[{"author":[{"id":"104","last_name":"Eke","first_name":"Norbert Otto","full_name":"Eke, Norbert Otto"}],"year":"2000","title":"George Tabori","status":"public","date_updated":"2022-01-06T06:54:03Z","_id":"19400","publisher":"Erich Schmidt","language":[{"iso":"ger"}],"page":"382-402","editor":[{"full_name":"Allkemper, Alo","first_name":"Alo","last_name":"Allkemper"},{"last_name":"Eke","first_name":"Norbert Otto","full_name":"Eke, Norbert Otto"}],"user_id":"14932","citation":{"bibtex":"@inbook{Eke_2000, place={Berlin}, title={George Tabori}, booktitle={Deutsche Dramatiker des 20. Jahrhunderts}, publisher={Erich Schmidt}, author={Eke, Norbert Otto}, editor={Allkemper, Alo and Eke, Norbert OttoEditors}, year={2000}, pages={382–402} }","ama":"Eke NO. George Tabori. In: Allkemper A, Eke NO, eds. <i>Deutsche Dramatiker des 20. Jahrhunderts</i>. Berlin: Erich Schmidt; 2000:382-402.","mla":"Eke, Norbert Otto. “George Tabori.” <i>Deutsche Dramatiker des 20. Jahrhunderts</i>, edited by Alo Allkemper and Norbert Otto Eke, Erich Schmidt, 2000, pp. 382–402.","short":"N.O. Eke, in: A. Allkemper, N.O. Eke (Eds.), Deutsche Dramatiker des 20. Jahrhunderts, Erich Schmidt, Berlin, 2000, pp. 382–402.","chicago":"Eke, Norbert Otto. “George Tabori.” In <i>Deutsche Dramatiker des 20. Jahrhunderts</i>, edited by Alo Allkemper and Norbert Otto Eke, 382–402. Berlin: Erich Schmidt, 2000.","ieee":"N. O. Eke, “George Tabori,” in <i>Deutsche Dramatiker des 20. Jahrhunderts</i>, A. Allkemper and N. O. Eke, Eds. Berlin: Erich Schmidt, 2000, pp. 382–402.","apa":"Eke, N. O. (2000). George Tabori. In A. Allkemper &#38; N. O. Eke (Eds.), <i>Deutsche Dramatiker des 20. Jahrhunderts</i> (pp. 382–402). Berlin: Erich Schmidt."},"publication":"Deutsche Dramatiker des 20. Jahrhunderts","extern":"1","place":"Berlin","date_created":"2020-09-15T05:36:51Z","department":[{"_id":"465"}],"type":"book_chapter"},{"type":"book_chapter","department":[{"_id":"465"}],"place":"Bielefeld","date_created":"2020-09-15T05:39:40Z","extern":"1","publication":"Willibald Alexis (1798-1871). Ein Autor des Vor- und Nachmärz","citation":{"ieee":"N. O. Eke, “Der Kritiker in der Kritik. Willibald Alexis, das Junge Deutschland und Alexis’ autobiographische Fragmente Erinnerungen aus meinem Leben,” in <i>Willibald Alexis (1798-1871). Ein Autor des Vor- und Nachmärz</i>, W. Beutin and P. Stein, Eds. Bielefeld: Aisthesis, 2000, pp. 55–80.","apa":"Eke, N. O. (2000). Der Kritiker in der Kritik. Willibald Alexis, das Junge Deutschland und Alexis’ autobiographische Fragmente Erinnerungen aus meinem Leben. In W. Beutin &#38; P. Stein (Eds.), <i>Willibald Alexis (1798-1871). Ein Autor des Vor- und Nachmärz</i> (pp. 55–80). Bielefeld: Aisthesis.","mla":"Eke, Norbert Otto. “Der Kritiker in der Kritik. Willibald Alexis, das Junge Deutschland und Alexis’ autobiographische Fragmente Erinnerungen aus meinem Leben.” <i>Willibald Alexis (1798-1871). Ein Autor des Vor- und Nachmärz</i>, edited by Wolfgang Beutin and Peter Stein, Aisthesis, 2000, pp. 55–80.","bibtex":"@inbook{Eke_2000, place={Bielefeld}, title={Der Kritiker in der Kritik. Willibald Alexis, das Junge Deutschland und Alexis’ autobiographische Fragmente Erinnerungen aus meinem Leben}, booktitle={Willibald Alexis (1798-1871). Ein Autor des Vor- und Nachmärz}, publisher={Aisthesis}, author={Eke, Norbert Otto}, editor={Beutin, Wolfgang and Stein, PeterEditors}, year={2000}, pages={55–80} }","chicago":"Eke, Norbert Otto. “Der Kritiker in der Kritik. Willibald Alexis, das Junge Deutschland und Alexis’ autobiographische Fragmente Erinnerungen aus meinem Leben.” In <i>Willibald