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In <i>Handbuch Industrie 4.0: Produktion, Automatisierung und Logistik</i> (pp. 1–21). Berlin Heidelberg: Springer. <a href=\"https://doi.org/10.1007/978-3-662-45537-1_19-1\">https://doi.org/10.1007/978-3-662-45537-1_19-1</a>","ama":"Klemp E, Pottebaum J. Kapitel: Additive Fertigungsverfahren im Kontext von Industrie 4.0. In: <i>Handbuch Industrie 4.0: Produktion, Automatisierung und Logistik</i>. Berlin Heidelberg: Springer; 2016:1-21. doi:<a href=\"https://doi.org/10.1007/978-3-662-45537-1_19-1\">10.1007/978-3-662-45537-1_19-1</a>","ieee":"E. Klemp and J. Pottebaum, “Kapitel: Additive Fertigungsverfahren im Kontext von Industrie 4.0,” in <i>Handbuch Industrie 4.0: Produktion, Automatisierung und Logistik</i>, Berlin Heidelberg: Springer, 2016, pp. 1–21.","chicago":"Klemp, Eric, and Jens Pottebaum. “Kapitel: Additive Fertigungsverfahren im Kontext von Industrie 4.0.” In <i>Handbuch Industrie 4.0: Produktion, Automatisierung und Logistik</i>, 1–21. Berlin Heidelberg: Springer, 2016. <a href=\"https://doi.org/10.1007/978-3-662-45537-1_19-1\">https://doi.org/10.1007/978-3-662-45537-1_19-1</a>."},"page":"1-21","place":"Berlin Heidelberg","year":"2016","date_created":"2021-08-31T12:39:53Z","author":[{"last_name":"Klemp","full_name":"Klemp, Eric","first_name":"Eric"},{"first_name":"Jens","orcid":"http://orcid.org/0000-0001-8778-2989","last_name":"Pottebaum","full_name":"Pottebaum, Jens","id":"405"}],"date_updated":"2022-01-06T06:55:57Z","publisher":"Springer","doi":"10.1007/978-3-662-45537-1_19-1","title":"Kapitel: Additive Fertigungsverfahren im Kontext von Industrie 4.0"},{"_id":"23596","user_id":"65425","language":[{"iso":"eng"}],"type":"journal_article","publication":"Journal of Computational Chemistry","status":"public","date_updated":"2022-01-06T06:55:57Z","author":[{"full_name":"Köster, Andreas","last_name":"Köster","first_name":"Andreas"},{"first_name":"Thomas","last_name":"Spura","full_name":"Spura, Thomas"},{"full_name":"Rutkai, Gábor","last_name":"Rutkai","first_name":"Gábor"},{"last_name":"Kessler","full_name":"Kessler, Jan","first_name":"Jan"},{"last_name":"Wiebeler","full_name":"Wiebeler, Hendrik","first_name":"Hendrik"},{"first_name":"Jadran","last_name":"Vrabec","full_name":"Vrabec, Jadran"},{"first_name":"Thomas D.","full_name":"Kühne, Thomas D.","last_name":"Kühne"}],"date_created":"2021-09-01T09:03:14Z","title":"Assessing the accuracy of improved force-matched water models derived fromAb initiomolecular dynamics simulations","doi":"10.1002/jcc.24398","publication_status":"published","publication_identifier":{"issn":["0192-8651"]},"year":"2016","citation":{"apa":"Köster, A., Spura, T., Rutkai, G., Kessler, J., Wiebeler, H., Vrabec, J., &#38; Kühne, T. D. (2016). Assessing the accuracy of improved force-matched water models derived fromAb initiomolecular dynamics simulations. <i>Journal of Computational Chemistry</i>, 1828–1838. <a href=\"https://doi.org/10.1002/jcc.24398\">https://doi.org/10.1002/jcc.24398</a>","short":"A. Köster, T. Spura, G. Rutkai, J. Kessler, H. Wiebeler, J. Vrabec, T.D. Kühne, Journal of Computational Chemistry (2016) 1828–1838.","bibtex":"@article{Köster_Spura_Rutkai_Kessler_Wiebeler_Vrabec_Kühne_2016, title={Assessing the accuracy of improved force-matched water models derived fromAb initiomolecular dynamics simulations}, DOI={<a href=\"https://doi.org/10.1002/jcc.24398\">10.1002/jcc.24398</a>}, journal={Journal of Computational Chemistry}, author={Köster, Andreas and Spura, Thomas and Rutkai, Gábor and Kessler, Jan and Wiebeler, Hendrik and Vrabec, Jadran and Kühne, Thomas D.