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IEEE Press, 2007. <a href=\"https://doi.org/10.1109/SIS.2007.367953\">https://doi.org/10.1109/SIS.2007.367953</a>.","short":"M. Dorigo, H. Hamann, M. Szymanski, H. Wörn, Y. Shi, in: IEEE Swarm Intelligence Symposium, Honolulu, USA, April 1-5, IEEE Press, 2007, pp. 310--315.","apa":"Dorigo, M., Hamann, H., Szymanski, M., Wörn, H., &#38; Shi, Y. (2007). Orientation in a Trail Network by Exploiting its Geometry for Swarm Robotics. In <i>IEEE Swarm Intelligence Symposium, Honolulu, USA, April 1-5</i> (pp. 310--315). IEEE Press. <a href=\"https://doi.org/10.1109/SIS.2007.367953\">https://doi.org/10.1109/SIS.2007.367953</a>","ieee":"M. Dorigo, H. Hamann, M. Szymanski, H. Wörn, and Y. Shi, “Orientation in a Trail Network by Exploiting its Geometry for Swarm Robotics,” in <i>IEEE Swarm Intelligence Symposium, Honolulu, USA, April 1-5</i>, 2007, pp. 310--315.","ama":"Dorigo M, Hamann H, Szymanski M, Wörn H, Shi Y. Orientation in a Trail Network by Exploiting its Geometry for Swarm Robotics. In: <i>IEEE Swarm Intelligence Symposium, Honolulu, USA, April 1-5</i>. IEEE Press; 2007:310--315. doi:<a href=\"https://doi.org/10.1109/SIS.2007.367953\">10.1109/SIS.2007.367953</a>","bibtex":"@inproceedings{Dorigo_Hamann_Szymanski_Wörn_Shi_2007, title={Orientation in a Trail Network by Exploiting its Geometry for Swarm Robotics}, DOI={<a href=\"https://doi.org/10.1109/SIS.2007.367953\">10.1109/SIS.2007.367953</a>}, booktitle={IEEE Swarm Intelligence Symposium, Honolulu, USA, April 1-5}, publisher={IEEE Press}, author={Dorigo, Marco and Hamann, Heiko and Szymanski, Marc and Wörn, Heinz and Shi, Yuhui}, year={2007}, pages={310--315} }","mla":"Dorigo, Marco, et al. “Orientation in a Trail Network by Exploiting Its Geometry for Swarm Robotics.” <i>IEEE Swarm Intelligence Symposium, Honolulu, USA, April 1-5</i>, IEEE Press, 2007, pp. 310--315, doi:<a href=\"https://doi.org/10.1109/SIS.2007.367953\">10.1109/SIS.2007.367953</a>."},"type":"conference","department":[{"_id":"63"},{"_id":"238"}],"date_created":"2020-11-17T14:59:51Z","date_updated":"2022-01-06T06:54:26Z","status":"public","year":"2007","title":"Orientation in a Trail Network by Exploiting its Geometry for Swarm Robotics","author":[{"full_name":"Dorigo, Marco","first_name":"Marco","last_name":"Dorigo"},{"first_name":"Heiko","last_name":"Hamann","full_name":"Hamann, Heiko"},{"full_name":"Szymanski, Marc","first_name":"Marc","last_name":"Szymanski"},{"full_name":"Wörn, Heinz","first_name":"Heinz","last_name":"Wörn"},{"first_name":"Yuhui","last_name":"Shi","full_name":"Shi, Yuhui"}],"doi":"10.1109/SIS.2007.367953","user_id":"15415","page":"310--315","language":[{"iso":"eng"}],"_id":"20374","publisher":"IEEE Press"},{"date_created":"2020-11-18T12:43:47Z","external_id":{"pmid":["18053194"]},"department":[{"_id":"17"},{"_id":"172"}],"type":"journal_article","citation":{"apa":"Jäger, R., Purpura, M., Geiss, K., Weiß, M., Baumeister, J., Amatulli, F., … Herwegen, H. (2007). The effect of phosphatidylserine on golf performance. <i>J Int Soc Sports Nutr</i>, <i>4</i>, 23. <a href=\"https://doi.org/10.1186/1550-2783-4-23\">https://doi.org/10.1186/1550-2783-4-23</a>","ieee":"R. Jäger <i>et al.</i>, “The effect of phosphatidylserine on golf performance.,” <i>J Int Soc Sports Nutr</i>, vol. 4, p. 23, 2007.","short":"R. Jäger, M. Purpura, K. Geiss, M. Weiß, J. Baumeister, F. Amatulli, L. Schröder, H. Herwegen, J Int Soc Sports Nutr 4 (2007) 23.","chicago":"Jäger, R, M Purpura, KR Geiss, M Weiß, Jochen Baumeister, F Amatulli, L Schröder, and H Herwegen. “The Effect of Phosphatidylserine on Golf Performance.” <i>J Int Soc Sports Nutr</i> 4 (2007): 23. <a href=\"https://doi.org/10.1186/1550-2783-4-23\">https://doi.org/10.1186/1550-2783-4-23</a>.","mla":"Jäger, R., et al. “The Effect of Phosphatidylserine on Golf Performance.” <i>J Int Soc Sports Nutr</i>, vol. 4, 2007, p. 23, doi:<a href=\"https://doi.org/10.1186/1550-2783-4-23\">10.1186/1550-2783-4-23</a>.","ama":"Jäger R, Purpura M, Geiss K, et al. The effect of phosphatidylserine on golf performance. <i>J Int Soc Sports Nutr</i>. 