{"created":"2023-06-19T10:29:15.934409+00:00","id":9031,"links":{},"metadata":{"_buckets":{"deposit":"ca300b7c-11e1-4bca-afbf-2ec2c93ff594"},"_deposit":{"created_by":18,"id":"9031","owners":[18],"pid":{"revision_id":0,"type":"depid","value":"9031"},"status":"published"},"_oai":{"id":"oai:muroran-it.repo.nii.ac.jp:00009031","sets":["216:319","46"]},"author_link":["42964","21184"],"item_79_biblio_info_10":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2016-09","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"3","bibliographicPageEnd":"653","bibliographicPageStart":"637","bibliographicVolumeNumber":"57","bibliographic_titles":[{"bibliographic_title":"Beiträge zur Algebra und Geometrie = Contributions to Algebra and Geometry","bibliographic_titleLang":"en"}]}]},"item_79_description_23":{"attribute_name":"フォーマット","attribute_value_mlt":[{"subitem_description":"application/pdf","subitem_description_type":"Other"}]},"item_79_description_7":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"For a regular plane curve, an involute of it is the trajectory described by the end of a stretched string unwinding from a point of the curve. Even for a regular curve, the involute always has a singularity. By using a moving frame along the front and the curvature of the Legendre immersion in the unit tangent bundle, we define an involute of the front in the Euclidean plane and give properties of it. We also consider a relationship between evolutes and involutes of fronts without inflection points. As a result, the evolutes and the involutes of fronts without inflection points are corresponding to the differential and the integral of the curvature of the Legendre immersion.","subitem_description_language":"en","subitem_description_type":"Abstract"}]},"item_79_description_8":{"attribute_name":"注記","attribute_value_mlt":[{"subitem_description":"Mathematics Subject Classification : 58K05; 53A04; 57R45","subitem_description_language":"en","subitem_description_type":"Other"}]},"item_79_link_17":{"attribute_name":"出版者版へのリンク","attribute_value_mlt":[{"subitem_link_text":"10.1007/s13366-015-0275-1","subitem_link_url":"https://doi.org/10.1007/s13366-015-0275-1"}]},"item_79_link_5":{"attribute_name":"室蘭工業大学研究者データベースへのリンク","attribute_value_mlt":[{"subitem_link_text":"高橋 雅朋(TAKAHASHI Masatomo)","subitem_link_url":"http://rdsoran.muroran-it.ac.jp/html/100000191_ja.html"}]},"item_79_publisher_11":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"Springer","subitem_publisher_language":"en"}]},"item_79_relation_18":{"attribute_name":"DOI","attribute_value_mlt":[{"subitem_relation_type":"isVersionOf","subitem_relation_type_id":{"subitem_relation_type_id_text":"10.1007/s13366-015-0275-1","subitem_relation_type_select":"DOI"}}]},"item_79_rights_19":{"attribute_name":"権利","attribute_value_mlt":[{"subitem_rights":"The final publication is available at Springer via http://dx.doi.org/10.1007/s13366-015-0275-1","subitem_rights_language":"en"}]},"item_79_source_id_12":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"0138-4821","subitem_source_identifier_type":"PISSN"},{"subitem_source_identifier":"2191-0383","subitem_source_identifier_type":"EISSN"}]},"item_79_source_id_14":{"attribute_name":"書誌レコードID","attribute_value_mlt":[{"subitem_source_identifier":"AA00558880","subitem_source_identifier_type":"NCID"}]},"item_79_subject_9":{"attribute_name":"日本十進分類法","attribute_value_mlt":[{"subitem_subject":"414","subitem_subject_scheme":"NDC"}]},"item_79_version_type_21":{"attribute_name":"著者版フラグ","attribute_value_mlt":[{"subitem_version_resource":"http://purl.org/coar/version/c_ab4af688f83e57aa","subitem_version_type":"AM"}]},"item_access_right":{"attribute_name":"アクセス権","attribute_value_mlt":[{"subitem_access_right":"open 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マサトモ","creatorNameLang":"ja-Kana"}],"familyNames":[{},{},{}],"givenNames":[{},{},{}],"nameIdentifiers":[{},{}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2017-10-01"}],"displaytype":"detail","filename":"AaG_57-3_637-653.pdf","filesize":[{"value":"200.2 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"AaG_57-3_637-653","objectType":"fulltext","url":"https://muroran-it.repo.nii.ac.jp/record/9031/files/AaG_57-3_637-653.pdf"},"version_id":"3e7b7b03-766e-44b5-9460-bd14bd736c32"}]},"item_keyword":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":"Involute","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"Evolute","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"Front","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"Legendre immersion","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"Inflection point","subitem_subject_language":"en","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":"journal article","resourceuri":"http://purl.org/coar/resource_type/c_6501"}]},"item_title":"Involutes of fronts in the Euclidean plane","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Involutes of fronts in the Euclidean plane","subitem_title_language":"en"}]},"item_type_id":"79","owner":"18","path":["46","319"],"pubdate":{"attribute_name":"PubDate","attribute_value":"2016-10-04"},"publish_date":"2016-10-04","publish_status":"0","recid":"9031","relation_version_is_last":true,"title":["Involutes of fronts in the Euclidean plane"],"weko_creator_id":"18","weko_shared_id":-1},"updated":"2023-12-15T05:20:09.654931+00:00"}