{"created":"2023-07-27T07:48:43.178539+00:00","id":23509,"links":{},"metadata":{"_buckets":{"deposit":"cda57d0d-31c6-41ae-a7bb-6bed821ec80f"},"_deposit":{"created_by":20,"id":"23509","owners":[20],"pid":{"revision_id":0,"type":"depid","value":"23509"},"status":"published"},"_oai":{"id":"oai:doshisha.repo.nii.ac.jp:00023509","sets":["4251:8138:8139:8140:8160","8:3372:3847:3867"]},"author_link":["21062","2484","15621"],"item_1693811493084":{"attribute_name":"出版タイプ","attribute_value_mlt":[{"subitem_version_resource":"http://purl.org/coar/version/c_970fb48d4fbd8a85","subitem_version_type":"VoR"}]},"item_1694490770713":{"attribute_name":"権利者情報","attribute_value_mlt":[{"nameIdentifiers":[{"nameIdentifier":"DA18202107","nameIdentifierScheme":"AID"}],"rightHolderNames":[{"rightHolderLanguage":"ja","rightHolderName":"同志社大学ハリス理化学研究所"},{"rightHolderLanguage":"en","rightHolderName":"Harris Science Research Institute of Doshisha University"}]}]},"item_1_alternative_title_2":{"attribute_name":"その他（別言語等）のタイトル","attribute_value_mlt":[{"subitem_alternative_title":"ミンプラス ダイスウ ニ オケル タコウシキ ノ インスウ ブンカイ","subitem_alternative_title_language":"ja"}]},"item_1_biblio_info_14":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2015-07-31","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"2","bibliographicPageEnd":"125","bibliographicPageStart":"120","bibliographicVolumeNumber":"56","bibliographic_titles":[{"bibliographic_title":"同志社大学ハリス理化学研究報告","bibliographic_titleLang":"ja"},{"bibliographic_title":"The Harris science review of Doshisha University","bibliographic_titleLang":"en"}]}]},"item_1_description_12":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"Min-Plus代数は様々な数学の分野で研究されている冪等半環のひとつである。本論文ではMin-Plus代数上で定義された1変数多項式の因数分解に焦点を当てる。ここではMin-Plus代数上で定義された1変数多項式が線形因子に分解できるための必要十分条件を紹介する。さらにMin-Plus代数上で定義された1変数多項式の根が、多項式で表された区分的線形な関数のグラフの屈折点を表現することを証明する。","subitem_description_language":"ja","subitem_description_type":"Abstract"},{"subitem_description":"Min-plus algebra is one of many idempotent semirings which have been studied in various fields of mathematics. In the present paper, we focus on the factorization of univariate polynomials in min-plus algebra. We present the necessary and sufficient condition under which univariate polynomials in min-plus algebra can be factorized into linear factors. Moreover, we prove that roots of a univariate polynomial in min-plus algebra express breakpoints of the graph of the piecewise-linear function represented by the polynomial.","subitem_description_language":"en","subitem_description_type":"Abstract"}]},"item_1_description_25":{"attribute_name":"フォーマット","attribute_value_mlt":[{"subitem_description":"application/pdf","subitem_description_type":"Other"}]},"item_1_identifier_registration":{"attribute_name":"ID登録","attribute_value_mlt":[{"subitem_identifier_reg_text":"10.14988/pa.2017.0000014219","subitem_identifier_reg_type":"JaLC"}]},"item_1_publisher_15":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"同志社大学ハリス理化学研究所","subitem_publisher_language":"ja"}]},"item_1_publisher_16":{"attribute_name":"出版者（英）","attribute_value_mlt":[{"subitem_publisher":"Harris Science Research Institute of Doshisha 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雄人 / Graduate School of Science and Engineering, Doshisha University"},{"subitem_text_language":"ja","subitem_text_value":"渡辺, 扇之介 / 同志社大学研究開発推進機構助手(有期研究員)"},{"subitem_text_language":"ja","subitem_text_value":"渡邊, 芳英 / 同志社大学理工学部数理システム学科教授"}]},"item_1_text_9":{"attribute_name":"著者所属（英）","attribute_value_mlt":[{"subitem_text_language":"en","subitem_text_value":"Doshisha University"}]},"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":"戸塚, 雄人","creatorNameLang":"ja"},{"creatorName":"トズカ, ユウト","creatorNameLang":"ja-Kana"},{"creatorName":"Tozuka, Yuto","creatorNameLang":"en"}],"nameIdentifiers":[{},{}]},{"creatorNames":[{"creatorName":"渡辺, 扇之介","creatorNameLang":"ja"},{"creatorName":"ワタナベ, センノスケ","creatorNameLang":"ja-Kana"},{"creatorName":"Watanabe, Sennosuke","creatorNameLang":"en"}],"nameIdentifiers":[{},{},{}]},{"creatorNames":[{"creatorName":"渡邊, 芳英","creatorNameLang":"ja"},{"creatorName":"ワタナベ, ヨシヒデ","creatorNameLang":"ja-Kana"},{"creatorName":"Watanabe, Yoshihide","creatorNameLang":"en"}],"nameIdentifiers":[{},{},{},{}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2015-08-25"}],"displaytype":"detail","filename":"023056020006.pdf","filesize":[{"value":"995.4 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"023056020006.pdf","url":"https://doshisha.repo.nii.ac.jp/record/23509/files/023056020006.pdf"},"version_id":"2d5be396-91fa-4642-9547-15c15445d71f"}]},"item_keyword":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":"Min-Plus代数","subitem_subject_language":"ja","subitem_subject_scheme":"Other"},{"subitem_subject":"多項式","subitem_subject_language":"ja","subitem_subject_scheme":"Other"},{"subitem_subject":"根","subitem_subject_language":"ja","subitem_subject_scheme":"Other"},{"subitem_subject":"屈折点","subitem_subject_language":"ja","subitem_subject_scheme":"Other"},{"subitem_subject":"Min-Plus algebra","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"polynomials","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"breakpoints","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"roots","subitem_subject_language":"en","subitem_subject_scheme":"Other"}]},"item_language":{"attribute_name":"言語","attribute_value_mlt":[{"subitem_language":"jpn"}]},"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":"Min-Plus代数における多項式の因数分解","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Min-Plus代数における多項式の因数分解","subitem_title_language":"ja"},{"subitem_title":"Min-Plus ダイスウ ニオケル タコウシキ ノ インスウ ブンカイ","subitem_title_language":"ja-Kana"},{"subitem_title":"A factorization of Min-Plus polynomials","subitem_title_language":"en"}]},"item_type_id":"1","owner":"20","path":["3867","8160"],"pubdate":{"attribute_name":"PubDate","attribute_value":"2015-08-25"},"publish_date":"2015-08-25","publish_status":"0","recid":"23509","relation_version_is_last":true,"title":["Min-Plus代数における多項式の因数分解"],"weko_creator_id":"20","weko_shared_id":-1},"updated":"2023-11-28T06:21:34.715408+00:00"}