2007;4:23. doi:<a href=\"https://doi.org/10.1186/1550-2783-4-23\">10.1186/1550-2783-4-23</a>","bibtex":"@article{Jäger_Purpura_Geiss_Weiß_Baumeister_Amatulli_Schröder_Herwegen_2007, title={The effect of phosphatidylserine on golf performance.}, volume={4}, DOI={<a href=\"https://doi.org/10.1186/1550-2783-4-23\">10.1186/1550-2783-4-23</a>}, journal={J Int Soc Sports Nutr}, author={Jäger, R and Purpura, M and Geiss, KR and Weiß, M and Baumeister, Jochen and Amatulli, F and Schröder, L and Herwegen, H}, year={2007}, pages={23} }"},"publication":"J Int Soc Sports Nutr","_id":"20383","language":[{"iso":"eng"}],"page":"23","volume":4,"doi":"10.1186/1550-2783-4-23","pmid":"1","user_id":"62406","author":[{"first_name":"R","last_name":"Jäger","full_name":"Jäger, R"},{"full_name":"Purpura, M","first_name":"M","last_name":"Purpura"},{"full_name":"Geiss, KR","last_name":"Geiss","first_name":"KR"},{"first_name":"M","last_name":"Weiß","full_name":"Weiß, M"},{"id":"46","last_name":"Baumeister","orcid":"0000-0003-2683-5826","first_name":"Jochen","full_name":"Baumeister, Jochen"},{"full_name":"Amatulli, F","first_name":"F","last_name":"Amatulli"},{"first_name":"L","last_name":"Schröder","full_name":"Schröder, L"},{"full_name":"Herwegen, H","first_name":"H","last_name":"Herwegen"}],"publication_identifier":{"issn":["1550-2783"]},"year":"2007","status":"public","title":"The effect of phosphatidylserine on golf performance.","intvolume":"         4","date_updated":"2022-01-06T06:54:26Z"},{"language":[{"iso":"eng"}],"_id":"20431","page":"43--55","volume":4433,"user_id":"15415","doi":"10.1007/978-3-540-71541-2_4","author":[{"full_name":"Hamann, Heiko","last_name":"Hamann","first_name":"Heiko"},{"full_name":"Wörn, Heinz","first_name":"Heinz","last_name":"Wörn"},{"last_name":"Sahin","first_name":"Erol","full_name":"Sahin, Erol"},{"full_name":"Spears, Winfield","first_name":"Winfield","last_name":"Spears"},{"full_name":"Winfield, Winfield","last_name":"Winfield","first_name":"Winfield"}],"status":"public","title":"An analytical and spatial model of foraging in a swarm of robots","year":"2007","intvolume":"      4433","date_updated":"2022-01-06T06:54:27Z","date_created":"2020-11-19T11:22:26Z","department":[{"_id":"63"},{"_id":"238"}],"type":"conference","citation":{"bibtex":"@inproceedings{Hamann_Wörn_Sahin_Spears_Winfield_2007, title={An analytical and spatial model of foraging in a swarm of robots}, volume={4433}, DOI={<a href=\"https://doi.org/10.1007/978-3-540-71541-2_4\">10.1007/978-3-540-71541-2_4</a>}, booktitle={Swarm Robotics - Second SAB 2006 International Workshop}, author={Hamann, Heiko and Wörn, Heinz and Sahin, Erol and Spears, Winfield and Winfield, Winfield}, year={2007}, pages={43--55} }","chicago":"Hamann, Heiko, Heinz Wörn, Erol Sahin, Winfield Spears, and Winfield Winfield. “An Analytical and Spatial Model of Foraging in a Swarm of Robots.” In <i>Swarm Robotics - Second SAB 2006 International Workshop</i>, 4433:43--55, 2007. <a href=\"https://doi.org/10.1007/978-3-540-71541-2_4\">https://doi.org/10.1007/978-3-540-71541-2_4</a>.","ama":"Hamann H, Wörn H, Sahin E, Spears W, Winfield W. An analytical and spatial model of foraging in a swarm of robots. In: <i>Swarm Robotics - Second SAB 2006 International Workshop</i>. Vol 4433. ; 2007:43--55. doi:<a href=\"https://doi.org/10.1007/978-3-540-71541-2_4\">10.1007/978-3-540-71541-2_4</a>","short":"H. Hamann, H. Wörn, E. Sahin, W. Spears, W. Winfield, in: Swarm Robotics - Second SAB 2006 International Workshop, 2007, pp. 43--55.","ieee":"H. Hamann, H. Wörn, E. Sahin, W. Spears, and W. Winfield, “An analytical and spatial model of foraging in a swarm of robots,” in <i>Swarm Robotics - Second SAB 2006 International Workshop</i>, 2007, vol. 4433, pp. 43--55.","mla":"Hamann, Heiko, et al. “An Analytical and Spatial Model of Foraging in a Swarm of Robots.” <i>Swarm Robotics - Second SAB 2006 International Workshop</i>, vol. 4433, 2007, pp. 43--55, doi:<a href=\"https://doi.org/10.1007/978-3-540-71541-2_4\">10.1007/978-3-540-71541-2_4</a>.","apa":"Hamann, H., Wörn, H., Sahin, E., Spears, W., &#38; Winfield, W. (2007). An analytical and spatial model of foraging in a swarm of robots. In <i>Swarm Robotics - Second SAB 2006 International Workshop</i> (Vol. 4433, pp. 43--55). <a href=\"https://doi.org/10.1007/978-3-540-71541-2_4\">https://doi.org/10.1007/978-3-540-71541-2_4</a>"},"publication":"Swarm Robotics - Second SAB 2006 International Workshop"},{"author":[{"first_name":"Heiko","last_name":"Hamann","full_name":"Hamann, Heiko"},{"full_name":"Wörn, Heinz","last_name":"Wörn","first_name":"Heinz"}],"publication_identifier":{"isbn":["0769529062"]},"status":"public","year":"2007","title":"A Space- and Time-Continuous Model of Self-Organizing Robot Swarms for Design Support","publication_status":"published","date_updated":"2022-01-06T06:54:27Z","_id":"20432","language":[{"iso":"eng"}],"page":"23--31","user_id":"15415","doi":"10.1109/saso.2007.3","citation":{"bibtex":"@inproceedings{Hamann_Wörn_2007, title={A Space- and Time-Continuous Model of Self-Organizing Robot Swarms for Design Support}, DOI={<a href=\"https://doi.org/10.1109/saso.2007.3\">10.1109/saso.2007.3</a>}, booktitle={First International Conference on Self-Adaptive and Self-Organizing Systems (SASO 2007)}, author={Hamann, Heiko and Wörn, Heinz}, year={2007}, pages={23--31} }","ama":"Hamann H, Wörn H. A Space- and Time-Continuous Model of Self-Organizing Robot Swarms for Design Support. In: <i>First International Conference on Self-Adaptive and Self-Organizing Systems (SASO 2007)</i>. ; 2007:23--31. doi:<a href=\"https://doi.org/10.1109/saso.2007.3\">10.1109/saso.2007.3</a>","mla":"Hamann, Heiko, and Heinz Wörn. “A Space- and Time-Continuous Model of Self-Organizing Robot Swarms for Design Support.” <i>First International Conference on Self-Adaptive and Self-Organizing Systems (SASO 2007)</i>, 2007, pp. 23--31, doi:<a href=\"https://doi.org/10.1109/saso.2007.3\">10.1109/saso.2007.3</a>.","chicago":"Hamann, Heiko, and Heinz Wörn. “A Space- and Time-Continuous Model of Self-Organizing Robot Swarms for Design Support.” In <i>First International Conference on Self-Adaptive and Self-Organizing Systems (SASO 2007)</i>, 23--31, 2007. <a href=\"https://doi.org/10.1109/saso.2007.3\">https://doi.org/10.1109/saso.2007.3</a>.","short":"H. Hamann, H. Wörn, in: First International Conference on Self-Adaptive and Self-Organizing Systems (SASO 2007), 2007, pp. 23--31.","ieee":"H. Hamann and H. Wörn, “A Space- and Time-Continuous Model of Self-Organizing Robot Swarms for Design Support,” in <i>First International Conference on Self-Adaptive and Self-Organizing Systems (SASO 2007)</i>, 2007, pp. 23--31.","apa":"Hamann, H., &#38; Wörn, H. (2007). A Space- and Time-Continuous Model of Self-Organizing Robot Swarms for Design Support. In <i>First International Conference on Self-Adaptive and Self-Organizing Systems (SASO 2007)</i> (pp. 23--31). <a href=\"https://doi.org/10.1109/saso.2007.3\">https://doi.org/10.1109/saso.2007.3</a>"},"publication":"First International Conference on Self-Adaptive and Self-Organizing Systems (SASO 