Alexis (1798-1871). Ein Autor des Vor- und Nachmärz</i>, edited by Wolfgang Beutin and Peter Stein, 55–80. Bielefeld: Aisthesis, 2000.","short":"N.O. Eke, in: W. Beutin, P. Stein (Eds.), Willibald Alexis (1798-1871). Ein Autor des Vor- und Nachmärz, Aisthesis, Bielefeld, 2000, pp. 55–80.","ama":"Eke NO. Der Kritiker in der Kritik. Willibald Alexis, das Junge Deutschland und Alexis’ autobiographische Fragmente Erinnerungen aus meinem Leben. In: Beutin W, Stein P, eds. <i>Willibald Alexis (1798-1871). Ein Autor des Vor- und Nachmärz</i>. Bielefeld: Aisthesis; 2000:55-80."},"user_id":"14932","editor":[{"full_name":"Beutin, Wolfgang","first_name":"Wolfgang","last_name":"Beutin"},{"full_name":"Stein, Peter","last_name":"Stein","first_name":"Peter"}],"page":"55-80","language":[{"iso":"ger"}],"_id":"19401","publisher":"Aisthesis","date_updated":"2022-01-06T06:54:03Z","status":"public","year":"2000","title":"Der Kritiker in der Kritik. Willibald Alexis, das Junge Deutschland und Alexis' autobiographische Fragmente Erinnerungen aus meinem Leben","author":[{"full_name":"Eke, Norbert Otto","first_name":"Norbert Otto","last_name":"Eke","id":"104"}]},{"place":"Berlin","date_created":"2020-09-15T05:46:14Z","department":[{"_id":"465"}],"type":"book_chapter","citation":{"chicago":"Eke, Norbert Otto. “Wahrnehmung im Augen-Schein. Thomas Braschs (und Jurek Beckers) filmische Reflexion über die Kunst nach Auschwitz: „Der Passagier – Welcome to Germany“.” In <i>Literatur und Demokratie</i>, edited by Alo Allkemper and Norbert Otto Eke, 285–300. Berlin: Erich Schmidt, 2000.","short":"N.O. Eke, in: A. Allkemper, N.O. Eke (Eds.), Literatur und Demokratie, Erich Schmidt, Berlin, 2000, pp. 285–300.","apa":"Eke, N. O. (2000). Wahrnehmung im Augen-Schein. Thomas Braschs (und Jurek Beckers) filmische Reflexion über die Kunst nach Auschwitz: „Der Passagier – Welcome to Germany“. In A. Allkemper &#38; N. O. Eke (Eds.), <i>Literatur und Demokratie</i> (pp. 285–300). Berlin: Erich Schmidt.","ieee":"N. O. Eke, “Wahrnehmung im Augen-Schein. Thomas Braschs (und Jurek Beckers) filmische Reflexion über die Kunst nach Auschwitz: „Der Passagier – Welcome to Germany“,” in <i>Literatur und Demokratie</i>, A. Allkemper and N. O. Eke, Eds. Berlin: Erich Schmidt, 2000, pp. 285–300.","ama":"Eke NO. Wahrnehmung im Augen-Schein. Thomas Braschs (und Jurek Beckers) filmische Reflexion über die Kunst nach Auschwitz: „Der Passagier – Welcome to Germany“. In: Allkemper A, Eke NO, eds. <i>Literatur und Demokratie</i>. Berlin: Erich Schmidt; 2000:285-300.","bibtex":"@inbook{Eke_2000, place={Berlin}, title={Wahrnehmung im Augen-Schein. Thomas Braschs (und Jurek Beckers) filmische Reflexion über die Kunst nach Auschwitz: „Der Passagier – Welcome to Germany“}, booktitle={Literatur und Demokratie}, publisher={Erich Schmidt}, author={Eke, Norbert Otto}, editor={Allkemper, Alo and Eke, Norbert OttoEditors}, year={2000}, pages={285–300} }","mla":"Eke, Norbert Otto. “Wahrnehmung im Augen-Schein. Thomas Braschs (und Jurek Beckers) filmische Reflexion über die Kunst nach Auschwitz: „Der Passagier – Welcome to Germany“.” <i>Literatur und Demokratie</i>, edited by Alo Allkemper and Norbert Otto Eke, Erich Schmidt, 2000, pp. 285–300."