{"created":"2023-06-19T10:29:24.618875+00:00","id":9253,"links":{},"metadata":{"_buckets":{"deposit":"93252284-303d-4db9-8908-ce678a812a2c"},"_deposit":{"created_by":18,"id":"9253","owners":[18],"pid":{"revision_id":0,"type":"depid","value":"9253"},"status":"published"},"_oai":{"id":"oai:muroran-it.repo.nii.ac.jp:00009253","sets":["216:319","46"]},"author_link":["21184"],"item_79_biblio_info_10":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2017-06","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"3-4","bibliographicPageEnd":"1489","bibliographicPageStart":"1473","bibliographicVolumeNumber":"71","bibliographic_titles":[{"bibliographic_title":"Results in Mathematics","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 singular plane curves, the classical definitions of envelopes are vague. In order to define envelopes for singular plane curves, we introduce a one-parameter family of Legendre curves in the unit tangent bundle over the Euclidean plane and the curvature. Then we give a definition of an envelope for the one-parameter family of Legendre curves. We investigate properties of the envelopes. For instance, the envelope is also a Legendre curve. Moreover, we consider bi-Legendre curves and give a relationship between envelopes.","subitem_description_language":"en","subitem_description_type":"Abstract"}]},"item_79_link_17":{"attribute_name":"出版者版へのリンク","attribute_value_mlt":[{"subitem_link_text":"10.1007/s00025-016-0619-7","subitem_link_url":"https://doi.org/10.1007/s00025-016-0619-7"}]},"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/s00025-016-0619-7","subitem_relation_type_select":"DOI"}}]},"item_79_rights_19":{"attribute_name":"権利","attribute_value_mlt":[{"subitem_rights":"© Springer International Publishing 2016. The final publication is available at Springer via http://dx.doi.org/10.1007/s00025-016-0619-7","subitem_rights_language":"en"}]},"item_79_source_id_12":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"1422-6383","subitem_source_identifier_type":"PISSN"},{"subitem_source_identifier":"1420-9012","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":"AA12502442","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 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":[{"creatorAffiliations":[{"affiliationNameIdentifiers":[{}],"affiliationNames":[{},{}]}],"creatorNames":[{"creatorName":"TAKAHASHI,  Masatomo","creatorNameLang":"en"},{"creatorName":"高橋, 雅朋","creatorNameLang":"ja"},{"creatorName":"タカハシ, 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":"2018-07-01"}],"displaytype":"detail","filename":"RM_71_3-4_1473-1489.pdf","filesize":[{"value":"360.5 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"RM_71_3-4_1473-1489","objectType":"fulltext","url":"https://muroran-it.repo.nii.ac.jp/record/9253/files/RM_71_3-4_1473-1489.pdf"},"version_id":"9e75f46f-665e-4f92-9acb-b26b29726d41"}]},"item_keyword":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":"Envelope","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"one-parameter family of Legendre curves","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"Legendre curve","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":"Envelopes of Legendre Curves in the Unit Tangent Bundle over the Euclidean Plane","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Envelopes of Legendre Curves in the Unit Tangent Bundle over the Euclidean Plane","subitem_title_language":"en"}]},"item_type_id":"79","owner":"18","path":["46","319"],"pubdate":{"attribute_name":"PubDate","attribute_value":"2017-07-13"},"publish_date":"2017-07-13","publish_status":"0","recid":"9253","relation_version_is_last":true,"title":["Envelopes of Legendre Curves in the Unit Tangent Bundle over the Euclidean Plane"],"weko_creator_id":"18","weko_shared_id":-1},"updated":"2023-10-24T01:43:52.765693+00:00"}