2007)","abstract":[{"lang":"eng","text":"Designing and implementing artificial self-organizing systems is a challenging task since they typically behave non- intuitive and only little theoretical foundations exist. Predicting a system of many components with a huge amount of interactions is beyond human skills. The currently common use of simulations for design support is not satisfying, as it is time-consuming and the results are most likely sub- optimal. In this work, we present the derivation of an analytical, time-, and space-continuous model for a swarm of autonomous robots based on the Fokker-Planck equation. While the motion model is in most parts physically motivated, the communication model is based on a heuristic approach. A showcase application to a recently proposed scenario of collective perception in a huge swarm of robots with very limited abilities is given and the simulation results are compared to the model. Despite the high level of abstraction, the prediction discrepancies are small and the parameters can be mapped one-to-one from the model to the control algorithm. Finally, we give an outlook on the capabilities of the proposed model, discuss its limitations, and suggest an improvement that could reduce the number of empirically determined parameters."}],"date_created":"2020-11-19T11:24:11Z","department":[{"_id":"63"},{"_id":"238"}],"type":"conference"},{"citation":{"ama":"Hamann H, Wörn H, Nagy M, Nagy N. Embodied Computation. <i>Parallel Processing Letters</i>. 2007;17(3):287--298.","bibtex":"@article{Hamann_Wörn_Nagy_Nagy_2007, title={Embodied Computation}, volume={17}, number={3}, journal={Parallel Processing Letters}, author={Hamann, Heiko and Wörn, Heinz and Nagy, Marius and Nagy, Naya}, year={2007}, pages={287--298} }","mla":"Hamann, Heiko, et al. “Embodied Computation.” <i>Parallel Processing Letters</i>, vol. 17, no. 3, 2007, pp. 287--298.","chicago":"Hamann, Heiko, Heinz Wörn, Marius Nagy, and Naya Nagy. “Embodied Computation.” <i>Parallel Processing Letters</i> 17, no. 3 (2007): 287--298.","short":"H. Hamann, H. Wörn, M. Nagy, N. Nagy, Parallel Processing Letters 17 (2007) 287--298.","apa":"Hamann, H., Wörn, H., Nagy, M., &#38; Nagy, N. (2007). Embodied Computation. <i>Parallel Processing Letters</i>, <i>17</i>(3), 287--298.","ieee":"H. Hamann, H. Wörn, M. Nagy, and N. Nagy, “Embodied Computation,” <i>Parallel Processing Letters</i>, vol. 17, no. 3, pp. 287--298, 2007."},"issue":"3","publication":"Parallel Processing Letters","department":[{"_id":"63"},{"_id":"238"}],"type":"journal_article","date_created":"2020-11-19T11:32:32Z","intvolume":"        17","date_updated":"2022-01-06T06:54:27Z","author":[{"full_name":"Hamann, Heiko","first_name":"Heiko","last_name":"Hamann"},{"full_name":"Wörn, Heinz","last_name":"Wörn","first_name":"Heinz"},{"full_name":"Nagy, Marius","first_name":"Marius","last_name":"Nagy"},{"first_name":"Naya","last_name":"Nagy","full_name":"Nagy, Naya"}],"year":"2007","status":"public","title":"Embodied Computation","volume":17,"user_id":"15415","_id":"20433","language":[{"iso":"eng"}],"page":"287--298"},{"title":"From Micro to Nano and Swarm Robotics","status":"public","year":"2007","author":[{"first_name":"Heiko","last_name":"Hamann","full_name":"Hamann, Heiko"},{"full_name":"Szymanski, Marc","first_name":"Marc","last_name":"Szymanski"},{"first_name":"Heinz","last_name":"Wörn","full_name":"Wörn, Heinz"},{"last_name":"Estana","first_name":"Ramon","full_name":"Estana, Ramon"},{"full_name":"Xie, Ming","first_name":"Ming","last_name":"Xie"},{"full_name":"Dubowsky, Steven","last_name":"Dubowsky","first_name":"Steven"}],"date_updated":"2022-01-06T06:54:27Z","page":"15--24","language":[{"iso":"eng"}],"_id":"20434","user_id":"15415","doi":"10.1142/9789812770189_0003","publication":"Advances