},"publication":"Literatur und Demokratie","extern":"1","_id":"19403","language":[{"iso":"ger"}],"publisher":"Erich Schmidt","page":"285-300","editor":[{"full_name":"Allkemper, Alo","last_name":"Allkemper","first_name":"Alo"},{"last_name":"Eke","first_name":"Norbert Otto","full_name":"Eke, Norbert Otto"}],"user_id":"14932","author":[{"full_name":"Eke, Norbert Otto","last_name":"Eke","first_name":"Norbert Otto","id":"104"}],"year":"2000","status":"public","title":"Wahrnehmung im Augen-Schein. Thomas Braschs (und Jurek Beckers) filmische Reflexion über die Kunst nach Auschwitz: „Der Passagier – Welcome to Germany“","date_updated":"2022-01-06T06:54:03Z"},{"date_updated":"2022-01-06T06:55:53Z","ipn":"DE 100 61 501 A1","title":"Aus einem Getriebemodul und einem Antriebsmodul bestehende Antriebseinheit","year":"2000","status":"public","author":[{"id":"604","first_name":"Detmar","last_name":"Zimmer","full_name":"Zimmer, Detmar"}],"publication_date":"2000-06-27","user_id":"38077","_id":"23424","extern":"1","ipc":"F16H 57/02","applicant":["Lenze GmbH & Co KG"],"application_date":"2000-12-08","citation":{"bibtex":"@article{Zimmer_2000, title={Aus einem Getriebemodul und einem Antriebsmodul bestehende Antriebseinheit}, author={Zimmer, Detmar}, year={2000} }","ama":"Zimmer D. Aus einem Getriebemodul und einem Antriebsmodul bestehende Antriebseinheit. 2000.","mla":"Zimmer, Detmar. <i>Aus Einem Getriebemodul Und Einem Antriebsmodul Bestehende Antriebseinheit</i>. 2000.","short":"D. Zimmer, (2000).","chicago":"Zimmer, Detmar. “Aus Einem Getriebemodul Und Einem Antriebsmodul Bestehende Antriebseinheit,” 2000.","ieee":"D. Zimmer, “Aus einem Getriebemodul und einem Antriebsmodul bestehende Antriebseinheit.” 2000.","apa":"Zimmer, D. (2000). Aus einem Getriebemodul und einem Antriebsmodul bestehende Antriebseinheit."},"type":"patent","department":[{"_id":"146"}],"application_number":"100 61 501.5","date_created":"2021-08-17T07:52:38Z"},{"title":"Getriebebaukasten mit Kronengetriebe","year":"2000","status":"public","author":[{"id":"604","full_name":"Zimmer, Detmar","last_name":"Zimmer","first_name":"Detmar"}],"date_updated":"2022-01-06T06:55:53Z","ipn":"EP 1 000 280 B1","_id":"23425","user_id":"38077","publication_date":"2000-05-17","citation":{"ama":"Zimmer D. Getriebebaukasten mit Kronengetriebe. 2000.","bibtex":"@article{Zimmer_2000, title={Getriebebaukasten mit Kronengetriebe}, author={Zimmer, Detmar}, year={2000} }","mla":"Zimmer, Detmar. <i>Getriebebaukasten Mit Kronengetriebe</i>. 2000.","short":"D. Zimmer, (2000).","chicago":"Zimmer, Detmar. “Getriebebaukasten Mit Kronengetriebe,” 2000.","apa":"Zimmer, D. (2000). Getriebebaukasten mit Kronengetriebe.","ieee":"D. Zimmer, “Getriebebaukasten mit Kronengetriebe.” 2000."},"application_date":"1998-07-23","extern":"1","applicant":["Lenze GmbH & Co KG"],"ipc":"F16J","application_number":"98942602.8","date_created":"2021-08-17T08:01:09Z","type":"patent","department":[{"_id":"146"}]},{"status":"public","publisher":"Springer","_id":"17990","page":"155-166","volume":4698,"user_id":"15415","citation":{"mla":"Czumaj, Artur, et al. “Property Testing in Computational Geometry.” <i>Proceedings of the 8th Annual European Symposium on Algorithms (ESA’00)</i>, vol. 4698, Springer, 2000, pp. 155–66, doi:<a href=\"https://doi.org/10.1007/3-540-45253-2_15\">10.1007/3-540-45253-2_15</a>.","bibtex":"@inproceedings{Czumaj_Sohler_Ziegler_2000, place={Berlin, Heidelberg}, series={Lecture Notes in Computer Science}, title={Property Testing in Computational Geometry}, volume={4698}, DOI={<a href=\"https://doi.org/10.1007/3-540-45253-2_15\">10.1007/3-540-45253-2_15</a>}, booktitle={Proceedings of the 8th Annual European Symposium on Algorithms (ESA’00)}, publisher={Springer}, author={Czumaj, Artur and Sohler, Christian and Ziegler, Martin}, year={2000}, pages={155–166}, collection={Lecture Notes in Computer Science} }","ama":"Czumaj A, Sohler C, Ziegler M. Property Testing in Computational Geometry. In: <i>Proceedings of the 8th Annual European Symposium on Algorithms (ESA’00)</i>. Vol 4698. Lecture Notes in Computer Science. Berlin, Heidelberg: Springer; 2000:155-166. doi:<a href=\"https://doi.org/10.1007/3-540-45253-2_15\">10.1007/3-540-45253-2_15</a>","ieee":"A. Czumaj, C. Sohler, and M. Ziegler, “Property Testing in Computational Geometry,” in <i>Proceedings of the 8th Annual European Symposium on Algorithms (ESA’00)</i>, 2000, vol. 4698, pp. 155–166.","apa":"Czumaj, A., Sohler, C., &#38; Ziegler, M. (2000). Property Testing in Computational Geometry. In <i>Proceedings of the 8th Annual European Symposium on Algorithms (ESA’00)</i> (Vol. 4698, pp. 155–166). Berlin, Heidelberg: Springer. <a href=\"https://doi.org/10.1007/3-540-45253-2_15\">https://doi.org/10.1007/3-540-45253-2_15</a>","short":"A. Czumaj, C. Sohler, M. Ziegler, in: Proceedings of the 8th Annual European Symposium on Algorithms (ESA’00), Springer, Berlin, Heidelberg, 2000, pp. 155–166.","chicago":"Czumaj, Artur, Christian Sohler, and Martin Ziegler. “Property Testing in Computational Geometry.” In <i>Proceedings of the 8th Annual European Symposium on Algorithms (ESA’00)</i>, 4698:155–66. Lecture Notes in Computer Science. Berlin, Heidelberg: Springer, 2000. <a href=\"https://doi.org/10.1007/3-540-45253-2_15\">https://doi.org/10.1007/3-540-45253-2_15</a>."},"place":"Berlin, Heidelberg","author":[{"first_name":"Artur","last_name":"Czumaj","full_name":"Czumaj, Artur"},{"last_name":"Sohler","first_name":"Christian","full_name":"Sohler, Christian"},{"first_name":"Martin","last_name":"Ziegler","full_name":"Ziegler, Martin"}],"publication_identifier":{"issn":["0302-9743"],"isbn":["9783540410041","9783540452539"]},"year":"2000","title":"Property Testing in Computational Geometry","intvolume":"      4698","date_updated":"2022-01-06T06:53:24Z","publication_status":"published","language":[{"iso":"eng"}],"series_title":"Lecture Notes in Computer Science","doi":"10.1007/3-540-45253-2_15","publication":"Proceedings of the 8th Annual European Symposium on Algorithms (ESA'00)","abstract":[{"text":"We consider the notion of Property Testing as applied to computational geometry. We aim at developing efficient algorithms which determine whether a given (geometrical) object has a predetermined property Q or is 'far' from any object having the property. We show that many basic geometric properties have very efficient testing algorithms, whose running time is significantly smaller than the object description size.","lang":"eng"}],"date_created":"2020-08-14T13:48:54Z","department":[{"_id":"63"}],"type":"conference"},{"publication_status":"published","date_updated":"2022-01-06T06:53:26Z","publication_identifier":{"unknown":["ISSN: 2512-112X"]},"title":"Medienbildung und Gesellschaft","status":"public","year":"2000","editor":[{"full_name":"Fromme, J.","last_name":"Fromme","first_name":"J."},{"last_name":"Ganguin","first_name":"S.","full_name":"Ganguin, S."},{"last_name":"Iske","first_name":"S.","full_name":"Iske, S."},{"id":"346","full_name":"Meister, Dorothee M.","first_name":"Dorothee M.","last_name":"Meister"},{"last_name":"Sander","first_name":"U.","full_name":"Sander, U."