{"id":2157,"date":"2020-05-18T12:51:32","date_gmt":"2020-05-18T03:51:32","guid":{"rendered":"https:\/\/home.hiroshima-u.ac.jp\/~mafujii\/?page_id=2157"},"modified":"2025-05-22T15:27:36","modified_gmt":"2025-05-22T06:27:36","slug":"%e8%a8%88%e7%ae%97%e6%95%b0%e7%90%86a%e6%bc%94%e7%bf%92%e7%ac%ac12%e5%9b%9e","status":"publish","type":"page","link":"https:\/\/home.hiroshima-u.ac.jp\/~mafujii\/%e6%8e%88%e6%a5%ad%e8%b3%87%e6%96%99\/%e8%a8%88%e7%ae%97%e6%95%b0%e7%90%86a%e6%bc%94%e7%bf%92\/%e8%a8%88%e7%ae%97%e6%95%b0%e7%90%86a%e6%bc%94%e7%bf%92%e7%ac%ac12%e5%9b%9e\/","title":{"rendered":"\u8a08\u7b97\u6570\u7406A\u6f14\u7fd2\u7b2c12\u56de"},"content":{"rendered":"\r\n\r\n\r\n<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_82_2 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<p class=\"ez-toc-title\" style=\"cursor:inherit\">\u30b3\u30f3\u30c6\u30f3\u30c4<\/p>\n<label for=\"ez-toc-cssicon-toggle-item-69eb94cdabbc0\" class=\"ez-toc-cssicon-toggle-label\"><span class=\"\"><span class=\"eztoc-hide\" style=\"display:none;\">Toggle<\/span><span class=\"ez-toc-icon-toggle-span\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/span><\/label><input type=\"checkbox\"  id=\"ez-toc-cssicon-toggle-item-69eb94cdabbc0\" checked 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href=\"https:\/\/home.hiroshima-u.ac.jp\/~mafujii\/%e6%8e%88%e6%a5%ad%e8%b3%87%e6%96%99\/%e8%a8%88%e7%ae%97%e6%95%b0%e7%90%86a%e6%bc%94%e7%bf%92\/%e8%a8%88%e7%ae%97%e6%95%b0%e7%90%86a%e6%bc%94%e7%bf%92%e7%ac%ac12%e5%9b%9e\/#%e3%82%a2%e3%83%ab%e3%82%b4%e3%83%aa%e3%82%ba%e3%83%a0\" >\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0<\/a><ul class='ez-toc-list-level-4' ><li class='ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/home.hiroshima-u.ac.jp\/~mafujii\/%e6%8e%88%e6%a5%ad%e8%b3%87%e6%96%99\/%e8%a8%88%e7%ae%97%e6%95%b0%e7%90%86a%e6%bc%94%e7%bf%92\/%e8%a8%88%e7%ae%97%e6%95%b0%e7%90%86a%e6%bc%94%e7%bf%92%e7%ac%ac12%e5%9b%9e\/#%e8%aa%b2%e9%a1%8c%ef%bc%91\" >\u8ab2\u984c\uff11<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/home.hiroshima-u.ac.jp\/~mafujii\/%e6%8e%88%e6%a5%ad%e8%b3%87%e6%96%99\/%e8%a8%88%e7%ae%97%e6%95%b0%e7%90%86a%e6%bc%94%e7%bf%92\/%e8%a8%88%e7%ae%97%e6%95%b0%e7%90%86a%e6%bc%94%e7%bf%92%e7%ac%ac12%e5%9b%9e\/#%e8%aa%b2%e9%a1%8c%ef%bc%92\" >\u8ab2\u984c\uff12<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/home.hiroshima-u.ac.jp\/~mafujii\/%e6%8e%88%e6%a5%ad%e8%b3%87%e6%96%99\/%e8%a8%88%e7%ae%97%e6%95%b0%e7%90%86a%e6%bc%94%e7%bf%92\/%e8%a8%88%e7%ae%97%e6%95%b0%e7%90%86a%e6%bc%94%e7%bf%92%e7%ac%ac12%e5%9b%9e\/#%e8%aa%b2%e9%a1%8c%ef%bc%93\" >\u8ab2\u984c\uff13<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/home.hiroshima-u.ac.jp\/~mafujii\/%e6%8e%88%e6%a5%ad%e8%b3%87%e6%96%99\/%e8%a8%88%e7%ae%97%e6%95%b0%e7%90%86a%e6%bc%94%e7%bf%92\/%e8%a8%88%e7%ae%97%e6%95%b0%e7%90%86a%e6%bc%94%e7%bf%92%e7%ac%ac12%e5%9b%9e\/#%e8%aa%b2%e9%a1%8c%ef%bc%94\" >\u8ab2\u984c\uff14<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/home.hiroshima-u.ac.jp\/~mafujii\/%e6%8e%88%e6%a5%ad%e8%b3%87%e6%96%99\/%e8%a8%88%e7%ae%97%e6%95%b0%e7%90%86a%e6%bc%94%e7%bf%92\/%e8%a8%88%e7%ae%97%e6%95%b0%e7%90%86a%e6%bc%94%e7%bf%92%e7%ac%ac12%e5%9b%9e\/#%e8%aa%b2%e9%a1%8c%ef%bc%95\" >\u8ab2\u984c\uff15<\/a><ul