[{"file_date_updated":"2020-07-14T12:47:28Z","language":[{"iso":"eng"}],"ddc":["510"],"author":[{"full_name":"Akopyan, Arseniy","id":"430D2C90-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-2548-617X","last_name":"Akopyan","first_name":"Arseniy"},{"orcid":"0000-0002-7840-5062","first_name":"Sergey","last_name":"Avvakumov","full_name":"Avvakumov, Sergey","id":"3827DAC8-F248-11E8-B48F-1D18A9856A87"}],"publication_status":"published","oa":1,"doi":"10.1017/fms.2018.7","file":[{"file_name":"2018_ForumMahtematics_Akopyan.pdf","access_level":"open_access","creator":"dernst","checksum":"5a71b24ba712a3eb2e46165a38fbc30a","file_id":"6356","date_created":"2019-04-30T06:14:58Z","date_updated":"2020-07-14T12:47:28Z","content_type":"application/pdf","relation":"main_file","file_size":249246}],"project":[{"_id":"256E75B8-B435-11E9-9278-68D0E5697425","grant_number":"716117","name":"Optimal Transport and Stochastic Dynamics","call_identifier":"H2020"}],"intvolume":"         6","year":"2018","date_created":"2019-04-30T06:09:57Z","day":"31","corr_author":"1","publication":"Forum of Mathematics, Sigma","_id":"6355","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","ec_funded":1,"department":[{"_id":"UlWa"},{"_id":"HeEd"},{"_id":"JaMa"}],"tmp":{"short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"has_accepted_license":"1","external_id":{"isi":["000433915500001"],"arxiv":["1712.10205"]},"quality_controlled":"1","date_updated":"2026-04-08T07:25:54Z","month":"05","volume":6,"title":"Any cyclic quadrilateral can be inscribed in any closed convex smooth curve","date_published":"2018-05-31T00:00:00Z","article_processing_charge":"No","arxiv":1,"isi":1,"related_material":{"record":[{"id":"8156","relation":"dissertation_contains","status":"public"}]},"type":"journal_article","publication_identifier":{"issn":["2050-5094"]},"status":"public","citation":{"ista":"Akopyan A, Avvakumov S. 2018. Any cyclic quadrilateral can be inscribed in any closed convex smooth curve. Forum of Mathematics, Sigma. 6, e7.","short":"A. Akopyan, S. Avvakumov, Forum of Mathematics, Sigma 6 (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>.","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>.","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>","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>","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."},"article_number":"e7","abstract":[{"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.","lang":"eng"}],"oa_version":"Published Version","publisher":"Cambridge University Press"}]