{"year":"2018","tmp":{"image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"type":"journal_article","article_number":"e7","ec_funded":1,"article_processing_charge":"No","department":[{"_id":"UlWa"},{"_id":"HeEd"},{"_id":"JaMa"}],"publication_status":"published","date_updated":"2023-09-19T14:50:12Z","publisher":"Cambridge University Press","oa":1,"project":[{"_id":"256E75B8-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","name":"Optimal Transport and Stochastic Dynamics","grant_number":"716117"}],"language":[{"iso":"eng"}],"quality_controlled":"1","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","related_material":{"record":[{"id":"8156","status":"public","relation":"dissertation_contains"}]},"file_date_updated":"2020-07-14T12:47:28Z","date_published":"2018-05-31T00:00:00Z","external_id":{"isi":["000433915500001"],"arxiv":["1712.10205"]},"_id":"6355","oa_version":"Published Version","status":"public","has_accepted_license":"1","volume":6,"publication":"Forum of Mathematics, Sigma","abstract":[{"lang":"eng","text":"We  prove  that  any  cyclic  quadrilateral  can  be  inscribed  in  any  closed  convex C1-curve.  The smoothness condition is not required if the quadrilateral is a rectangle."}],"month":"05","publication_identifier":{"issn":["2050-5094"]},"doi":"10.1017/fms.2018.7","isi":1,"ddc":["510"],"day":"31","title":"Any cyclic quadrilateral can be inscribed in any closed convex smooth curve","date_created":"2019-04-30T06:09:57Z","author":[{"id":"430D2C90-F248-11E8-B48F-1D18A9856A87","full_name":"Akopyan, Arseniy","last_name":"Akopyan","orcid":"0000-0002-2548-617X","first_name":"Arseniy"},{"last_name":"Avvakumov","id":"3827DAC8-F248-11E8-B48F-1D18A9856A87","full_name":"Avvakumov, Sergey","first_name":"Sergey"}],"intvolume":"         6","file":[{"file_id":"6356","checksum":"5a71b24ba712a3eb2e46165a38fbc30a","creator":"dernst","date_updated":"2020-07-14T12:47:28Z","file_name":"2018_ForumMahtematics_Akopyan.pdf","content_type":"application/pdf","access_level":"open_access","relation":"main_file","file_size":249246,"date_created":"2019-04-30T06:14:58Z"}],"citation":{"short":"A. Akopyan, S. Avvakumov, Forum of Mathematics, Sigma 6 (2018).","ista":"Akopyan A, Avvakumov S. 2018. Any cyclic quadrilateral can be inscribed in any closed convex smooth curve. Forum of Mathematics, Sigma. 6, e7.","chicago":"Akopyan, Arseniy, and Sergey Avvakumov. “Any Cyclic Quadrilateral Can Be Inscribed in Any Closed Convex Smooth Curve.” <i>Forum of Mathematics, Sigma</i>. Cambridge University Press, 2018. <a href=\"https://doi.org/10.1017/fms.2018.7\">https://doi.org/10.1017/fms.2018.7</a>.","ama":"Akopyan A, Avvakumov S. Any cyclic quadrilateral can be inscribed in any closed convex smooth curve. <i>Forum of Mathematics, Sigma</i>. 2018;6. doi:<a href=\"https://doi.org/10.1017/fms.2018.7\">10.1017/fms.2018.7</a>","apa":"Akopyan, A., &#38; Avvakumov, S. (2018). Any cyclic quadrilateral can be inscribed in any closed convex smooth curve. <i>Forum of Mathematics, Sigma</i>. Cambridge University Press. <a href=\"https://doi.org/10.1017/fms.2018.7\">https://doi.org/10.1017/fms.2018.7</a>","ieee":"A. Akopyan and S. Avvakumov, “Any cyclic quadrilateral can be inscribed in any closed convex smooth curve,” <i>Forum of Mathematics, Sigma</i>, vol. 6. Cambridge University Press, 2018.","mla":"Akopyan, Arseniy, and Sergey Avvakumov. “Any Cyclic Quadrilateral Can Be Inscribed in Any Closed Convex Smooth Curve.” <i>Forum of Mathematics, Sigma</i>, vol. 6, e7, Cambridge University Press, 2018, doi:<a href=\"https://doi.org/10.1017/fms.2018.7\">10.1017/fms.2018.7</a>."}}