{"created":"2023-05-15T08:42:50.492281+00:00","id":579,"links":{},"metadata":{"_buckets":{"deposit":"83286d79-c992-40b5-bd98-f854b12c9249"},"_deposit":{"created_by":13,"id":"579","owners":[13],"pid":{"revision_id":0,"type":"depid","value":"579"},"status":"published"},"_oai":{"id":"oai:aulib.repo.nii.ac.jp:00000579","sets":["7:51:84"]},"author_link":["936","937"],"item_2_biblio_info_12":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2007-12-01","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"64","bibliographicPageEnd":"24","bibliographicPageStart":"15","bibliographic_titles":[{"bibliographic_title":"旭川大学紀要","bibliographic_titleLang":"ja"},{"bibliographic_title":"The journal of the Asahikawa University","bibliographic_titleLang":"en"}]}]},"item_2_description_10":{"attribute_name":"抄録(日)","attribute_value_mlt":[{"subitem_description":"関数の凹凸性は数学の重要な概念であり,現在最適化問題の目的関数として自然科学や社会科学の多くの分野で幅広く応用されている。本論文では関数の凹凸性の教育に存在する問題点を整理し,関数とグラフとが結び付く直感性強化型教授法を提案している。一変数微分可能な関数の凹凸性と単調性の判別法とその性質の応用を典型的な関数を例に出来るだけ分かりやすく説明し,凹関数の実際への応用と数値解析法を紹介した。凹凸関数の学習者が持っている困惑を解消し.凹凸関数の有用性を実感しながら数学への関心を深めるのに少しでも役に立つことを期待している。","subitem_description_language":"ja","subitem_description_type":"Abstract"}]},"item_2_description_11":{"attribute_name":"抄録(英)","attribute_value_mlt":[{"subitem_description":"Concave and convex are important concepts in the mathematics. They are widely applied in optimization process both by natural science and social science. In this article, how to make it easier to understand concave and convex of a function for students is discussed. An intuitive teaching way, to connect the function with its graph, was proposed. Using simply but typical functions as examples, how to discriminate and use a function's concave (or convex) and its monotonicity are explained as easy as we can. At same time, the method of numerical analyses with complex function which is applied in research is discussed and the usefulness of concave function is also introduced. I hope this paper is useful to enlighten understanding difficulties about concave and convex to students, therefore they can find useful of concave (and convex) function and deepen their interest in mathematics.","subitem_description_language":"en","subitem_description_type":"Abstract"}]},"item_2_description_8":{"attribute_name":"記事種別(日)","attribute_value_mlt":[{"subitem_description":"論文","subitem_description_type":"Other"}]},"item_2_description_9":{"attribute_name":"記事種別(英)","attribute_value_mlt":[{"subitem_description":"Article","subitem_description_type":"Other"}]},"item_2_source_id_1":{"attribute_name":"雑誌書誌ID","attribute_value_mlt":[{"subitem_source_identifier":"AN00010679","subitem_source_identifier_type":"NCID"}]},"item_2_source_id_19":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"02863863","subitem_source_identifier_type":"PISSN"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"張, 興和","creatorNameLang":"ja"},{"creatorName":"チョウ, コウワ","creatorNameLang":"ja-Kana"}],"nameIdentifiers":[{}]},{"creatorNames":[{"creatorName":"Zhang, Xinghe","creatorNameLang":"en"}],"nameIdentifiers":[{}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2017-01-27"}],"displaytype":"detail","filename":"KJ00005242082.pdf","filesize":[{"value":"511.0 kB"}],"format":"application/pdf","licensetype":"license_11 ","mimetype":"application/pdf","url":{"label":"KJ00005242082.pdf","url":"https://aulib.repo.nii.ac.jp/record/579/files/KJ00005242082.pdf"},"version_id":"b760c05a-48fe-46b0-adb3-db2c3b82d23d"}]},"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":"凸している凹関数の困惑解消と実際応用","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"凸している凹関数の困惑解消と実際応用","subitem_title_language":"ja"},{"subitem_title":"Quandary resolution about the concave function and its application","subitem_title_language":"en"}]},"item_type_id":"2","owner":"13","path":["84"],"pubdate":{"attribute_name":"PubDate","attribute_value":"2017-01-27"},"publish_date":"2017-01-27","publish_status":"0","recid":"579","relation_version_is_last":true,"title":["凸している凹関数の困惑解消と実際応用"],"weko_creator_id":"13","weko_shared_id":-1},"updated":"2023-08-21T01:29:33.311656+00:00"}