}, year={2016}, pages={1828–1838} }","mla":"Köster, Andreas, et al. “Assessing the Accuracy of Improved Force-Matched Water Models Derived FromAb Initiomolecular Dynamics Simulations.” <i>Journal of Computational Chemistry</i>, 2016, pp. 1828–38, doi:<a href=\"https://doi.org/10.1002/jcc.24398\">10.1002/jcc.24398</a>.","ama":"Köster A, Spura T, Rutkai G, et al. Assessing the accuracy of improved force-matched water models derived fromAb initiomolecular dynamics simulations. <i>Journal of Computational Chemistry</i>. 2016:1828-1838. doi:<a href=\"https://doi.org/10.1002/jcc.24398\">10.1002/jcc.24398</a>","chicago":"Köster, Andreas, Thomas Spura, Gábor Rutkai, Jan Kessler, Hendrik Wiebeler, Jadran Vrabec, and Thomas D. Kühne. “Assessing the Accuracy of Improved Force-Matched Water Models Derived FromAb Initiomolecular Dynamics Simulations.” <i>Journal of Computational Chemistry</i>, 2016, 1828–38. <a href=\"https://doi.org/10.1002/jcc.24398\">https://doi.org/10.1002/jcc.24398</a>.","ieee":"A. Köster <i>et al.</i>, “Assessing the accuracy of improved force-matched water models derived fromAb initiomolecular dynamics simulations,” <i>Journal of Computational Chemistry</i>, pp. 1828–1838, 2016."},"page":"1828-1838"},{"status":"public","publication":"Physical Review Letters","type":"journal_article","language":[{"iso":"eng"}],"department":[{"_id":"633"}],"user_id":"84268","_id":"23631","page":"256102","intvolume":"       117","citation":{"ama":"Fukuto M, Ocko BM, Bonthuis DJ, et al. Nanoscale Structure of the Oil-Water Interface. <i>Physical Review Letters</i>. 2016;117:256102. doi:<a href=\"https://doi.org/10.1103/physrevlett.117.256102\">10.1103/physrevlett.117.256102</a>","ieee":"M. Fukuto <i>et al.</i>, “Nanoscale Structure of the Oil-Water Interface,” <i>Physical Review Letters</i>, vol. 117, p. 256102, 2016, doi: <a href=\"https://doi.org/10.1103/physrevlett.117.256102\">10.1103/physrevlett.117.256102</a>.","chicago":"Fukuto, M., B. M. Ocko, D. J. Bonthuis, R. R. Netz, Hans-Georg Steinrück, D. Pontoni, I. Kuzmenko, J. Haddad, and M. Deutsch. “Nanoscale Structure of the Oil-Water Interface.” <i>Physical Review Letters</i> 117 (2016): 256102. <a href=\"https://doi.org/10.1103/physrevlett.117.256102\">https://doi.org/10.1103/physrevlett.117.256102</a>.","apa":"Fukuto, M., Ocko, B. M., Bonthuis, D. J., Netz, R. R., Steinrück, H.-G., Pontoni, D., Kuzmenko, I., Haddad, J., &#38; Deutsch, M. (2016). Nanoscale Structure of the Oil-Water Interface. <i>Physical Review Letters</i>, <i>117</i>, 256102. <a href=\"https://doi.org/10.1103/physrevlett.117.256102\">https://doi.org/10.1103/physrevlett.117.256102</a>","mla":"Fukuto, M., et al. “Nanoscale Structure of the Oil-Water Interface.” <i>Physical Review Letters</i>, vol. 117, 2016, p. 256102, doi:<a href=\"https://doi.org/10.1103/physrevlett.117.256102\">10.1103/physrevlett.117.256102</a>.","short":"M. Fukuto, B.M. Ocko, D.J. Bonthuis, R.R. Netz, H.