{"created":"2024-04-18T02:12:01.402259+00:00","id":2000057,"links":{},"metadata":{"_buckets":{"deposit":"fe6ba606-7f89-4e5c-9615-e7c2ab81b776"},"_deposit":{"created_by":16,"id":"2000057","owners":[16],"pid":{"revision_id":0,"type":"depid","value":"2000057"},"status":"published"},"_oai":{"id":"oai:mue.repo.nii.ac.jp:02000057","sets":["1:3:1713337821296"]},"author_link":["1633"],"control_number":"2000057","item_1_biblio_info_14":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2024-03-31","bibliographicIssueDateType":"Issued"},"bibliographicPageEnd":"198","bibliographicPageStart":"181","bibliographicVolumeNumber":"58","bibliographic_titles":[{"bibliographic_title":"宮城教育大学紀要","bibliographic_titleLang":"ja"}]}]},"item_1_creator_6":{"attribute_name":"著者名(日)","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"佐藤, 得志"}],"nameIdentifiers":[{"nameIdentifier":"1633","nameIdentifierScheme":"WEKO"},{"nameIdentifier":"9000002360455","nameIdentifierScheme":"CiNii ID","nameIdentifierURI":"https://ci.nii.ac.jp/nrid/9000002360455"}]}]},"item_1_description_11":{"attribute_name":"抄録(日)","attribute_value_mlt":[{"subitem_description":"自然数の累乗和の公式については，累乗の指数が３以下の場合には高等学校の「数学B」においても扱われる．本稿においては，これを一般の指数に拡張した場合の累乗和の公式について，原理的には高校生や大学生でも理解できるような素朴な方法で，その導出方法について解説する．そのために，２種類の添数に関する実数の和の順序交換に関する性質を用いるが，これについても解説する．"}]},"item_1_description_12":{"attribute_name":"抄録(英)","attribute_value_mlt":[{"subitem_description":"The formula for sum of powers of positive integers is treated in Mathematics B of Japanese high school mathematics in the case that the exponent of the power is less than or equal to 3. In this paper, we will discuss the case with a general exponent of the power, and explain how to derive the formula, by using a simple method that even high school and university students can understand in principle. To this end, we will use properties concerned with exchanging the order of the sum of real numbers with respect to two types of indices, which will also be explained.","subitem_description_language":"en"}]},"item_1_source_id_13":{"attribute_name":"雑誌書誌ID","attribute_value_mlt":[{"subitem_source_identifier":"AA1125110X","subitem_source_identifier_type":"NCID"}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_access","date":[{"dateType":"Available","dateValue":"2024-04-18"}],"filename":"14-00019佐藤先生.pdf","filesize":[{"value":"550 KB"}],"format":"application/pdf","licensetype":"license_11","mimetype":"application/pdf","url":{"label":"一般の累乗和の公式の導出について","url":"https://mue.repo.nii.ac.jp/record/2000057/files/14-00019佐藤先生.pdf"},"version_id":"1e702528-5eb6-404e-9b25-94aa4a5c5311"}]},"item_keyword":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":"累乗和","subitem_subject_scheme":"Other"},{"subitem_subject":"有限集合","subitem_subject_scheme":"Other"},{"subitem_subject":"実数の有限和","subitem_subject_scheme":"Other"},{"subitem_subject":"実数の和の順序交換","subitem_subject_scheme":"Other"},{"subitem_subject":"sum of powers of positive integers","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"finite set","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"finite sum of real numbers","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"exchanging the order of sum of real numbers","subitem_subject_language":"en","subitem_subject_scheme":"Other"}]},"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":"一般の累乗和の公式の導出について","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"一般の累乗和の公式の導出について","subitem_title_language":"ja"},{"subitem_title":"On a derivation of formula for sum of powers of positive integers","subitem_title_language":"en"}]},"item_type_id":"1","owner":"16","path":["1713337821296"],"pubdate":{"attribute_name":"PubDate","attribute_value":"2024-04-18"},"publish_date":"2024-04-18","publish_status":"0","recid":"2000057","relation_version_is_last":true,"title":["一般の累乗和の公式の導出について"],"weko_creator_id":"16","weko_shared_id":-1},"updated":"2024-04-18T06:34:31.726546+00:00"}