}],"user_id":"21240","publisher":"VS Verlag","_id":"18121","language":[{"iso":"ger"}],"citation":{"mla":"Fromme, J., et al., editors. <i>Medienbildung und Gesellschaft</i>. VS Verlag, 2000.","ama":"Fromme J, Ganguin S, Iske S, Meister DM, Sander U, eds. <i>Medienbildung und Gesellschaft</i>. VS Verlag; 2000.","bibtex":"@book{Fromme_Ganguin_Iske_Meister_Sander_2000, title={Medienbildung und Gesellschaft}, publisher={VS Verlag}, year={2000} }","apa":"Fromme, J., Ganguin, S., Iske, S., Meister, D. M., &#38; Sander, U. (Eds.). (2000). <i>Medienbildung und Gesellschaft</i>. VS Verlag.","ieee":"J. Fromme, S. Ganguin, S. Iske, D. M. Meister, and U. Sander, Eds., <i>Medienbildung und Gesellschaft</i>. VS Verlag, 2000.","short":"J. Fromme, S. Ganguin, S. Iske, D.M. Meister, U. Sander, eds., Medienbildung und Gesellschaft, VS Verlag, 2000.","chicago":"Fromme, J., S. Ganguin, S. Iske, Dorothee M. Meister, and U. Sander, eds. <i>Medienbildung und Gesellschaft</i>. VS Verlag, 2000."},"department":[{"_id":"137"}],"type":"book_editor","date_created":"2020-08-21T13:20:57Z"},{"status":"public","volume":1963,"user_id":"15415","_id":"18146","publisher":"Springer","page":"450-458","citation":{"mla":"Ziegler, Martin, and Vasco Brattka. “Computing the Dimension of Linear Subspaces.” <i>SOFSEM 2000: Theory and Practice of Informatics</i>, vol. 1963, Springer, 2000, pp. 450–58, doi:<a href=\"https://doi.org/10.1007/3-540-44411-4_34\">10.1007/3-540-44411-4_34</a>.","apa":"Ziegler, M., &#38; Brattka, V. (2000). Computing the Dimension of Linear Subspaces. In <i>SOFSEM 2000: Theory and Practice of Informatics</i> (Vol. 1963, pp. 450–458). Berlin, Heidelberg: Springer. <a href=\"https://doi.org/10.1007/3-540-44411-4_34\">https://doi.org/10.1007/3-540-44411-4_34</a>","ieee":"M. Ziegler and V. Brattka, “Computing the Dimension of Linear Subspaces,” in <i>SOFSEM 2000: Theory and Practice of Informatics</i>, 2000, vol. 1963, pp. 450–458.","ama":"Ziegler M, Brattka V. Computing the Dimension of Linear Subspaces. In: <i>SOFSEM 2000: Theory and Practice of Informatics</i>. Vol 1963. Berlin, Heidelberg: Springer; 2000:450-458. doi:<a href=\"https://doi.org/10.1007/3-540-44411-4_34\">10.1007/3-540-44411-4_34</a>","short":"M. Ziegler, V. Brattka, in: SOFSEM 2000: Theory and Practice of Informatics, Springer, Berlin, Heidelberg, 2000, pp. 450–458.","chicago":"Ziegler, Martin, and Vasco Brattka. “Computing the Dimension of Linear Subspaces.” In <i>SOFSEM 2000: Theory and Practice of Informatics</i>, 1963:450–58. Berlin, Heidelberg: Springer, 2000. <a href=\"https://doi.org/10.1007/3-540-44411-4_34\">https://doi.org/10.1007/3-540-44411-4_34</a>.","bibtex":"@inproceedings{Ziegler_Brattka_2000, place={Berlin, Heidelberg}, title={Computing the Dimension of Linear Subspaces}, volume={1963}, DOI={<a href=\"https://doi.org/10.1007/3-540-44411-4_34\">10.1007/3-540-44411-4_34</a>}, booktitle={SOFSEM 2000: Theory and Practice of Informatics}, publisher={Springer}, author={Ziegler, Martin and Brattka, Vasco}, year={2000}, pages={450–458} }"},"place":"Berlin, Heidelberg","intvolume":"      1963","date_updated":"2022-01-06T06:53:26Z","publication_status":"published","author":[{"first_name":"Martin","last_name":"Ziegler","full_name":"Ziegler, Martin"},{"full_name":"Brattka, Vasco","last_name":"Brattka","first_name":"Vasco"}],"publication_identifier":{"issn":["0302-9743"],"isbn":["9783540413486","9783540444114"]},"year":"2000","title":"Computing the Dimension of Linear Subspaces","doi":"10.1007/3-540-44411-4_34","language":[{"iso":"eng"}],"abstract":[{"lang":"eng","text":"Since its very beginning, linear algebra is a highly algorithmic subject. Let us just mention the famous Gauss Algorithm which was invented before the theory of algorithms has been developed. The purpose of this paper is to link linear algebra explicitly to computable analysis, that is the theory of computable real number functions. Especially, we will investigate in which sense the dimension of a given linear subspace can be computed. The answer highly depends on how the linear subspace is given: if it is given by a finite number of vectors whose linear span represents the space, then the dimension does not depend continuously on these vectors and consequently it cannot be computed. If the linear subspace is represented via its distance function, which is a standard way to represent closed subspaces in computable analysis, then the dimension does computably depend on the distance function."