-G. Steinrück, D. Pontoni, I. Kuzmenko, J. Haddad, M. Deutsch, Physical Review Letters 117 (2016) 256102.","bibtex":"@article{Fukuto_Ocko_Bonthuis_Netz_Steinrück_Pontoni_Kuzmenko_Haddad_Deutsch_2016, title={Nanoscale Structure of the Oil-Water Interface}, volume={117}, DOI={<a href=\"https://doi.org/10.1103/physrevlett.117.256102\">10.1103/physrevlett.117.256102</a>}, journal={Physical Review Letters}, author={Fukuto, M. and Ocko, B. M. and Bonthuis, D. J. and Netz, R. R. and Steinrück, Hans-Georg and Pontoni, D. and Kuzmenko, I. and Haddad, J. and Deutsch, M.}, year={2016}, pages={256102} }"},"year":"2016","publication_identifier":{"issn":["0031-9007","1079-7114"]},"publication_status":"published","doi":"10.1103/physrevlett.117.256102","title":"Nanoscale Structure of the Oil-Water Interface","volume":117,"date_created":"2021-09-01T09:47:53Z","author":[{"first_name":"M.","last_name":"Fukuto","full_name":"Fukuto, M."},{"first_name":"B. M.","full_name":"Ocko, B. M.","last_name":"Ocko"},{"last_name":"Bonthuis","full_name":"Bonthuis, D. J.","first_name":"D. J."},{"last_name":"Netz","full_name":"Netz, R. R.","first_name":"R. R."},{"first_name":"Hans-Georg","id":"84268","full_name":"Steinrück, Hans-Georg","orcid":"0000-0001-6373-0877","last_name":"Steinrück"},{"first_name":"D.","full_name":"Pontoni, D.","last_name":"Pontoni"},{"full_name":"Kuzmenko, I.","last_name":"Kuzmenko","first_name":"I."},{"first_name":"J.","last_name":"Haddad","full_name":"Haddad, J."},{"full_name":"Deutsch, M.","last_name":"Deutsch","first_name":"M."}],"date_updated":"2022-01-06T06:55:57Z"},{"type":"journal_article","publication":"Nano Letters","status":"public","_id":"23632","user_id":"84268","department":[{"_id":"633"}],"language":[{"iso":"eng"}],"publication_status":"published","publication_identifier":{"issn":["1530-6984","1530-6992"]},"year":"2016","citation":{"mla":"Cao, Chuntian, et al. “In Situ Study of Silicon Electrode Lithiation with X-Ray Reflectivity.” <i>Nano Letters</i>, vol. 16, 2016, pp. 7394–401, doi:<a href=\"https://doi.org/10.1021/acs.nanolett.6b02926\">10.1021/acs.nanolett.6b02926</a>.","bibtex":"@article{Cao_Steinrück_Shyam_Stone_Toney_2016, title={In Situ Study of Silicon Electrode Lithiation with X-ray Reflectivity}, volume={16}, DOI={<a href=\"https://doi.org/10.1021/acs.nanolett.6b02926\">10.1021/acs.nanolett.6b02926</a>}, journal={Nano Letters}, author={Cao, Chuntian and Steinrück, Hans-Georg and Shyam, Badri and Stone, Kevin H. and Toney, Michael F.}, year={2016}, pages={7394–7401} }","short":"C. Cao, H.-G. Steinrück, B. Shyam, K.H. Stone, M.F. Toney, Nano Letters 16 (2016) 7394–7401.","apa":"Cao, C., Steinrück, H.-G., Shyam, B., Stone, K. H., &#38; Toney, M. F. (2016). In Situ Study of Silicon Electrode Lithiation with X-ray Reflectivity. <i>Nano Letters</i>, <i>16</i>, 7394–7401. <a href=\"https://doi.org/10.1021/acs.nanolett.6b02926\">https://doi.org/10.1021/acs.nanolett.6b02926</a>","ama":"Cao C, Steinrück H-G, Shyam B, Stone KH, Toney MF. In Situ Study of Silicon Electrode Lithiation with X-ray Reflectivity. <i>Nano Letters</i>. 2016;16:7394-7401. doi:<a href=\"https://doi.org/10.1021/acs.nanolett.6b02926\">10.1021/acs.nanolett.6b02926</a>","ieee":"C. Cao, H.