{"created":"2023-07-25T08:10:57.716803+00:00","id":11027,"links":{},"metadata":{"_buckets":{"deposit":"2cdaf705-d084-47e1-b57f-7e5da89613ae"},"_deposit":{"created_by":29,"id":"11027","owners":[29],"pid":{"revision_id":0,"type":"depid","value":"11027"},"status":"published"},"_oai":{"id":"oai:ir.kagoshima-u.ac.jp:00011027","sets":["228:280:5043","41:42"]},"author_link":["65961"],"item_7_biblio_info_5":{"attribute_name":"収録雑誌名","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2012-03-16","bibliographicIssueDateType":"Issued"},"bibliographicPageEnd":"52","bibliographicPageStart":"45","bibliographicVolumeNumber":"63","bibliographic_titles":[{"bibliographic_title":"鹿児島大学教育学部研究紀要. 自然科学編","bibliographic_titleLang":"ja"},{"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":"2012-03-16","subitem_date_issued_type":"Issued"}]},"item_7_description_4":{"attribute_name":"要約(Abstract)","attribute_value_mlt":[{"subitem_description":"We study solids made from the unit sphere by removing a number n of parallel cylinders of various radii that are externally tangent to each other and internally tangent to the unit sphere. Qur main interest is to study extremal properties (the maximum and the minimum) of geometrical characteristics such as surface area, volume, and perimeter length in the space of all of these solids. When n = 2, we show that the classical Viviani's solid enjoys an extremal property. When n = 3, by restricting the space so that it becomes compact, we show that geometrical charcteristics have extremes when and only when two of radii of cylinders are equal each other.","subitem_description_language":"en","subitem_description_type":"Other"}]},"item_7_publisher_23":{"attribute_name":"公開者・出版者","attribute_value_mlt":[{"subitem_publisher":"鹿児島大学","subitem_publisher_language":"ja"},{"subitem_publisher":"Kagoshima University","subitem_publisher_language":"en"}]},"item_7_source_id_7":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"03896692","subitem_source_identifier_type":"PISSN"}]},"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":"414","subitem_subject_scheme":"NDC"}]},"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_access_right":{"attribute_name":"アクセス権","attribute_value_mlt":[{"subitem_access_right":"open access","subitem_access_right_uri":"http://purl.org/coar/access_right/c_abf2"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"ISOKAWA, Yukinao","creatorNameLang":"en"},{"creatorName":"磯川, 幸直","creatorNameLang":"ja"}],"nameIdentifiers":[{"nameIdentifier":"65961","nameIdentifierScheme":"WEKO"}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2016-10-31"}],"displaytype":"detail","fileDate":[{"fileDateType":"Issued","fileDateValue":"2012-03-16"}],"filename":"AN00408518_v63_p45-52.pdf","filesize":[{"value":"769.0 kB"}],"format":"application/pdf","mimetype":"application/pdf","url":{"label":"AN00408518_v63_p45-52.pdf","objectType":"fulltext","url":"https://ir.kagoshima-u.ac.jp/record/11027/files/AN00408518_v63_p45-52.pdf"},"version_id":"ff9cc294-e230-4fa0-b565-02f836d3449b"}]},"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":"Generalized Viviani's Solid","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Generalized Viviani's Solid","subitem_title_language":"en"}]},"item_type_id":"7","owner":"29","path":["42","5043"],"pubdate":{"attribute_name":"PubDate","attribute_value":"2012-05-30"},"publish_date":"2012-05-30","publish_status":"0","recid":"11027","relation_version_is_last":true,"title":["Generalized Viviani's Solid"],"weko_creator_id":"29","weko_shared_id":-1},"updated":"2024-12-16T07:18:52.311604+00:00"}