}],"publication":"SOFSEM 2000: Theory and Practice of Informatics","department":[{"_id":"63"}],"type":"conference","date_created":"2020-08-24T09:58:56Z"},{"abstract":[{"lang":"eng","text":"What is the minimum number of hyperplanes that slice all edges of the d-dimensional hypercube? The answers have been known for d<=4.<br>This work settles the problem for d=5 and d=6. More precisely, a computer search implies that 4 hyperplanes do not suffice for this purpose (but 5 do).<br>We also develop computational approaches for attacking this extremal problem from combinatorial geometry in higher dimensions. They allow us to determine for example all maximal sliceable subsets of hypercube edges up to dimension 7."}],"citation":{"apa":"Ziegler, M., &#38; Sohler, C. (2000). Computing Cut Numbers. In <i>Proceedings of the 12th Canadian Conference on Computational Geometry (CCCG’00)</i> (pp. 73–79).","ieee":"M. Ziegler and C. Sohler, “Computing Cut Numbers,” in <i>Proceedings of the 12th Canadian Conference on Computational Geometry (CCCG’00)</i>, 2000, pp. 73–79.","chicago":"Ziegler, Martin, and Christian Sohler. “Computing Cut Numbers.” In <i>Proceedings of the 12th Canadian Conference on Computational Geometry (CCCG’00)</i>, 73–79, 2000.","short":"M. Ziegler, C. Sohler, in: Proceedings of the 12th Canadian Conference on Computational Geometry (CCCG’00), 2000, pp. 73–79.","mla":"Ziegler, Martin, and Christian Sohler. “Computing Cut Numbers.” <i>Proceedings of the 12th Canadian Conference on Computational Geometry (CCCG’00)</i>, 2000, pp. 73–79.","ama":"Ziegler M, Sohler C. Computing Cut Numbers. In: <i>Proceedings of the 12th Canadian Conference on Computational Geometry (CCCG’00)</i>. ; 2000:73-79.","bibtex":"@inproceedings{Ziegler_Sohler_2000, title={Computing Cut Numbers}, booktitle={Proceedings of the 12th Canadian Conference on Computational Geometry (CCCG’00)}, author={Ziegler, Martin and Sohler, Christian}, year={2000}, pages={73–79} }"},"publication":"Proceedings of the 12th Canadian Conference on Computational Geometry (CCCG'00)","department":[{"_id":"63"}],"type":"conference","date_created":"2020-08-24T10:10:40Z","date_updated":"2022-01-06T06:53:26Z","author":[{"full_name":"Ziegler, Martin","first_name":"Martin","last_name":"Ziegler"},{"first_name":"Christian","last_name":"Sohler","full_name":"Sohler, Christian"}],"status":"public","title":"Computing Cut Numbers","year":"2000","user_id":"15415","_id":"18150","language":[{"iso":"eng"}],"page":"73-79"},{"volume":45,"user_id":"15415","doi":"10.1145/355483.355490","_id":"18446","language":[{"iso":"eng"}],"page":"944-967","intvolume":"        45","date_updated":"2022-01-06T06:53:32Z","author":[{"full_name":"Lorys, Krzysztof","last_name":"Lorys","first_name":"Krzysztof"},{"full_name":"Wanka, Rolf","first_name":"Rolf","last_name":"Wanka"},{"full_name":"Oesterdiekhoff, Brigitte","first_name":"Brigitte","last_name":"Oesterdiekhoff"},{"last_name":"Kutylowski","first_name":"Miroslaw","full_name":"Kutylowski, Miroslaw"}],"title":"Periodification Scheme: Constructing Sorting Networks with Constant