-G. Steinrück, B. Shyam, K. H. Stone, and M. F. Toney, “In Situ Study of Silicon Electrode Lithiation with X-ray Reflectivity,” <i>Nano Letters</i>, vol. 16, pp. 7394–7401, 2016, doi: <a href=\"https://doi.org/10.1021/acs.nanolett.6b02926\">10.1021/acs.nanolett.6b02926</a>.","chicago":"Cao, Chuntian, Hans-Georg Steinrück, Badri Shyam, Kevin H. Stone, and Michael F. Toney. “In Situ Study of Silicon Electrode Lithiation with X-Ray Reflectivity.” <i>Nano Letters</i> 16 (2016): 7394–7401. <a href=\"https://doi.org/10.1021/acs.nanolett.6b02926\">https://doi.org/10.1021/acs.nanolett.6b02926</a>."},"page":"7394-7401","intvolume":"        16","date_updated":"2022-01-06T06:55:57Z","date_created":"2021-09-01T09:48:01Z","author":[{"first_name":"Chuntian","last_name":"Cao","full_name":"Cao, Chuntian"},{"first_name":"Hans-Georg","id":"84268","full_name":"Steinrück, Hans-Georg","orcid":"0000-0001-6373-0877","last_name":"Steinrück"},{"first_name":"Badri","last_name":"Shyam","full_name":"Shyam, Badri"},{"full_name":"Stone, Kevin H.","last_name":"Stone","first_name":"Kevin H."},{"first_name":"Michael F.","full_name":"Toney, Michael F.","last_name":"Toney"}],"volume":16,"title":"In Situ Study of Silicon Electrode Lithiation with X-ray Reflectivity","doi":"10.1021/acs.nanolett.6b02926"},{"status":"public","abstract":[{"text":"One of the most popular fuzzy clustering techniques is the fuzzy K-means algorithm (also known as fuzzy-c-means or FCM algorithm). In contrast to the K-means and K-median problem, the underlying fuzzy K-means problem has not been studied from a theoretical point of view. In particular, there are no algorithms with approximation guarantees similar to the famous K-means++ algorithm known for the fuzzy K-means problem. This work initiates the study of the fuzzy K-means problem from an algorithmic and complexity theoretic perspective. We show that optimal solutions for the fuzzy K-means problem cannot, in general, be expressed by radicals over the input points. Surprisingly, this already holds for simple inputs in one-dimensional space. Hence, one cannot expect to compute optimal solutions exactly. We give the first (1+eps)-approximation algorithms for the fuzzy K-means problem. First, we present a deterministic approximation algorithm whose runtime is polynomial in N and linear in the dimension D of the input set, given that K is constant, i.e. a polynomial time approximation scheme (PTAS) for fixed K. We achieve this result by showing that for each soft clustering there exists a hard clustering with similar properties. Second, by using techniques known from coreset constructions for the K-means problem, we develop a deterministic approximation algorithm that runs in time almost linear in N but exponential in the dimension D. We complement these results with a randomized algorithm which imposes some natural restrictions on the sought solution and whose runtime is comparable to some of the most efficient approximation algorithms for K-means, i.e. linear in the number of points and the dimension, but exponential in the number of clusters.","lang":"eng"}],"publication":"2016 IEEE 16th International Conference on Data Mining (ICDM)","type":"conference","language":[{"iso":"eng"}],"keyword":["unsolvability by radicals","clustering","fuzzy k-means","probabilistic method","approximation algorithms","randomized algorithms"],"department":[{"_id":"64"}],"user_id":"25078","_id":"2367","page":"805-810","citation":{"apa":"Blömer, J., Brauer, S., &#38; Bujna, K. (2016). A Theoretical