class='ez-toc-list-level-5' ><li class='ez-toc-heading-level-5'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/home.hiroshima-u.ac.jp\/~mafujii\/%e6%8e%88%e6%a5%ad%e8%b3%87%e6%96%99\/%e8%a8%88%e7%ae%97%e6%95%b0%e7%90%86a%e6%bc%94%e7%bf%92\/%e8%a8%88%e7%ae%97%e6%95%b0%e7%90%86a%e6%bc%94%e7%bf%92%e7%ac%ac12%e5%9b%9e\/#%e5%b0%8f%e3%83%8d%e3%82%bf%ef%bc%9a%e9%80%a3%e7%b5%90%e3%83%90%e3%83%8d%e7%b3%bb%e3%81%ab%e3%81%a4%e3%81%84%e3%81%a6%e2%80%a6\" >\u5c0f\u30cd\u30bf\uff1a\u9023\u7d50\u30d0\u30cd\u7cfb\u306b\u3064\u3044\u3066&#8230;<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-10\" href=\"https:\/\/home.hiroshima-u.ac.jp\/~mafujii\/%e6%8e%88%e6%a5%ad%e8%b3%87%e6%96%99\/%e8%a8%88%e7%ae%97%e6%95%b0%e7%90%86a%e6%bc%94%e7%bf%92\/%e8%a8%88%e7%ae%97%e6%95%b0%e7%90%86a%e6%bc%94%e7%bf%92%e7%ac%ac12%e5%9b%9e\/#%e7%99%ba%e5%b1%95%e5%95%8f%e9%a1%8c\" >\u767a\u5c55\u554f\u984c<\/a><ul class='ez-toc-list-level-5' ><li class='ez-toc-heading-level-5'><a class=\"ez-toc-link ez-toc-heading-11\" href=\"https:\/\/home.hiroshima-u.ac.jp\/~mafujii\/%e6%8e%88%e6%a5%ad%e8%b3%87%e6%96%99\/%e8%a8%88%e7%ae%97%e6%95%b0%e7%90%86a%e6%bc%94%e7%bf%92\/%e8%a8%88%e7%ae%97%e6%95%b0%e7%90%86a%e6%bc%94%e7%bf%92%e7%ac%ac12%e5%9b%9e\/#%e5%b0%8f%e3%83%8d%e3%82%bf%ef%bc%9a%e3%83%99%e3%82%af%e3%83%88%e3%83%ab%e6%bc%94%e7%ae%97\" >\u5c0f\u30cd\u30bf\uff1a\u30d9\u30af\u30c8\u30eb\u6f14\u7b97<\/a><\/li><\/ul><\/li><\/ul><\/li><\/ul><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<h1><span class=\"ez-toc-section\" id=\"%e7%ac%ac%ef%bc%91%ef%bc%92%e5%9b%9e\"><\/span>\u7b2c\uff11\uff12\u56de<span class=\"ez-toc-section-end\"><\/span><\/h1>\r\n<h2><span class=\"ez-toc-section\" id=\"%e9%80%a3%e7%b5%90%e3%83%90%e3%83%8d%e7%b3%bb\"><\/span>\u9023\u7d50\u30d0\u30cd\u7cfb<span class=\"ez-toc-section-end\"><\/span><\/h2>\r\n\r\n\r\n<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-3366\" src=\"https:\/\/home.hiroshima-u.ac.jp\/~mafujii\/wordpress\/wp-content\/uploads\/2024\/05\/bane.png\" alt=\"\" width=\"612\" height=\"126\" srcset=\"https:\/\/home.hiroshima-u.ac.jp\/~mafujii\/wordpress\/wp-content\/uploads\/2024\/05\/bane.png 612w, https:\/\/home.hiroshima-u.ac.jp\/~mafujii\/wordpress\/wp-content\/uploads\/2024\/05\/bane-300x62.png 300w\" sizes=\"auto, (max-width: 612px) 100vw, 612px\" \/><\/p>\n\r\n\r\n\r\n\r\n\r\n<p>\u524d\u56de\u3001\u524d\u3005\u56de\u3068\u504f\u5fae\u5206\u65b9\u7a0b\u5f0f\u306e\u6570\u5024\u89e3\u6cd5\u306b\u3064\u3044\u3066\u6f14\u7fd2\u3092\u884c\u3044\u307e\u3057\u305f\u304c\u3001\u4eca\u56de\u306f\u4eca\u4e00\u5ea6\u30aa\u30a4\u30e9\u30fc\u6cd5\u3068\u30eb\u30f3\u30b2\u30af\u30c3\u30bf\u6cd5\u3092\u7528\u3044\u305f\u6570\u5024\u89e3\u6cd5\u306b\u53d6\u308a\u7d44\u307f\u307e\u3059\u3002<br \/>\u4eca\u56de\u306f\u3001\u6b21\u306e\u3088\u3046\u306b x \u8ef8\u4e0a\u306b\u30d0\u30cd\u3092\u4e26\u3079\u3001\u304a\u3082\u308a\u3067\u3064\u306a\u3052\u305f\u5834\u5408\u3069\u306e\u3088\u3046\u306a\u904b\u52d5\u3092\u3059\u308b\u304b\u3001\u6570\u5024\u7684\u306b\u8a08\u7b97\u3057\u3066\u307f\u307e\u3057\u3087\u3046\u3002<br \/>\u305f\u3060\u3057\u3001\u5168\u3066\u306e\u30d0\u30cd\u306e\u81ea\u7136\u9577 R (\u4f38\u3073\u3082\u7e2e\u307f\u3082\u3057\u3066\u3044\u306a\u3044\u3068\u304d\u306e\u9577\u3055)\u3068\u30d0\u30cd\u5b9a\u6570\u304c\u540c\u3058\u3067\u3001\u304a\u3082\u308a\u306e\u8cea\u91cf\u3082\u540c\u3058\u3068\u3057\u307e\u3059\u3002<br \/><br clear=\"all\" \/>\u5de6\u306e\u304a\u3082\u308a\u304b\u3089\u9806\u306b 0, 1, &#8230;, N, N+1 \u3068\u756a\u53f7\u3092\u632f\u308a\u307e\u3059\u3002<br \/>\u5168\u3066\u306e\u30d0\u30cd\u304c\u4f38\u3073\u3082\u7e2e\u307f\u3082\u3057\u3066\u3044\u306a\u3044\u72b6\u614b\u3067\u3042\u308c\u3070\u3001j \u756a\u76ee\u306e\u304a\u3082\u308a\u306e\u4f4d\u7f6e\u306f\u30d0\u30cd\u306e\u81ea\u7136\u9577 R \u3092\u7528\u3044\u3066\u3001j*R \u3068\u66f8\u3051\u307e\u3059\u3002<br \/>\u3053\u308c\u3092\u7528\u3044\u308b\u3068\u3001j \u756a\u76ee(j \u2260 0, j \u2260 N+1)\u306e\u304a\u3082\u308a\u306e\u904b\u52d5\u306f\u3001j*R \u304b\u3089\u306e\u30ba\u30ec <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/home.hiroshima-u.ac.jp\/~mafujii\/wordpress\/wp-content\/ql-cache\/quicklatex.com-96175939671012225c6ebb5b4b67a92d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#121;&#95;&#106;\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"15\" style=\"vertical-align: -6px;\"\/> \u3092\u7528\u3044\u3066\u6b21\u306e\u3088\u3046\u306b\u66f8\u3051\u307e\u3059\u3002<\/p>\r\n\r\n\r\n\r\n<p><p class=\"ql-center-displayed-equation\" style=\"line-height: 65px;\"><span class=\"ql-right-eqno\"> (1) <\/span><span class=\"ql-left-eqno\"> &nbsp; <\/span><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/home.hiroshima-u.ac.jp\/~mafujii\/wordpress\/wp-content\/ql-cache\/quicklatex.com-e0991408fb806a3150899a23361af5f5_l3.png\" height=\"65\" width=\"656\" class=\"ql-img-displayed-equation quicklatex-auto-format\" alt=\"&#92;&#98;&#101;&#103;&#105;&#110;&#123;&#101;&#113;&#117;&#97;&#116;&#105;&#111;&#110;&#42;&#125;&#92;&#108;&#101;&#102;&#116;&#92;&#123;&#32;&#92;&#98;&#101;&#103;&#105;&#110;&#123;&#97;&#114;&#114;&#97;&#121;&#125;&#123;&#108;&#125;&#92;&#100;&#100;&#111;&#116;&#123;&#121;&#125;&#95;&#106;&#40;&#116;&#41;&#32;&#61;&#32;&#45;&#92;&#111;&#109;&#101;&#103;&#97;&#94;&#50;&#40;&#121;&#95;&#106;&#40;&#116;&#41;&#32;&#45;&#32;&#121;&#95;&#123;&#106;&#45;&#49;&#125;&#40;&#116;&#41;&#41;&#32;&#45;&#32;&#92;&#111;&#109;&#101;&#103;&#97;&#94;&#50;&#40;&#121;&#95