in Climbing and walking robots. Proceedings of 10th International Conference (CLAWAR'07), Singapore, July 16-18","citation":{"bibtex":"@inproceedings{Hamann_Szymanski_Wörn_Estana_Xie_Dubowsky_2007, title={From Micro to Nano and Swarm Robotics}, DOI={<a href=\"https://doi.org/10.1142/9789812770189_0003\">10.1142/9789812770189_0003</a>}, booktitle={Advances in Climbing and walking robots. Proceedings of 10th International Conference (CLAWAR’07), Singapore, July 16-18}, author={Hamann, Heiko and Szymanski, Marc and Wörn, Heinz and Estana, Ramon and Xie, Ming and Dubowsky, Steven}, year={2007}, pages={15--24} }","ama":"Hamann H, Szymanski M, Wörn H, Estana R, Xie M, Dubowsky S. From Micro to Nano and Swarm Robotics. In: <i>Advances in Climbing and Walking Robots. Proceedings of 10th International Conference (CLAWAR’07), Singapore, July 16-18</i>. ; 2007:15--24. doi:<a href=\"https://doi.org/10.1142/9789812770189_0003\">10.1142/9789812770189_0003</a>","mla":"Hamann, Heiko, et al. “From Micro to Nano and Swarm Robotics.” <i>Advances in Climbing and Walking Robots. Proceedings of 10th International Conference (CLAWAR’07), Singapore, July 16-18</i>, 2007, pp. 15--24, doi:<a href=\"https://doi.org/10.1142/9789812770189_0003\">10.1142/9789812770189_0003</a>.","short":"H. Hamann, M. Szymanski, H. Wörn, R. Estana, M. Xie, S. Dubowsky, in: Advances in Climbing and Walking Robots. Proceedings of 10th International Conference (CLAWAR’07), Singapore, July 16-18, 2007, pp. 15--24.","chicago":"Hamann, Heiko, Marc Szymanski, Heinz Wörn, Ramon Estana, Ming Xie, and Steven Dubowsky. “From Micro to Nano and Swarm Robotics.” In <i>Advances in Climbing and Walking Robots. Proceedings of 10th International Conference (CLAWAR’07), Singapore, July 16-18</i>, 15--24, 2007. <a href=\"https://doi.org/10.1142/9789812770189_0003\">https://doi.org/10.1142/9789812770189_0003</a>.","ieee":"H. Hamann, M. Szymanski, H. Wörn, R. Estana, M. Xie, and S. Dubowsky, “From Micro to Nano and Swarm Robotics,” in <i>Advances in Climbing and walking robots. Proceedings of 10th International Conference (CLAWAR’07), Singapore, July 16-18</i>, 2007, pp. 15--24.","apa":"Hamann, H., Szymanski, M., Wörn, H., Estana, R., Xie, M., &#38; Dubowsky, S. (2007). From Micro to Nano and Swarm Robotics. In <i>Advances in Climbing and walking robots. Proceedings of 10th International Conference (CLAWAR’07), Singapore, July 16-18</i> (pp. 15--24). <a href=\"https://doi.org/10.1142/9789812770189_0003\">https://doi.org/10.1142/9789812770189_0003</a>"},"abstract":[{"lang":"eng","text":"Current research in Micro, Nano and Swarm Robots as results of the European projects Miniman, MiCRoN and I-SWARM will be presented. First, the design and the control of 5 to 10cm3 sized mobile micro robots with five degrees of freedom will be shown. They can handle miniaturized parts as for example an optical component or a biological cell with a size in the micrometre-area with an accuracy of 100nm under a microscope or a raster-electron microscope. Second, the design and the control of a 1cm3-sized mobile untethered micro robot will be demonstrated. Here, the robot consists of five parts: the Piezzo locomotion module, the micro control unit, the communication unit, the navigation system and the micro gripper. The mobile robot can be guided and positioned in an arena with an accuracy of 5 micrometre and can be programmed and controlled over the wireless communication unit. Third, the design and the control of 3 × 3 × 3 mm3 sized micro-/nanorobots with 2 degrees of freedom will be presented. The transmission of energy and the communication between the robots is realized via infrared. The robot controller is fully integrated and has limited functionalities. Via basic sensors communication functions and elementary rules and behaviours the micro robot can act in a swarm consisting of hundreds and thousands of robots. Future applications could be monitoring-, inspection-, exploring-tasks etc. of big areas or objects."