Analysis of the Fuzzy K-Means Problem. In <i>2016 IEEE 16th International Conference on Data Mining (ICDM)</i> (pp. 805–810). Barcelona, Spain: IEEE. <a href=\"https://doi.org/10.1109/icdm.2016.0094\">https://doi.org/10.1109/icdm.2016.0094</a>","short":"J. Blömer, S. Brauer, K. Bujna, in: 2016 IEEE 16th International Conference on Data Mining (ICDM), IEEE, 2016, pp. 805–810.","mla":"Blömer, Johannes, et al. “A Theoretical Analysis of the Fuzzy K-Means Problem.” <i>2016 IEEE 16th International Conference on Data Mining (ICDM)</i>, IEEE, 2016, pp. 805–10, doi:<a href=\"https://doi.org/10.1109/icdm.2016.0094\">10.1109/icdm.2016.0094</a>.","bibtex":"@inproceedings{Blömer_Brauer_Bujna_2016, title={A Theoretical Analysis of the Fuzzy K-Means Problem}, DOI={<a href=\"https://doi.org/10.1109/icdm.2016.0094\">10.1109/icdm.2016.0094</a>}, booktitle={2016 IEEE 16th International Conference on Data Mining (ICDM)}, publisher={IEEE}, author={Blömer, Johannes and Brauer, Sascha and Bujna, Kathrin}, year={2016}, pages={805–810} }","chicago":"Blömer, Johannes, Sascha Brauer, and Kathrin Bujna. “A Theoretical Analysis of the Fuzzy K-Means Problem.” In <i>2016 IEEE 16th International Conference on Data Mining (ICDM)</i>, 805–10. IEEE, 2016. <a href=\"https://doi.org/10.1109/icdm.2016.0094\">https://doi.org/10.1109/icdm.2016.0094</a>.","ieee":"J. Blömer, S. Brauer, and K. Bujna, “A Theoretical Analysis of the Fuzzy K-Means Problem,” in <i>2016 IEEE 16th International Conference on Data Mining (ICDM)</i>, Barcelona, Spain, 2016, pp. 805–810.","ama":"Blömer J, Brauer S, Bujna K. A Theoretical Analysis of the Fuzzy K-Means Problem. In: <i>2016 IEEE 16th International Conference on Data Mining (ICDM)</i>. IEEE; 2016:805-810. doi:<a href=\"https://doi.org/10.1109/icdm.2016.0094\">10.1109/icdm.2016.0094</a>"},"year":"2016","publication_identifier":{"isbn":["9781509054732"]},"publication_status":"published","doi":"10.1109/icdm.2016.0094","conference":{"end_date":"2016-12-15","location":"Barcelona, Spain","name":"IEEE 16th International Conference on Data Mining (ICDM)","start_date":"2016-12-12"},"title":"A Theoretical Analysis of the Fuzzy K-Means Problem","author":[{"first_name":"Johannes","last_name":"Blömer","full_name":"Blömer, Johannes","id":"23"},{"first_name":"Sascha","last_name":"Brauer","full_name":"Brauer, Sascha","id":"13291"},{"full_name":"Bujna, Kathrin","last_name":"Bujna","first_name":"Kathrin"}],"date_created":"2018-04-17T11:46:07Z","date_updated":"2022-01-06T06:55:58Z","publisher":"IEEE"},{"publication_status":"published","citation":{"short":"S. Lammers, F. Quattrone, R. Mrozek, Machbarkeitsstudie 3D Druck Elektromotoren, Forschungsvereinigung Antriebstechnik e.V., 2016.","mla":"Lammers, Stefan, et al. <i>Machbarkeitsstudie 3D Druck Elektromotoren</i>. Forschungsvereinigung Antriebstechnik e.V., 2016.","bibtex":"@book{Lammers_Quattrone_Mrozek_2016, series={FVA Abschlussbericht }, title={Machbarkeitsstudie 3D Druck Elektromotoren}, volume={Nr. 1189}, publisher={Forschungsvereinigung Antriebstechnik e.V.