{"created":"2021-03-01T06:39:54.777437+00:00","id":34614,"links":{},"metadata":{"_buckets":{"deposit":"c1d81a2c-6889-4c59-acfb-e5ddd28b8c29"},"_deposit":{"id":"34614","owners":[],"pid":{"revision_id":0,"type":"depid","value":"34614"},"status":"published"},"_oai":{"id":"oai:teapot.lib.ocha.ac.jp:00034614","sets":["347:359:685"]},"item_11_biblio_info_8":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2007-09","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"1","bibliographicPageEnd":"28","bibliographicPageStart":"15","bibliographicVolumeNumber":"58","bibliographic_titles":[{"bibliographic_title":"お茶の水女子大學自然科學報告"}]}]},"item_11_description_17":{"attribute_name":"フォーマット","attribute_value_mlt":[{"subitem_description":"application/pdf","subitem_description_type":"Other"}]},"item_11_description_46":{"attribute_name":"資源タイプ","attribute_value_mlt":[{"subitem_description":"紀要論文","subitem_description_type":"Other"}]},"item_11_description_7":{"attribute_name":"内容記述","attribute_value_mlt":[{"subitem_description":"Manipulation of continued fraction, either finite and infinite, was shown to be greatly simplified and systematized by introducing the topological index Z and caterpillar graph. The continuant which was introduced by Euler in 18 century for solving continued fraction problems was shown to be identical to the Z-index of the caterpillar graph derived from the continued fraction concerned. Then the fastest algorithm for solving the Pell equations was obtained. Further, graph-theoretical interpretation for Fibonacci and Lucas numbers, and generalized Fibonacci numbers was obtained.","subitem_description_type":"Other"}]},"item_11_full_name_2":{"attribute_name":"著者(ヨミ)","attribute_value_mlt":[{"nameIdentifiers":[{"nameIdentifier":"70939","nameIdentifierScheme":"WEKO"}],"names":[{"name":"ホソヤ, ハルオ"}]}]},"item_11_publisher_36":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"お茶の水女子大学"}]},"item_11_select_19":{"attribute_name":"著者版フラグ","attribute_value_mlt":[{"subitem_select_item":"publisher"}]},"item_11_source_id_11":{"attribute_name":"書誌レコードID","attribute_value_mlt":[{"subitem_source_identifier":"AN00033958","subitem_source_identifier_type":"NCID"}]},"item_11_source_id_9":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"00298190","subitem_source_identifier_type":"ISSN"}]},"item_11_subject_20":{"attribute_name":"日本十進分類法","attribute_value_mlt":[{"subitem_subject":"400","subitem_subject_scheme":"NDC"}]},"item_11_text_18":{"attribute_name":"形態","attribute_value_mlt":[{"subitem_text_value":"698869 bytes"}]},"item_11_text_47":{"attribute_name":"資源タイプ・ローカル","attribute_value_mlt":[{"subitem_text_value":"紀要論文"}]},"item_11_text_48":{"attribute_name":"資源タイプ・NII","attribute_value_mlt":[{"subitem_text_value":"Departmental Bulletin Paper"}]},"item_11_text_49":{"attribute_name":"資源タイプ・DCMI","attribute_value_mlt":[{"subitem_text_value":"text"}]},"item_11_text_50":{"attribute_name":"資源タイプ・ローカル表示コード","attribute_value_mlt":[{"subitem_text_value":"03"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Hosoya, Haruo"}],"nameIdentifiers":[{"nameIdentifier":"70938","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":"2018-04-19"}],"displaytype":"detail","filename":"58-1p.15-28.pdf","filesize":[{"value":"698.9 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"58-1p.15-28.pdf","url":"https://teapot.lib.ocha.ac.jp/record/34614/files/58-1p.15-28.pdf"},"version_id":"8d56dbe5-58f0-4010-ba71-3680e982d2bf"}]},"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":"departmental bulletin paper","resourceuri":"http://purl.org/coar/resource_type/c_6501"}]},"item_title":"Continuant, caterpillar, and topological index Z. Fastest algorithm for degrading a continued fraction","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Continuant, caterpillar, and topological index Z. Fastest algorithm for degrading a continued fraction"}]},"item_type_id":"11","owner":"1","path":["685"],"pubdate":{"attribute_name":"公開日","attribute_value":"2009-10-22"},"publish_date":"2009-10-22","publish_status":"0","recid":"34614","relation_version_is_last":true,"title":["Continuant, caterpillar, and topological index Z. Fastest algorithm for degrading a continued fraction"],"weko_creator_id":"1","weko_shared_id":null},"updated":"2022-12-12T05:38:58.534961+00:00"}