}],"date_created":"2020-11-19T11:37:49Z","type":"conference","department":[{"_id":"63"},{"_id":"238"}]},{"publication_identifier":{"issn":["1571-0661"]},"author":[{"last_name":"Ziegler","first_name":"Martin","full_name":"Ziegler, Martin"}],"title":"Revising Type-2 Computation and Degrees of Discontinuity","status":"public","year":"2007","publication_status":"published","date_updated":"2022-01-06T06:53:24Z","_id":"17980","language":[{"iso":"eng"}],"page":"255-274","user_id":"15415","doi":"10.1016/j.entcs.2006.08.015","citation":{"ieee":"M. Ziegler, “Revising Type-2 Computation and Degrees of Discontinuity,” <i>Electronic Notes in Theoretical Computer Science</i>, pp. 255–274, 2007.","apa":"Ziegler, M. (2007). Revising Type-2 Computation and Degrees of Discontinuity. <i>Electronic Notes in Theoretical Computer Science</i>, 255–274. <a href=\"https://doi.org/10.1016/j.entcs.2006.08.015\">https://doi.org/10.1016/j.entcs.2006.08.015</a>","chicago":"Ziegler, Martin. “Revising Type-2 Computation and Degrees of Discontinuity.” <i>Electronic Notes in Theoretical Computer Science</i>, 2007, 255–74. <a href=\"https://doi.org/10.1016/j.entcs.2006.08.015\">https://doi.org/10.1016/j.entcs.2006.08.015</a>.","short":"M. Ziegler, Electronic Notes in Theoretical Computer Science (2007) 255–274.","mla":"Ziegler, Martin. “Revising Type-2 Computation and Degrees of Discontinuity.” <i>Electronic Notes in Theoretical Computer Science</i>, 2007, pp. 255–74, doi:<a href=\"https://doi.org/10.1016/j.entcs.2006.08.015\">10.1016/j.entcs.2006.08.015</a>.","bibtex":"@article{Ziegler_2007, title={Revising Type-2 Computation and Degrees of Discontinuity}, DOI={<a href=\"https://doi.org/10.1016/j.entcs.2006.08.015\">10.1016/j.entcs.2006.08.015</a>}, journal={Electronic Notes in Theoretical Computer Science}, author={Ziegler, Martin}, year={2007}, pages={255–274} }","ama":"Ziegler M. Revising Type-2 Computation and Degrees of Discontinuity. <i>Electronic Notes in Theoretical Computer Science</i>. 2007:255-274. doi:<a href=\"https://doi.org/10.1016/j.entcs.2006.08.015\">10.1016/j.entcs.2006.08.015</a>"},"publication":"Electronic Notes in Theoretical Computer Science","date_created":"2020-08-14T13:30:00Z","department":[{"_id":"63"}],"type":"journal_article"},{"user_id":"15415","doi":"10.1007/s00224-006-1343-6","language":[{"iso":"eng"}],"_id":"17981","page":"177-206","publication_status":"published","date_updated":"2022-01-06T06:53:24Z","author":[{"full_name":"Ziegler, Martin","first_name":"Martin","last_name":"Ziegler"}],"publication_identifier":{"issn":["1432-4350","1433-0490"]},"title":"Real Hypercomputation and Continuity","status":"public","year":"2007","department":[{"_id":"63"}],"type":"journal_article","date_created":"2020-08-14T13:32:37Z","citation":{"apa":"Ziegler, M. (2007). Real Hypercomputation and Continuity. <i>Theory of Computing Systems</i>, 177–206. <a href=\"https://doi.org/10.1007/s00224-006-1343-6\">https://doi.org/10.1007/s00224-006-1343-6</a>","mla":"Ziegler, Martin. “Real Hypercomputation and Continuity.” <i>Theory of Computing Systems</i>, 2007, pp. 177–206, doi:<a href=\"https://doi.org/10.1007/s00224-006-1343-6\">10.1007/s00224-006-1343-6</a>.","ieee":"M. Ziegler, “Real Hypercomputation and Continuity,” <i>Theory of Computing Systems</i>, pp. 177–206, 2007.","chicago":"Ziegler, Martin. “Real Hypercomputation and Continuity.” <i>Theory of Computing Systems</i>, 2007, 177–206. <a href=\"https://doi.org/10.1007/s00224-006-1343-6\">https://doi.org/10.1007/s00224-006-1343-6</a>.","short":"M. Ziegler, Theory of Computing Systems (2007) 177–206.","ama":"Ziegler M. Real Hypercomputation and Continuity. <i>Theory of Computing Systems</i>. 