}, author={Lammers, Stefan and Quattrone, Francesco and Mrozek, Rafael}, year={2016}, collection={FVA Abschlussbericht } }","apa":"Lammers, S., Quattrone, F., &#38; Mrozek, R. (2016). <i>Machbarkeitsstudie 3D Druck Elektromotoren: Vol. Nr. 1189</i>. Forschungsvereinigung Antriebstechnik e.V.","ama":"Lammers S, Quattrone F, Mrozek R. <i>Machbarkeitsstudie 3D Druck Elektromotoren</i>. Vol Nr. 1189. Forschungsvereinigung Antriebstechnik e.V.; 2016.","ieee":"S. Lammers, F. Quattrone, and R. Mrozek, <i>Machbarkeitsstudie 3D Druck Elektromotoren</i>, vol. Nr. 1189. Forschungsvereinigung Antriebstechnik e.V., 2016.","chicago":"Lammers, Stefan, Francesco Quattrone, and Rafael Mrozek. <i>Machbarkeitsstudie 3D Druck Elektromotoren</i>. Vol. Nr. 1189. FVA Abschlussbericht . Forschungsvereinigung Antriebstechnik e.V., 2016."},"year":"2016","date_created":"2021-09-03T10:35:33Z","author":[{"last_name":"Lammers","full_name":"Lammers, Stefan","id":"13835","first_name":"Stefan"},{"full_name":"Quattrone, Francesco","last_name":"Quattrone","first_name":"Francesco"},{"last_name":"Mrozek","full_name":"Mrozek, Rafael","first_name":"Rafael"}],"volume":"Nr. 1189","publisher":"Forschungsvereinigung Antriebstechnik e.V.","date_updated":"2022-01-06T06:55:59Z","title":"Machbarkeitsstudie 3D Druck Elektromotoren","report_number":"FVA 731 I","type":"report","status":"public","series_title":"FVA Abschlussbericht ","user_id":"13835","department":[{"_id":"9"},{"_id":"146"},{"_id":"219"}],"_id":"23737","language":[{"iso":"ger"}]},{"publication":"CHEMKON","type":"journal_article","status":"public","department":[{"_id":"386"}],"user_id":"54823","_id":"23754","language":[{"iso":"ger"}],"issue":"2","quality_controlled":"1","publication_identifier":{"issn":["0944-5846"]},"publication_status":"published","page":"71-78","intvolume":"        23","citation":{"ama":"Fechner S, Dettweiler Y, Sieve B, Ulrich N, Böhm D, Schanze S. Egg-races als gesellschaftsfähige naturwissenschaftliche Wettbewerbe für jedermann? <i>CHEMKON</i>. 2016;23(2):71-78. doi:<a href=\"https://doi.org/10.1002/ckon.201610270\">10.1002/ckon.201610270</a>","chicago":"Fechner, Sabine, Yvonne Dettweiler, Bernhard Sieve, Nina Ulrich, Dominic Böhm, and Sascha Schanze. “Egg-races als gesellschaftsfähige naturwissenschaftliche Wettbewerbe für jedermann?” <i>CHEMKON</i> 23, no. 2 (2016): 71–78. <a href=\"https://doi.org/10.1002/ckon.201610270\">https://doi.org/10.1002/ckon.201610270</a>.","ieee":"S. Fechner, Y. Dettweiler, B. Sieve, N. Ulrich, D. Böhm, and S. Schanze, “Egg-races als gesellschaftsfähige naturwissenschaftliche Wettbewerbe für jedermann?,” <i>CHEMKON</i>, vol. 23, no. 2, pp. 71–78, 2016.","short":"S. Fechner, Y. Dettweiler, B. Sieve, N. Ulrich, D. Böhm, S. Schanze, CHEMKON 23 (2016) 71–78.","bibtex":"@article{Fechner_Dettweiler_Sieve_Ulrich_Böhm_Schanze_2016, title={Egg-races als gesellschaftsfähige naturwissenschaftliche Wettbewerbe für jedermann?}, volume={23}, DOI={<a href=\"https://doi.org/10.1002/ckon.201610270\">10.1002/ckon.201610270</a>}, number={2}, journal={CHEMKON}, author={Fechner, Sabine and Dettweiler, Yvonne and Sieve, Bernhard and Ulrich, Nina and Böhm, Dominic and Schanze, Sascha}, year={2016}, pages={71–78} }","mla":"Fechner, Sabine, et al. “Egg-races als gesellschaftsfähige naturwissenschaftliche Wettbewerbe für jedermann?” <i>CHEMKON</i>, vol. 23, no. 2, 2016, pp. 71–78, doi:<a href=\"https://doi.org/10.1002/ckon.201610270\">10.1002/ckon.201610270</a>.","apa":"Fechner, S., Dettweiler, Y., Sieve, B., Ulrich, N., Böhm, D., &#38; Schanze, S. (2016). 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