{"created":"2023-07-27T06:26:41.612562+00:00","id":10516,"links":{},"metadata":{"_buckets":{"deposit":"433504e4-e1a9-4e51-88a2-46b92981ce65"},"_deposit":{"created_by":3,"id":"10516","owners":[3],"pid":{"revision_id":0,"type":"depid","value":"10516"},"status":"published"},"_oai":{"id":"oai:kanazawa-u.repo.nii.ac.jp:00010516","sets":["934:935:937"]},"author_link":["15953"],"item_4_biblio_info_8":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2009-01-01","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"8","bibliographicPageEnd":"104","bibliographicPageStart":"101","bibliographicVolumeNumber":"85","bibliographic_titles":[{"bibliographic_title":"Proceedings of the Japan Academy Series A: Mathematical Sciences"}]}]},"item_4_description_21":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"In a recent paper in this Proceedings, H. Okamoto presented a parameterized family of continuous functions which contains Bourbaki's and Perkins's nowhere differentiable functions as well as the Cantor-Lebesgue singular function. He showed that the function changes it's differentiability from 'differentiable almost everywhere' to 'non-differentiable almost everywhere' at a certain parameter value. However, differentiability of the function at the critical parameter value remained unknown. For this problem, we prove that the function is non-differentiable almost everywhere at the critical case. © 2009 The Japan Academy.","subitem_description_type":"Abstract"}]},"item_4_publisher_17":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"日本学士院 = Japan Academy"}]},"item_4_relation_12":{"attribute_name":"DOI","attribute_value_mlt":[{"subitem_relation_type":"isIdenticalTo","subitem_relation_type_id":{"subitem_relation_type_id_text":"10.3792/pjaa.85.101","subitem_relation_type_select":"DOI"}}]},"item_4_relation_28":{"attribute_name":"関連URI","attribute_value_mlt":[{"subitem_relation_type_id":{"subitem_relation_type_id_text":"http://www.japan-acad.go.jp/","subitem_relation_type_select":"URI"}},{"subitem_relation_type_id":{"subitem_relation_type_id_text":"http://projecteuclid.org/","subitem_relation_type_select":"URI"}}]},"item_4_rights_23":{"attribute_name":"権利","attribute_value_mlt":[{"subitem_rights":"Copyright © The Japan Academy"}]},"item_4_source_id_11":{"attribute_name":"NCID","attribute_value_mlt":[{"subitem_source_identifier":"AA00785474","subitem_source_identifier_type":"NCID"}]},"item_4_source_id_9":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"0386-2194","subitem_source_identifier_type":"ISSN"}]},"item_4_version_type_25":{"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":"Kobayashi, Kenta"}],"nameIdentifiers":[{},{}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2017-10-03"}],"displaytype":"detail","filename":"SC-PR-KOBAYASHI-K-101.pdf","filesize":[{"value":"184.5 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"SC-PR-KOBAYASHI-K-101.pdf","url":"https://kanazawa-u.repo.nii.ac.jp/record/10516/files/SC-PR-KOBAYASHI-K-101.pdf"},"version_id":"c593b768-74b5-4ee6-92fc-ce9018f59396"}]},"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":"journal article","resourceuri":"http://purl.org/coar/resource_type/c_6501"}]},"item_title":"On the critical case of Okamoto's continuous non-differentiable functions","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"On the critical case of Okamoto's continuous non-differentiable functions"}]},"item_type_id":"4","owner":"3","path":["937"],"pubdate":{"attribute_name":"公開日","attribute_value":"2017-10-03"},"publish_date":"2017-10-03","publish_status":"0","recid":"10516","relation_version_is_last":true,"title":["On the critical case of Okamoto's continuous non-differentiable functions"],"weko_creator_id":"3","weko_shared_id":-1},"updated":"2023-07-28T01:39:56.740538+00:00"}