Period","year":"2000","status":"public","department":[{"_id":"63"}],"type":"journal_article","date_created":"2020-08-27T11:49:50Z","abstract":[{"lang":"eng","text":"We consider comparator networks M that are used repeatedly: while the output produced by M is not sorted, it is fed again into M. Sorting algorithms working in this way are called periodic. The number of parallel steps performed during a single run of M is called its period, the sorting time of M is the total number of parallel steps that are necessary to sort in the worst case. Periodic sorting networks have the advantage that they need little hardware (control logic, wiring, area) and that they are adaptive. We are interested in comparator networks of a constant period, due to their potential applications in hardware design.\r\n\r\nPreviously, very little was known on such networks. The fastest solutions required time O(nε) where the depth was roughly 1/ε. We introduce a general method called periodification scheme that converts automatically an arbitrary sorting network that sorts n items in time T(n) and that has layout area A(n) into a sorting network that has period 5, sorts ***(n • T(n) items in time O(T(<n)• log n), and has layout area O(A(n)) • T(n)). In particular, applying this scheme to Batcher's algorithms, we get practical period 5 comparator networks that sort in time O(log3n). For theoretical interest, one may use the AKS netork resulting in a period 5 comparator network with runtime O(log2n)."}],"citation":{"bibtex":"@article{Lorys_Wanka_Oesterdiekhoff_Kutylowski_2000, title={Periodification Scheme: Constructing Sorting Networks with Constant Period}, volume={45}, DOI={<a href=\"https://doi.org/10.1145/355483.355490\">10.1145/355483.355490</a>}, journal={Journal of the ACM}, author={Lorys, Krzysztof and Wanka, Rolf and Oesterdiekhoff, Brigitte and Kutylowski, Miroslaw}, year={2000}, pages={944–967} }","chicago":"Lorys, Krzysztof, Rolf Wanka, Brigitte Oesterdiekhoff, and Miroslaw Kutylowski. “Periodification Scheme: Constructing Sorting Networks with Constant Period.” <i>Journal of the ACM</i> 45 (2000): 944–67. <a href=\"https://doi.org/10.1145/355483.355490\">https://doi.org/10.1145/355483.355490</a>.","short":"K. 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(2000). Graph Transformation as a Conceptual and Formal Framework for System Modeling and Model Evolution. In <i>Proceedings of the 27th International Colloquium on Automata, Languages and Programming (ICALP 2000), Geneva (Switzerland)</i> (Vol. 1853, pp. 127–150). Berlin/Heidelberg: Springer. <a href=\"http://dx.doi.org/10.1007/3-540-45022-X_12\">http://dx.doi.org/10.1007/3-540-45022-X_12</a>","ieee":"G. Engels and R. Heckel, “Graph Transformation as a Conceptual and Formal Framework for System Modeling and Model Evolution,” in <i>Proceedings of the 27th International Colloquium on Automata, Languages and Programming (ICALP 2000), Geneva (Switzerland)</i>, 2000, vol. 1853, pp. 127–150."},"publication":"Proceedings of the 27th International Colloquium on Automata, Languages and Programming (ICALP 2000), Geneva (Switzerland)","language":[{"iso":"eng"}],"_id":"7872","series_title":"LNCS","publisher":"Springer","page":"127-150","volume":1853,"user_id":"52534","doi":"http://dx.doi.org/10.1007/3-540-45022-X_12","author":[{"id":"107","first_name":"Gregor","last_name":"Engels","full_name":"Engels, Gregor"},{"full_name":"Heckel, Reiko","first_name":"Reiko","last_name":"Heckel"}],"status":"public","title":"Graph Transformation as a Conceptual and Formal Framework for System Modeling and Model Evolution","year":"2000","intvolume":"      1853","date_updated":"2022-01-06T07:03:47Z"}]