000-0 bibtex: '@article{Faure_Weich_2017, title={Global Normal Form and Asymptotic Spectral Gap for Open Partially Expanding Maps}, volume={356}, DOI={10.1007/s00220-017-3000-0}, 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} }' chicago: 'Faure, Frédéric, and Tobias Weich. “Global Normal Form and Asymptotic Spectral Gap for Open Partially Expanding Maps.” Communications in Mathematical Physics 356, no. 3 (2017): 755–822. https://doi.org/10.1007/s00220-017-3000-0.' ieee: 'F. Faure and T. Weich, “Global Normal Form and Asymptotic Spectral Gap for Open Partially Expanding Maps,” Communications in Mathematical Physics, vol. 356, no. 3, pp. 755–822, 2017, doi: 10.1007/s00220-017-3000-0.' mla: Faure, Frédéric, and Tobias Weich. “Global Normal Form and Asymptotic Spectral Gap for Open Partially Expanding Maps.” Communications in Mathematical Physics, vol. 356, no. 3, Springer Science and Business Media LLC, 2017, pp. 755–822, doi:10.1007/s00220-017-3000-0. short: F. Faure, T. Weich, Communications in Mathematical Physics 356 (2017) 755–822. date_created: 2022-05-17T12:11:13Z date_updated: 2022-05-19T10:14:36Z department: - _id: '10' - _id: '623' - _id: '548' doi: 10.1007/s00220-017-3000-0 external_id: arxiv: - '1504.06728' intvolume: ' 356' issue: '3' keyword: - Mathematical Physics - Statistical and Nonlinear Physics language: - iso: eng page: 755-822 publication: Communications in Mathematical Physics publication_identifier: issn: - 0010-3616 - 1432-0916 publication_status: published publisher: Springer Science and Business Media LLC status: public title: Global Normal Form and Asymptotic Spectral Gap for Open Partially Expanding Maps type: journal_article user_id: '49178' volume: 356 year: '2017' ... --- _id: '31272' author: - first_name: Benjamin full_name: Harris, Benjamin last_name: Harris - first_name: Tobias full_name: Weich, Tobias id: '49178' last_name: Weich orcid: 0000-0002-9648-6919 citation: ama: Harris B, Weich T. Wave front sets of reductive Lie group representations III. Advances in Mathematics. 2017;313:176-236. doi:10.1016/j.aim.2017.03.025 apa: Harris, B., & Weich, T. (2017). Wave front sets of reductive Lie group representations III. Advances in Mathematics, 313, 176–236. https://doi.org/10.1016/j.aim.2017.03.025 bibtex: '@article{Harris_Weich_2017, title={Wave front sets of reductive Lie group representations III}, volume={313}, DOI={10.1016/j.aim.2017.03.025}, journal={Advances in Mathematics}, publisher={Elsevier BV}, author={Harris, Benjamin and Weich, Tobias}, year={2017}, pages={176–236} }' chicago: 'Harris, Benjamin, and Tobias Weich. “Wave Front Sets of Reductive Lie Group Representations III.” Advances in Mathematics 313 (2017): 176–236. https://doi.org/10.1016/j.aim.2017.03.025.' ieee: 'B. Harris and T. Weich, “Wave front sets of reductive Lie group representations III,” Advances in Mathematics, vol. 313, pp. 176–236, 2017, doi: 10.1016/j.aim.2017.03.025.' mla: Harris, Benjamin, and Tobias Weich. “Wave Front Sets of Reductive Lie Group Representations III.” Advances in Mathematics, vol. 313, Elsevier BV, 2017, pp. 176–236, doi:10.1016/j.aim.2017.03.025. short: B. Harris, T. Weich, Advances in Mathematics 313 (2017) 176–236. date_created: 2022-05-17T12:16:37Z date_updated: 2022-05-19T10:15:00Z department: - _id: '10' - _id: '623' - _id: '548' doi: 10.1016/j.aim.2017.03.025 external_id: arxiv: - '1503.08431' intvolume: ' 313' keyword: - General Mathematics language: - iso: eng page: 176-236 publication: Advances in Mathematics publication_identifier: issn: - 0001-8708 publication_status: published publisher: Elsevier BV status: public title: Wave front sets of reductive Lie group representations III type: journal_article user_id: '49178' volume: 313 year: '2017' ... --- _id: '31370' author: - first_name: Max full_name: Hoffmann, Max id: '32202' last_name: Hoffmann - first_name: Rolf full_name: Biehler, Rolf last_name: Biehler citation: ama: 'Hoffmann M, Biehler R. Schnittstellenaufgaben für die Analysis I – Konzept, Beispiele und Evaluationsergebnisse. In: Kortenkamp U, Kuzle A, eds. Beiträge zum Mathematikunterricht 2017. WTM-Verlag; 2017:441-444. doi:10.17877/DE290R-18534' apa: Hoffmann, M., & Biehler, R. (2017). Schnittstellenaufgaben für die Analysis I – Konzept, Beispiele und Evaluationsergebnisse. In U. Kortenkamp & A. Kuzle (Eds.), Beiträge zum Mathematikunterricht 2017 (pp. 441–444). WTM-Verlag. https://doi.org/10.17877/DE290R-18534 bibtex: '@inproceedings{Hoffmann_Biehler_2017, place={Münster}, title={Schnittstellenaufgaben für die Analysis I – Konzept, Beispiele und Evaluationsergebnisse}, DOI={10.17877/DE290R-18534}, 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} }' chicago: 'Hoffmann, Max, and Rolf Biehler. “Schnittstellenaufgaben für die Analysis I – Konzept, Beispiele und Evaluationsergebnisse.” In Beiträge zum Mathematikunterricht 2017, edited by Ulrich Kortenkamp and Ana Kuzle, 441–44. Münster: WTM-Verlag, 2017. https://doi.org/10.17877/DE290R-18534.' ieee: 'M. Hoffmann and R. Biehler, “Schnittstellenaufgaben für die Analysis I – Konzept, Beispiele und Evaluationsergebnisse,” in Beiträge zum Mathematikunterricht 2017, 2017, pp. 441–444, doi: 10.17877/DE290R-18534.' mla: Hoffmann, Max, and Rolf Biehler. “Schnittstellenaufgaben für die Analysis I – Konzept, Beispiele und Evaluationsergebnisse.” Beiträge zum Mathematikunterricht 2017, edited by Ulrich Kortenkamp and Ana Kuzle, WTM-Verlag, 2017, pp. 441–44, doi:10.17877/DE290R-18534. short: 'M. Hoffmann, R. Biehler, in: U. Kortenkamp, A. Kuzle (Eds.), Beiträge zum Mathematikunterricht 2017, WTM-Verlag, Münster, 2017, pp. 441–444.' date_created: 2022-05-22T14:30:54Z date_updated: 2022-05-22T14:35:22Z department: - _id: '97' doi: 10.17877/DE290R-18534 editor: - first_name: Ulrich full_name: Kortenkamp, Ulrich last_name: Kortenkamp - first_name: Ana full_name: Kuzle, Ana last_name: Kuzle language: - iso: ger main_file_link: - open_access: '1' url: https://eldorado.tu-dortmund.de/handle/2003/36533 oa: '1' page: 441-444 place: Münster publication: Beiträge zum Mathematikunterricht 2017 publication_status: published publisher: WTM-Verlag status: public title: Schnittstellenaufgaben für die Analysis I – Konzept, Beispiele und Evaluationsergebnisse type: conference user_id: '32202' year: '2017' ... --- _id: '31857' 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. Grundzüge des inklusiven Mathematikunterrichts. Mit allen Kindern rechnen. In: Häsel-Weide U, Nührenbörger M, eds. Gemeinsam Mathematik lernen - mit allen Kindern rechnen. Grundschulverband e. V.; 2017:8-21.' apa: Häsel-Weide, U., & Nührenbörger, M. (2017). Grundzüge des inklusiven Mathematikunterrichts. Mit allen Kindern rechnen. In U. Häsel-Weide & M. Nührenbörger (Eds.), Gemeinsam Mathematik lernen - mit allen Kindern rechnen. (pp. 8–21). Grundschulverband e. V. 