{"_buckets": {"deposit": "2a3e705b-f1ec-4a32-9675-c2a24960e5c6"}, "_deposit": {"id": "34602", "owners": [], "pid": {"revision_id": 0, "type": "depid", "value": "34602"}, "status": "published"}, "_oai": {"id": "oai:teapot.lib.ocha.ac.jp:00034602", "sets": ["688"]}, "item_11_biblio_info_8": {"attribute_name": "書誌情報", "attribute_value_mlt": [{"bibliographicIssueDates": {"bibliographicIssueDate": "2009-02-27", "bibliographicIssueDateType": "Issued"}, "bibliographicIssueNumber": "2", "bibliographicPageEnd": "14", "bibliographicPageStart": "1", "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": "A Pythagorean triple (PT) composed of a pair of legs, a and b, and hypotenuse, c, is trebly classified and registered by using three differences (Δ, δ, d) among (a b c). Recursive relations among the members of the same group thus classified are extensively studied. These recursive properties are found to be related to the Hall\u0027s matrices, U, A, and D, by the operator technique which has been proposed by the present author in 1983. The complicated mathematical structure of PT\u0027s under U, A, and D can be greatly simplified by using U^\u003c1/n\u003e and D^\u003c1/n\u003e, which were found to have simple analytical expressions. Further, a number of newly found interesting mathematical properties of PT\u0027s are introduced.", "subitem_description_type": "Other"}]}, "item_11_full_name_2": {"attribute_name": "著者(ヨミ)", "attribute_value_mlt": [{"nameIdentifiers": [{"nameIdentifier": "70997", "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": "18121362 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": "70996", "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", "download_preview_message": "", "file_order": 0, "filename": "59-2p.1-14.pdf", "filesize": [{"value": "18.1 MB"}], "format": "application/pdf", "future_date_message": "", "is_thumbnail": false, "licensetype": "license_free", "mimetype": "application/pdf", "size": 18100000.0, "url": {"label": "59-2p.1-14.pdf", "url": "https://teapot.lib.ocha.ac.jp/record/34602/files/59-2p.1-14.pdf"}, "version_id": "847e0658-90d2-490c-9770-50c11f7d3c2f"}]}, "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": "Pythagorean triples. I. Classification and systematization", "item_titles": {"attribute_name": "タイトル", "attribute_value_mlt": [{"subitem_title": "Pythagorean triples. I. Classification and systematization"}]}, "item_type_id": "11", "owner": "1", "path": ["688"], "permalink_uri": "http://hdl.handle.net/10083/35238", "pubdate": {"attribute_name": "公開日", "attribute_value": "2009-10-23"}, "publish_date": "2009-10-23", "publish_status": "0", "recid": "34602", "relation": {}, "relation_version_is_last": true, "title": ["Pythagorean triples. I. Classification and systematization"], "weko_shared_id": null}