{"created":"2023-07-25T08:08:19.095308+00:00","id":7664,"links":{},"metadata":{"_buckets":{"deposit":"8f3a30fd-b709-4a26-bf7b-c4b0f6385c8e"},"_deposit":{"created_by":3,"id":"7664","owners":[3],"pid":{"revision_id":0,"type":"depid","value":"7664"},"status":"published"},"_oai":{"id":"oai:ir.kagoshima-u.ac.jp:00007664","sets":["228:280:5042"]},"author_link":["67371","67373","67372"],"item_7_biblio_info_5":{"attribute_name":"収録雑誌名","attribute_value_mlt":[{"bibliographicPageEnd":"17","bibliographicPageStart":"9","bibliographicVolumeNumber":"62","bibliographic_titles":[{"bibliographic_title":"鹿児島大学教育学部研究紀要. 自然科学編"},{"bibliographic_title":"Bulletin of the Faculty of Education, Kagoshima University. Natural science","bibliographic_titleLang":"en"}]}]},"item_7_date_6":{"attribute_name":"作成日","attribute_value_mlt":[{"subitem_date_issued_datetime":"2011-03-14"}]},"item_7_description_4":{"attribute_name":"要約(Abstract)","attribute_value_mlt":[{"subitem_description":"Consider four random spherical caps of common radius on the unit sphere, and assume that their centers, p1, p2, p3, p4, are generated independently and uniformly. Let G be a graph made of four vertices v1, v2, v3, v4, for which vertices vi, and vj are connected by an edge if and only if spherical caps with centers pi, pj are in-contact. We study the following two events: EI that G is composed of a connected triangle of three vertices and an isolated vertex; EII that G is composed of a connected line-segment of four vertices. Since both events occur with zero probability, it is impossible to define the ratio P(EI) : P(EII) by\nthe usual manner. However, by introducing a concept of ε-contactness and later letting ε　be arbitrarily small, we can invest a legitimacy to the ratio in an asymptotic sense. On　this foundation an exact expression for the ratio will be derived and then it will be　evaluated numerically for various radii of speherical caps.","subitem_description_type":"Other"}]},"item_7_full_name_2":{"attribute_name":"著者よみ","attribute_value_mlt":[{"nameIdentifiers":[{}],"names":[{"name":"イソカワ, ユキナオ"}]}]},"item_7_full_name_3":{"attribute_name":"別言語の著者","attribute_value_mlt":[{"nameIdentifiers":[{}],"names":[{"name":"磯川, 幸直"}]}]},"item_7_publisher_23":{"attribute_name":"公開者・出版者","attribute_value_mlt":[{"subitem_publisher":"鹿児島大学"}]},"item_7_source_id_7":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"03896692","subitem_source_identifier_type":"ISSN"}]},"item_7_source_id_9":{"attribute_name":"NII書誌ID","attribute_value_mlt":[{"subitem_source_identifier":"AN00408518","subitem_source_identifier_type":"NCID"}]},"item_7_subject_15":{"attribute_name":"NDC","attribute_value_mlt":[{"subitem_subject":"410","subitem_subject_scheme":"NDC"}]},"item_7_text_24":{"attribute_name":"公開者よみ","attribute_value_mlt":[{"subitem_text_value":"カゴシマ ダイガク"}]},"item_7_text_25":{"attribute_name":"公開者別名","attribute_value_mlt":[{"subitem_text_value":"Kagoshima University"}]},"item_7_version_type_14":{"attribute_name":"著者版フラグ","attribute_value_mlt":[{"subitem_version_resource":"http://purl.org/coar/version/c_970fb48d4fbd8a85","subitem_version_type":"VoR"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"ISOKAWA, Yukinao"}],"nameIdentifiers":[{}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2016-10-28"}],"displaytype":"detail","filename":"AN00408518_v62_p9-17.pdf","filesize":[{"value":"13.5 MB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"AN00408518_v62_p9-17.pdf","url":"https://ir.kagoshima-u.ac.jp/record/7664/files/AN00408518_v62_p9-17.pdf"},"version_id":"403aa559-687d-4d19-a65b-26ee616ac9f6"}]},"item_keyword":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":"spherical cap","subitem_subject_scheme":"Other"},{"subitem_subject":"zero probability","subitem_subject_scheme":"Other"}]},"item_language":{"attribute_name":"言語","attribute_value_mlt":[{"subitem_language":"eng"}]},"item_resource_type":{"attribute_name":"資源タイプ","attribute_value_mlt":[{"resourcetype":"departmental bulletin paper","resourceuri":"http://purl.org/coar/resource_type/c_6501"}]},"item_title":"Probabilities that Random Spherical Caps are in Contact","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Probabilities that Random Spherical Caps are in Contact"}]},"item_type_id":"7","owner":"3","path":["42","5042"],"pubdate":{"attribute_name":"公開日","attribute_value":"2011-08-02"},"publish_date":"2011-08-02","publish_status":"0","recid":"7664","relation_version_is_last":true,"title":["Probabilities that Random Spherical Caps are in Contact"],"weko_creator_id":"3","weko_shared_id":3},"updated":"2024-01-30T02:12:07.534989+00:00"}