2007:177-206. doi:<a href=\"https://doi.org/10.1007/s00224-006-1343-6\">10.1007/s00224-006-1343-6</a>","bibtex":"@article{Ziegler_2007, title={Real Hypercomputation and Continuity}, DOI={<a href=\"https://doi.org/10.1007/s00224-006-1343-6\">10.1007/s00224-006-1343-6</a>}, journal={Theory of Computing Systems}, author={Ziegler, Martin}, year={2007}, pages={177–206} }"},"publication":"Theory of Computing Systems"},{"place":"Berlin, Heidelberg","date_created":"2020-08-14T13:33:50Z","type":"book_chapter","department":[{"_id":"63"}],"publication":"Lecture Notes in Computer Science","citation":{"bibtex":"@inbook{Ziegler_2007, place={Berlin, Heidelberg}, title={(Short) Survey of Real Hypercomputation}, DOI={<a href=\"https://doi.org/10.1007/978-3-540-73001-9_86\">10.1007/978-3-540-73001-9_86</a>}, booktitle={Lecture Notes in Computer Science}, author={Ziegler, Martin}, year={2007} }","ama":"Ziegler M. (Short) Survey of Real Hypercomputation. In: <i>Lecture Notes in Computer Science</i>. Berlin, Heidelberg; 2007. doi:<a href=\"https://doi.org/10.1007/978-3-540-73001-9_86\">10.1007/978-3-540-73001-9_86</a>","mla":"Ziegler, Martin. “(Short) Survey of Real Hypercomputation.” <i>Lecture Notes in Computer Science</i>, 2007, doi:<a href=\"https://doi.org/10.1007/978-3-540-73001-9_86\">10.1007/978-3-540-73001-9_86</a>.","chicago":"Ziegler, Martin. “(Short) Survey of Real Hypercomputation.” In <i>Lecture Notes in Computer Science</i>. Berlin, Heidelberg, 2007. <a href=\"https://doi.org/10.1007/978-3-540-73001-9_86\">https://doi.org/10.1007/978-3-540-73001-9_86</a>.","short":"M. Ziegler, in: Lecture Notes in Computer Science, Berlin, Heidelberg, 2007.","ieee":"M. Ziegler, “(Short) Survey of Real Hypercomputation,” in <i>Lecture Notes in Computer Science</i>, Berlin, Heidelberg, 2007.","apa":"Ziegler, M. (2007). (Short) Survey of Real Hypercomputation. In <i>Lecture Notes in Computer Science</i>. Berlin, Heidelberg. <a href=\"https://doi.org/10.1007/978-3-540-73001-9_86\">https://doi.org/10.1007/978-3-540-73001-9_86</a>"},"_id":"17982","language":[{"iso":"eng"}],"doi":"10.1007/978-3-540-73001-9_86","user_id":"15415","title":"(Short) Survey of Real Hypercomputation","status":"public","year":"2007","publication_identifier":{"issn":["0302-9743","1611-3349"],"isbn":["9783540730002","9783540730019"]},"author":[{"full_name":"Ziegler, Martin","first_name":"Martin","last_name":"Ziegler"}],"date_updated":"2022-01-06T06:53:24Z","publication_status":"published"},{"place":"Berlin, Heidelberg","date_created":"2020-08-14T13:35:56Z","department":[{"_id":"63"}],"type":"book_chapter","citation":{"bibtex":"@inbook{Meer_Ziegler_2007, place={Berlin, Heidelberg}, title={Real Computational Universality: The Word Problem for a Class of Groups with Infinite Presentation}, DOI={<a href=\"https://doi.org/10.1007/978-3-540-74456-6_64\">10.1007/978-3-540-74456-6_64</a>}, booktitle={Mathematical Foundations of Computer Science 2007}, author={Meer, Klaus and Ziegler, Martin}, year={2007} }","ama":"Meer K, Ziegler M. Real Computational Universality: The Word Problem for a Class of Groups with Infinite Presentation. In: <i>Mathematical Foundations of Computer Science 2007</i>. Berlin, Heidelberg; 2007. doi:<a href=\"https://doi.org/10.1007/978-3-540-74456-6_64\">10.1007/978-3-540-74456-6_64</a>","mla":"Meer, Klaus, and Martin Ziegler. “Real Computational Universality: The Word Problem for a Class of Groups with Infinite Presentation.” <i>Mathematical Foundations of Computer Science 2007</i>, 2007, doi:<a