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} }' chicago: 'Häsel-Weide, Uta, and M. Nührenbörger. “Grundzüge des inklusiven Mathematikunterrichts. Mit allen Kindern rechnen.” In Gemeinsam Mathematik lernen - mit allen Kindern rechnen., edited by Uta Häsel-Weide and M. Nührenbörger, 8–21. Frankfurt a. Main: Grundschulverband e. V., 2017.' ieee: 'U. Häsel-Weide and M. Nührenbörger, “Grundzüge des inklusiven Mathematikunterrichts. Mit allen Kindern rechnen.,” in Gemeinsam Mathematik lernen - mit allen Kindern rechnen., U. Häsel-Weide and M. Nührenbörger, Eds. Frankfurt a. Main: Grundschulverband e. V., 2017, pp. 8–21.' mla: Häsel-Weide, Uta, and M. Nührenbörger. “Grundzüge des inklusiven Mathematikunterrichts. Mit allen Kindern rechnen.” Gemeinsam Mathematik lernen - mit allen Kindern rechnen., 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.' date_created: 2022-06-13T09:10:49Z date_updated: 2022-09-06T06:32:04Z department: - _id: '98' - _id: '543' editor: - first_name: Uta full_name: Häsel-Weide, Uta last_name: Häsel-Weide - first_name: M. full_name: Nührenbörger, M. last_name: Nührenbörger language: - iso: ger page: 8-21 place: Frankfurt a. Main publication: Gemeinsam Mathematik lernen - mit allen Kindern rechnen. publication_status: published publisher: Grundschulverband e. V. status: public title: Grundzüge des inklusiven Mathematikunterrichts. Mit allen Kindern rechnen. type: book_chapter user_id: '85821' year: '2017' ... --- _id: '33336' 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. author: - first_name: Lea full_name: Boßmann, Lea last_name: Boßmann - first_name: Robert full_name: Grummt, Robert last_name: Grummt - first_name: Martin full_name: Kolb, Martin id: '48880' last_name: Kolb citation: ama: Boßmann L, Grummt R, Kolb M. On the dipole approximation with error estimates. Letters in Mathematical Physics. 2017;108:185–193. doi:https://link.springer.com/article/10.1007/s11005-017-0999-y apa: Boßmann, L., Grummt, R., & Kolb, M. (2017). On the dipole approximation with error estimates. Letters in Mathematical Physics, 108, 185–193. https://link.springer.com/article/10.1007/s11005-017-0999-y bibtex: '@article{Boßmann_Grummt_Kolb_2017, title={On the dipole approximation with error estimates}, volume={108}, DOI={https://link.springer.com/article/10.1007/s11005-017-0999-y}, journal={Letters in Mathematical Physics}, author={Boßmann, Lea and Grummt, Robert and Kolb, Martin}, year={2017}, pages={185–193} }' chicago: 'Boßmann, Lea, Robert Grummt, and Martin Kolb. “On the Dipole Approximation with Error Estimates.” Letters in Mathematical Physics 108 (2017): 185–193. https://link.springer.com/article/10.1007/s11005-017-0999-y.' ieee: 'L. Boßmann, R. Grummt, and M. Kolb, “On the dipole approximation with error estimates,” Letters in Mathematical Physics, vol. 108, pp. 185–193, 2017, doi: https://link.springer.com/article/10.1007/s11005-017-0999-y.' mla: Boßmann, Lea, et al. “On the Dipole Approximation with Error Estimates.” Letters in Mathematical Physics, vol. 108, 2017, pp. 185–193, doi:https://link.springer.com/article/10.1007/s11005-017-0999-y. short: L. Boßmann, R. Grummt, M. Kolb, Letters in Mathematical Physics 108 (2017) 185–193. date_created: 2022-09-12T08:08:05Z date_updated: 2022-09-12T08:08:09Z department: - _id: '96' doi: https://link.springer.com/article/10.1007/s11005-017-0999-y intvolume: ' 108' language: - iso: eng page: 185–193 publication: Letters in Mathematical Physics publication_status: published status: public title: On the dipole approximation with error estimates type: journal_article user_id: '85821' volume: 108 year: '2017' ...