{"created":"2023-05-25T05:22:56.351769+00:00","id":265,"links":{},"metadata":{"_buckets":{"deposit":"35a05083-4236-40bc-b393-804d2230e59b"},"_deposit":{"created_by":3,"id":"265","owners":[3],"pid":{"revision_id":0,"type":"depid","value":"265"},"status":"published"},"_oai":{"id":"oai:yamagata.repo.nii.ac.jp:00000265","sets":["34:36"]},"author_link":["1154","1152","1151","1153"],"item_3_alternative_title_18":{"attribute_name":"その他の言語のタイトル","attribute_value_mlt":[{"subitem_alternative_title":"商vectorと夫によるvector積分法則の代数化"}]},"item_3_biblio_info_6":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"1950-09-30","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"1","bibliographicPageEnd":"210","bibliographicPageStart":"181","bibliographicVolumeNumber":"1","bibliographic_titles":[{"bibliographic_title":"山形大学紀要.工学"}]}]},"item_3_description_42":{"attribute_name":"資源タイプ","attribute_value_mlt":[{"subitem_description":"論文(Article)","subitem_description_type":"Other"}]},"item_3_description_5":{"attribute_name":"内容記述","attribute_value_mlt":[{"subitem_description":"3次元vector算に於ける數値積，内積，外積等種々の積の逆算を考察し之に依り内零因子，外零因子，内逆元，内商，外商等を求め内逆元から内積に関しvectorの一般整数巾(ベキ)を定義しvector代數に除法を導入した，叉Hamilton作用素(演算子)∇ (nabla)の逆元∇^(-1)によつて従來Pot， New， Max， Lapとして知られていた積分演算子の法則をvector除法の代数に歸する事が出来た，就中[A[BC]]=(CA)B-(AB)Cに於てA=B=∇として ∇^2A=∇divA-rot rotAを得ると同様に， A=^(-1)， B=D， C=Xとして[D^(-1)[DX]]=D(D^(-1)X)-(D^(-1)D)X=D(D^(-1X))--XからvectorXのDに平行，垂直兩成分への分解式X=X_Ⅱ+X_⊥=D(D^(-1)X)-[D^(-1)[DX]]を得，更に此Dを∇(nabla)と解釋して任意のvector場を泉成分X_dと渦成分X_γに分解する公式X=X_d+X_γ=∇(∇^(-1)X)-[∇^(-1)[∇X]=grad grad^(-1)X-rot^(-1)rotX=div^(-1)divX-rot rot^(-1)X=∇^(-2){∇divX-rot rotX}を得，之等の代数的同一性を示し，周知の逆vector系も本逆vecterの1種である事を示し，vectorは和と外積に関しLie環である事も指摘した。","subitem_description_type":"Other"}]},"item_3_full_name_3":{"attribute_name":"著者別名","attribute_value_mlt":[{"nameIdentifiers":[{"nameIdentifier":"1153","nameIdentifierScheme":"WEKO"}],"names":[{"name":"岡田,  幸雄"}]},{"nameIdentifiers":[{"nameIdentifier":"1154","nameIdentifierScheme":"WEKO"}],"names":[{"name":"保科,  正吉"}]}]},"item_3_publisher_32":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"山形大学"}]},"item_3_source_id_9":{"attribute_name":"書誌レコードID","attribute_value_mlt":[{"subitem_source_identifier":"AN00242991","subitem_source_identifier_type":"NCID"}]},"item_3_text_33":{"attribute_name":"出版者（ヨミ）","attribute_value_mlt":[{"subitem_text_value":"ヤマガタ ダイガク"}]},"item_3_text_34":{"attribute_name":"別言語の出版者","attribute_value_mlt":[{"subitem_text_value":"Yamagata University"}]},"item_3_text_43":{"attribute_name":"資源タイプ・ローカル","attribute_value_mlt":[{"subitem_text_value":"紀要論文"}]},"item_3_text_44":{"attribute_name":"資源タイプ・NII","attribute_value_mlt":[{"subitem_text_value":"Departmental Bulletin Paper"}]},"item_3_text_45":{"attribute_name":"資源タイプ・DCMI","attribute_value_mlt":[{"subitem_text_value":"text"}]},"item_3_text_46":{"attribute_name":"資源タイプ・ローカル表示コード","attribute_value_mlt":[{"subitem_text_value":"2"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Okada,  Sachio"}],"nameIdentifiers":[{"nameIdentifier":"1151","nameIdentifierScheme":"WEKO"}]},{"creatorNames":[{"creatorName":"Hoshina,  Shokichi"}],"nameIdentifiers":[{"nameIdentifier":"1152","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":"2015-08-21"}],"displaytype":"detail","filename":"kiyoue-01-1-14-1_merged.pdf","filesize":[{"value":"1.4 MB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"kiyoue-01-1-14-1_merged.pdf","url":"https://yamagata.repo.nii.ac.jp/record/265/files/kiyoue-01-1-14-1_merged.pdf"},"version_id":"92a84737-9a1d-4d7a-886a-7683f57f9a53"}]},"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":"Quotient Vectors and AlgebraifiCation of Integral Vector Laws by Them","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Quotient Vectors and AlgebraifiCation of Integral Vector Laws by Them"}]},"item_type_id":"3","owner":"3","path":["36"],"pubdate":{"attribute_name":"公開日","attribute_value":"2007-02-28"},"publish_date":"2007-02-28","publish_status":"0","recid":"265","relation_version_is_last":true,"title":["Quotient Vectors and AlgebraifiCation of Integral Vector Laws by Them"],"weko_creator_id":"3","weko_shared_id":-1},"updated":"2023-05-25T07:21:21.338257+00:00"}