href=\"https://doi.org/10.1007/978-3-540-74456-6_64\">10.1007/978-3-540-74456-6_64</a>.","short":"K. Meer, M. Ziegler, in: Mathematical Foundations of Computer Science 2007, Berlin, Heidelberg, 2007.","chicago":"Meer, Klaus, and Martin Ziegler. “Real Computational Universality: The Word Problem for a Class of Groups with Infinite Presentation.” In <i>Mathematical Foundations of Computer Science 2007</i>. Berlin, Heidelberg, 2007. <a href=\"https://doi.org/10.1007/978-3-540-74456-6_64\">https://doi.org/10.1007/978-3-540-74456-6_64</a>.","ieee":"K. Meer and M. Ziegler, “Real Computational Universality: The Word Problem for a Class of Groups with Infinite Presentation,” in <i>Mathematical Foundations of Computer Science 2007</i>, Berlin, Heidelberg, 2007.","apa":"Meer, K., &#38; Ziegler, M. (2007). Real Computational Universality: The Word Problem for a Class of Groups with Infinite Presentation. In <i>Mathematical Foundations of Computer Science 2007</i>. Berlin, Heidelberg. <a href=\"https://doi.org/10.1007/978-3-540-74456-6_64\">https://doi.org/10.1007/978-3-540-74456-6_64</a>"},"publication":"Mathematical Foundations of Computer Science 2007","_id":"17983","language":[{"iso":"eng"}],"doi":"10.1007/978-3-540-74456-6_64","user_id":"15415","publication_identifier":{"isbn":["9783540744559","9783540744566"],"issn":["0302-9743","1611-3349"]},"author":[{"first_name":"Klaus","last_name":"Meer","full_name":"Meer, Klaus"},{"first_name":"Martin","last_name":"Ziegler","full_name":"Ziegler, Martin"}],"title":"Real Computational Universality: The Word Problem for a Class of Groups with Infinite Presentation","year":"2007","status":"public","date_updated":"2022-01-06T06:53:24Z","publication_status":"published"},{"department":[{"_id":"63"}],"type":"preprint","date_created":"2020-08-14T13:36:55Z","abstract":[{"text":"The unit cost model is both convenient and largely realistic for describing\r\ninteger decision algorithms over (+,*). Additional operations like division\r\nwith remainder or bitwise conjunction, although equally supported by computing\r\nhardware, may lead to a considerable drop in complexity. We show a variety of\r\nconcrete problems to benefit from such NON-arithmetic primitives by presenting\r\nand analyzing corresponding fast algorithms.","lang":"eng"}],"citation":{"short":"K. Lürwer-Brüggemeier, M. Ziegler, ArXiv:0709.0624 (2007).","chicago":"Lürwer-Brüggemeier, Katharina, and Martin Ziegler. “On Faster Integer Calculations Using Non-Arithmetic Primitives.” <i>ArXiv:0709.0624</i>, 2007.","apa":"Lürwer-Brüggemeier, K., &#38; Ziegler, M. (2007). On Faster Integer Calculations using Non-Arithmetic Primitives. <i>ArXiv:0709.0624</i>.","ieee":"K. Lürwer-Brüggemeier and M. Ziegler, “On Faster Integer Calculations using Non-Arithmetic Primitives,” <i>arXiv:0709.0624</i>. 2007.","ama":"Lürwer-Brüggemeier K, Ziegler M. On Faster Integer Calculations using Non-Arithmetic Primitives. <i>arXiv:07090624</i>. 2007.","bibtex":"@article{Lürwer-Brüggemeier_Ziegler_2007, title={On Faster Integer Calculations using Non-Arithmetic Primitives}, journal={arXiv:0709.0624}, author={Lürwer-Brüggemeier, Katharina and Ziegler, Martin}, year={2007} }","mla":"Lürwer-Brüggemeier, Katharina, and Martin Ziegler. “On Faster Integer Calculations Using Non-Arithmetic Primitives.” <i>ArXiv:0709.0624</i>, 2007."},"publication":"arXiv:0709.0624","user_id":"15415","_id":"17984","language":[{"iso":"eng"}],"date_updated":"2022-01-06T06:53:24Z","author":[{"first_name":"Katharina","last_name":"Lürwer-Brüggemeier","full_name":"Lürwer-Brüggemeier, Katharina"},{"last_name":"Ziegler","first_name":"Martin","full_name":"Ziegler, Martin"}],"title":"On Faster Integer Calculations using Non-Arithmetic Primitives","year":"2007","status":"public"}]