{"created":"2021-03-01T06:39:54.848003+00:00","id":34615,"links":{},"metadata":{"_buckets":{"deposit":"e72f642a-f666-4334-930d-6fcefa96db09"},"_deposit":{"id":"34615","owners":[],"pid":{"revision_id":0,"type":"depid","value":"34615"},"status":"published"},"_oai":{"id":"oai:teapot.lib.ocha.ac.jp:00034615","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":"37","bibliographicPageStart":"29","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":"The fastest algorithm for solving the Pell equations, x^2-Dy^2=1 (called Pell-1) and x^2-Dy^2=-1 (Llep-1) , are demonstrated with two typical examples. The essence of the algorithm is i) to obtain the periodic continued fraction expression for the square root of D, ii) to prepare four caterpillar graphs by using the terms derived above, and iii) to set a 3×3(for Pell) or 2×2(for Llep) determinant whose elements are the topological indices (Z’s) of those graphs, and iv) to calculate the determinant. The dramatic shortening of the procedure comes from the finding that the continuant is equivalent to the topological index of the caterpillar graph directly derived from the continued fraction expansion of the square root of D.","subitem_description_type":"Other"}]},"item_11_full_name_2":{"attribute_name":"著者(ヨミ)","attribute_value_mlt":[{"nameIdentifiers":[{"nameIdentifier":"70941","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":"402759 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":"70940","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.29-37.pdf","filesize":[{"value":"402.8 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"58-1p.29-37.pdf","url":"https://teapot.lib.ocha.ac.jp/record/34615/files/58-1p.29-37.pdf"},"version_id":"16b8c58f-ae07-4c0c-b768-72c0b9b9698b"}]},"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":"Pell Equation. IV.  Fastest algorithm for solving the Pell equation","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Pell Equation. IV.  Fastest algorithm for solving the Pell equation"}]},"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":"34615","relation_version_is_last":true,"title":["Pell Equation. IV.  Fastest algorithm for solving the Pell equation"],"weko_creator_id":"1","weko_shared_id":null},"updated":"2022-12-12T05:38:58.616737+00:00"}