{"created":"2021-03-01T06:39:54.437734+00:00","id":34609,"links":{},"metadata":{"_buckets":{"deposit":"b40d6a8a-c906-4826-828b-b485fa3640ea"},"_deposit":{"id":"34609","owners":[],"pid":{"revision_id":0,"type":"depid","value":"34609"},"status":"published"},"_oai":{"id":"oai:teapot.lib.ocha.ac.jp:00034609","sets":["347:359:687"]},"item_11_biblio_info_8":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2008-08","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"1","bibliographicPageEnd":"34","bibliographicPageStart":"19","bibliographicVolumeNumber":"59","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":"Systematic relations between the algebra of the Pell equations, x^2 - Dy^2 = 1 (called Pell-1) and x^2 - Dy^2 = -1 (called Llep-1), and the geometry of Pythagorean triangles or Pythagorean triples (PTs) are discussed. Although Llep-1 is solvable only for a limited number (though extending to infinity) of D values, such an algorithm is obtained that can construct a series of PTs corresponding to each D and involving rational number approximation of the square root of D. In the case of Pell-1, which is solvable for all square-free D, a simple algorithm is found for odd D, whereas some modification is necessary for even D. For each series of PTs thus obtained interesting properties regarding their recursive relations are found.","subitem_description_type":"Other"}]},"item_11_full_name_2":{"attribute_name":"著者(ヨミ)","attribute_value_mlt":[{"nameIdentifiers":[{"nameIdentifier":"70991","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":"610104 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":"70990","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":"59-1p.19-34.pdf","filesize":[{"value":"610.1 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"59-1p.19-34.pdf","url":"https://teapot.lib.ocha.ac.jp/record/34609/files/59-1p.19-34.pdf"},"version_id":"05190f97-9ae8-4579-94d5-b18cd0b87584"}]},"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. V. Systematic relation between the Pythagorean triples and Pell equations","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Pell Equation. V. Systematic relation between the Pythagorean triples and Pell equations"}]},"item_type_id":"11","owner":"1","path":["687"],"pubdate":{"attribute_name":"公開日","attribute_value":"2009-10-23"},"publish_date":"2009-10-23","publish_status":"0","recid":"34609","relation_version_is_last":true,"title":["Pell Equation. V. Systematic relation between the Pythagorean triples and Pell equations"],"weko_creator_id":"1","weko_shared_id":null},"updated":"2022-12-12T05:38:55.523569+00:00"}