{"created":"2023-05-15T11:19:46.955741+00:00","id":222,"links":{},"metadata":{"_buckets":{"deposit":"4db95ba8-b733-454a-8f33-7f41370218fa"},"_deposit":{"created_by":2,"id":"222","owners":[2],"pid":{"revision_id":0,"type":"depid","value":"222"},"status":"published"},"_oai":{"id":"oai:nsu.repo.nii.ac.jp:00000222","sets":["6:7:76"]},"author_link":["369","370"],"control_number":"222","item_2_biblio_info_4":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2013-02","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"41","bibliographicPageEnd":"58","bibliographicPageStart":"49","bibliographic_titles":[{"bibliographic_title":"新潟産業大学経済学部紀要"}]}]},"item_2_description_10":{"attribute_name":"資源タイプ","attribute_value_mlt":[{"subitem_description":"論文(Article)","subitem_description_type":"Other"}]},"item_2_description_3":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"和算にはニュートン法(1669年頃ニュートン,1690年頃ラフソン)の拡張と見られる村瀬義益の漸化式の研究(1673)がある．この村瀬の漸化式から，村瀬義益・ニュートン型の第一拡張漸化式(土倉・堀口法)が得られる(2010)．そこで本稿ではp乗根を求めるいろいろな方程式の関数に土倉・堀口法を適用して，これらの漸化式の収束比較を行う．本稿は和算が現代数学に繋がり，その中で生きている一例であり，さらに日本の数学の独創性を示すものである．算盤しかなかった江戸時代と違い，現在はパソコンにより，容易に数値計算の実験，研究が出来る．ニュートンや江戸時代の和算家たちが知ったらどのような感想をもつであろうか？","subitem_description_type":"Abstract"}]},"item_2_description_7":{"attribute_name":"フォーマット","attribute_value_mlt":[{"subitem_description":"application/pdf","subitem_description_type":"Other"}]},"item_2_full_name_2":{"attribute_name":"著者別名","attribute_value_mlt":[{"nameIdentifiers":[{"nameIdentifier":"370","nameIdentifierScheme":"WEKO"}],"names":[{"name":"Horiguchi, Shunji"}]}]},"item_2_publisher_9":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"新潟産業大学附属東アジア経済文化研究所"}]},"item_2_source_id_6":{"attribute_name":"書誌レコードID","attribute_value_mlt":[{"subitem_source_identifier":"AN10492758","subitem_source_identifier_type":"NCID"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"堀口, 俊二","creatorNameLang":"ja"}],"nameIdentifiers":[{"nameIdentifier":"369","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":"2019-10-24"}],"displaytype":"detail","filename":"41_49-58.pdf","filesize":[{"value":"3.4 MB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"41_49-58.pdf","url":"https://nsu.repo.nii.ac.jp/record/222/files/41_49-58.pdf"},"version_id":"32d0072d-04ad-4b51-b179-7a9ef0d05af0"}]},"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":"累乗根を表すいろいろな方程式の土倉・堀口法（村瀬義益・ニュートン型の第一拡張漸化式）の収束比較","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"累乗根を表すいろいろな方程式の土倉・堀口法（村瀬義益・ニュートン型の第一拡張漸化式）の収束比較","subitem_title_language":"ja"},{"subitem_title":"Comparisons of convergence of the Tsuchikura-Horiguchi method (the first extension recurrence formula of Murase Yoshimasu-Newton’s type) of various equation which represent radical roots","subitem_title_language":"en"}]},"item_type_id":"2","owner":"2","path":["76"],"pubdate":{"attribute_name":"公開日","attribute_value":"2013-05-23"},"publish_date":"2013-05-23","publish_status":"0","recid":"222","relation_version_is_last":true,"title":["累乗根を表すいろいろな方程式の土倉・堀口法（村瀬義益・ニュートン型の第一拡張漸化式）の収束比較"],"weko_creator_id":"2","weko_shared_id":-1},"updated":"2023-07-20T05:17:34.408334+00:00"}