;&#106;&#40;&#116;&#41;&#32;&#45;&#32;&#121;&#95;&#123;&#106;&#43;&#49;&#125;&#40;&#116;&#41;&#41;&#32;&#61;&#32;&#92;&#111;&#109;&#101;&#103;&#97;&#94;&#50;&#40;&#121;&#95;&#123;&#106;&#45;&#49;&#125;&#40;&#116;&#41;&#32;&#45;&#32;&#50;&#32;&#121;&#95;&#123;&#106;&#125;&#40;&#116;&#41;&#32;&#43;&#32;&#121;&#95;&#123;&#106;&#43;&#49;&#125;&#40;&#116;&#41;&#41;&#32;&#92;&#92;&#121;&#95;&#106;&#40;&#48;&#41;&#32;&#32;&#61;&#32;&#48;&#32;&#92;&#92;&#92;&#100;&#111;&#116;&#123;&#121;&#125;&#95;&#106;&#40;&#48;&#41;&#32;&#61;&#32;&#48;&#92;&#101;&#110;&#100;&#123;&#97;&#114;&#114;&#97;&#121;&#125;&#92;&#114;&#105;&#103;&#104;&#116;&#46;&#92;&#101;&#110;&#100;&#123;&#101;&#113;&#117;&#97;&#116;&#105;&#111;&#110;&#42;&#125;\" title=\"Rendered by QuickLaTeX.com\"\/><\/p><\/p>\r\n\r\n\r\n\r\n<p>0 \u756a\u76ee\u3068 N+1 \u756a\u76ee\u306e\u304a\u3082\u308a\u306f\u56fa\u5b9a\u3055\u308c\u3066\u52d5\u304b\u306a\u3044\u3068\u3057\u307e\u3059\u3002\u3064\u307e\u308a\u3001<\/p>\r\n\r\n\r\n\r\n<p><p class=\"ql-center-displayed-equation\" style=\"line-height: 86px;\"><span class=\"ql-right-eqno\"> (2) <\/span><span class=\"ql-left-eqno\"> &nbsp; <\/span><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/home.hiroshima-u.ac.jp\/~mafujii\/wordpress\/wp-content\/ql-cache\/quicklatex.com-143fd096e437e662901a177af69b1f7c_l3.png\" height=\"86\" width=\"113\" class=\"ql-img-displayed-equation quicklatex-auto-format\" alt=\"&#92;&#98;&#101;&#103;&#105;&#110;&#123;&#101;&#113;&#117;&#97;&#116;&#105;&#111;&#110;&#42;&#125;&#92;&#108;&#101;&#102;&#116;&#92;&#123;&#32;&#92;&#98;&#101;&#103;&#105;&#110;&#123;&#97;&#114;&#114;&#97;&#121;&#125;&#123;&#108;&#125;&#121;&#95;&#48;&#40;&#116;&#41;&#32;&#61;&#32;&#48;&#32;&#92;&#92;&#121;&#95;&#123;&#78;&#43;&#49;&#125;&#40;&#116;&#41;&#32;&#61;&#32;&#48;&#32;&#92;&#92;&#92;&#100;&#111;&#116;&#123;&#121;&#125;&#95;&#48;&#40;&#116;&#41;&#32;&#61;&#32;&#48;&#32;&#92;&#92;&#92;&#100;&#111;&#116;&#123;&#121;&#125;&#95;&#123;&#78;&#43;&#49;&#125;&#40;&#116;&#41;&#32;&#61;&#32;&#48;&#92;&#101;&#110;&#100;&#123;&#97;&#114;&#114;&#97;&#121;&#125;&#92;&#114;&#105;&#103;&#104;&#116;&#46;&#92;&#101;&#110;&#100;&#123;&#101;&#113;&#117;&#97;&#116;&#105;&#111;&#110;&#42;&#125;\" title=\"Rendered by QuickLaTeX.com\"\/><\/p><\/p>\r\n\r\n\r\n\r\n<p>\u3068\u3057\u307e\u3059\u3002<\/p>\r\n\r\n\r\n\r\n<p>\u5b9f\u969b\u306b\u306f\u3001<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/home.hiroshima-u.ac.jp\/~mafujii\/wordpress\/wp-content\/ql-cache\/quicklatex.com-391eb5621f50f5adaaa20bfcffbc27ed_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#121;&#95;&#106;&#40;&#116;&#41;&#32;&#61;&#32;&#121;&#95;&#106;&#40;&#116;&#41;&#44;&#32;&#92;&#100;&#111;&#116;&#123;&#121;&#125;&#95;&#106;&#40;&#116;&#41;&#32;&#61;&#32;&#118;&#95;&#106;&#40;&#116;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"198\" style=\"vertical-align: -6px;\"\/>\u3068\u3057\u305f2(N+2) \u500b\u306e\u9023\u7acb\u5fae\u5206\u65b9\u7a0b\u5f0f\u306b\u5bfe\u3057\u3001\u30aa\u30a4\u30e9\u30fc\u6cd5\uff08\u3067\u304d\u308c\u3070\u30eb\u30f3\u30b2\u30fb\u30af\u30c3\u30bf\u6cd5\uff09\u3092\u5229\u7528\u3057\u307e\u3059\u3002<\/p>\r\n\r\n\r\n\r\n<p>\u88dc\u8db3\uff1a \u7b2c\u516b\u56de\u306e\u30d0\u30cd\u306e\u4f38\u3073\u306e\u65b9\u7a0b\u5f0f\u304b\u3089\u5f0f(1)\u304c\u3067\u3066\u304d\u307e\u3059\u3002<br \/><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/home.hiroshima-u.ac.jp\/~mafujii\/wordpress\/wp-content\/ql-cache\/quicklatex.com-96175939671012225c6ebb5b4b67a92d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#121;&#95;&#106;\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"15\" style=\"vertical-align: -6px;\"\/>\u3092\u304a\u3082\u308a\u306e\u5834\u6240\u305d\u306e\u3082\u306e\u3068\u3057\u3066\u3082\u5f0f(1)\u3068\u540c\u3058\u65b9\u7a0b\u5f0f\u306b\u306a\u308b\u3053\u3068\u3068\u5408\u308f\u305b\u3066\u78ba\u8a8d\u3057\u3066\u307f\u3066\u304f\u3060\u3055\u3044\u3002<\/p>\r\n\r\n\r\n\r\n<p>\u30aa\u30a4\u30e9\u30fc\u6cd5\u3067\u306e\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u3092\u4e0b\u306b\u793a\u3057\u307e\u3059\u3002\u30eb\u30f3\u30b2\u30fb\u30af\u30c3\u30bf\u6cd5\u3067\u306f\u3069\u3046\u3059\u308c\u3070\u3088\u3044\u304b\u306f\u5404\u81ea\u8003\u3048\u3066\u307f\u3066\u304f\u3060\u3055\u3044\u3002<\/p>\r\n\r\n\r\n<hr class=\"wp-block-separator\" \/>\r\n\r\n\r\n<h3><span class=\"ez-toc-section\" id=\"%e3%82%a2%e3%83%ab%e3%82%b4%e3%83%aa%e3%82%ba%e3%83%a0\"><\/span><b>\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0<\/b><span class=\"ez-toc-section-end\"><\/span><\/h3>\r\n\r\n\r\n\r\n<p>\u89e3\u3092\u6c42\u3081\u308b\u6642\u523b\u306e\u4e0a\u9650\u3092<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/home.hiroshima-u.ac.jp\/~mafujii\/wordpress\/wp-content\/ql-cache\/quicklatex.com-f9ed275b0bf1633b7ee83b78fcc28273_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#84;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"13\" style=\"vertical-align: 0px;\"\/>\u3068\u3057\u3001\u9069\u5f53\u306a\u81ea\u7136\u6570<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/home.hiroshima-u.ac.jp\/~mafujii\/wordpress\/wp-content\/ql-cache\/quicklatex.com-10ebb71bad275c1815a8f2a8c5dea0be_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#77;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"19\" style=\"vertical-align: 0px;\"\/>\u3092\u5b9a\u3081\u3066<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/home.hiroshima-u.ac.jp\/~mafujii\/wordpress\/wp-content\/ql-cache\/quicklatex.com-16ffdfdebc2146094fa8919e6ff09e04_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#97;&#117;&#61;&#84;&#47;&#77;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"73\" style=\"vertical-align: -5px;\"\/>\u3068\u3059\u308b\u3002<br \/>\uff08\u3082\u3057\u304f\u306f\u5148\u306b<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/home.hiroshima-u.ac.jp\/~mafujii\/wordpress\/wp-content\/ql-cache\/quicklatex.com-13197f4653c1fd428a291609eb1e3b87_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#97;&#117;\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"10\" style=\"vertical-align: 0px;\"\/>\u3092\u5b9a\u3081\u3066<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/home.hiroshima-u.ac.jp\/~mafujii\/wordpress\/wp-content\/ql-cache\/quicklatex.com-a9456ddc7cd08dd9284bfd82e70bec84_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#77;&#61;&#105;&#110;&#116;&#40;&#84;&#47;&#92;&#116;&#97;&#117;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"110\" style=\"vertical-align: -5px;\"\/>\u3068\u3059\u308b\u3002\uff09<br \/><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/home.hiroshima-u.ac.jp\/~mafujii\/wordpress\/wp-content\/ql-cache\/quicklatex.com-96175939671012225c6ebb5b4b67a92d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#121;&#95;&#106;\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"15\" style=\"vertical-align: -6px;\"\/>\u3092\u914d\u5217\u5909\u6570 Y[j] \u3067\uff0c<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/home.hiroshima-u.ac.jp\/~mafujii\/wordpress\/wp-content\/ql-cache\/quicklatex.com-4d5afe1038e774e009817967b2710e60_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#118;&#95;&#106;\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"15\" style=\"vertical-align: -6px;\"\/>\u3092\u914d\u5217\u5909\u6570 V[j] \u3067\u8868\u3059.<br \/>(\u914d\u5217 Y[N+2], V[N+2], Y_new[N+2], V_new[N+2]\u306f\u5b9f\u6570\u578b\u914d\u5217\u3002)<br \/>T, \u03c4, t \u53ca\u3073 \u95a2\u6570 f1(t, x), f2(t, x1, x2, x3) \u306f\u5b9f\u6570\u578b<br \/>M, N, k, j \u306f\u6574\u6570\u578b(int)<\/p>\r\n\r\n\r\n<hr class=\"wp-block-separator\" \/>\r\n\r\n\r\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"null\" data-enlighter-theme=\"\" data-enlighter-highlight=\"\" data-enlighter-linenumbers=\"\" data-enlighter-lineoffset=\"\" data-enlighter-title=\"\" data-enlighter-group=\"\">\u5fc5\u8981\u306a\u30e9\u30a4\u30d6\u30e9\u30ea\u306e\u8aad\u8fbc\r\nT, \u03c4, M, N, R, \u03c9 (w \u7b49\u3067\u4ee3\u7528)\u3092\u8a2d\u5b9a\r\nY\u3068V\u304a\u3088\u3073Y_new\u3068V_new\u3092np.zeros\u3092\u7528\u3044\u3066M+2\u500b\u306e\u914d\u5217\u3068\u3057\u3066\u521d\u671f\u5316\u3059\u308b\r\n\uff08\uff11. \u521d\u671f\u5024\u3092\u4e0e\u3048\u308b\uff09\r\nV[1]=0.25\uff08\u8ab2\u984c\uff11\u3067\u306e\u521d\u671f\u5024\u306e\u8a2d\u5b9a\uff09\r\nt = np.linspace(0, T, M+1)\r\nf1\u3068f2\u306e\u5b9a\u7fa9\r\n\uff08\uff12. \u8a08\u7b97\uff09\r\n(\u6642\u9593\u65b9\u5411\u3078\u306e\u7e70\u308a\u8fd4\u3057)\r\nk = 0,1,2,.......,M \u306e\u9806\u306b (for \u6587\uff09\r\n    \r\n    \uff08\u304a\u3082\u308a\u306e\u63cf\u753b\uff09\r\n    \u4e00\u5b9a\u9593\u9694\u6bce\u306b(\u4f8b\u3048\u3070 k%100==0 \u306e\u6642\u306b, \u7b49)\r\n        j = 0, 1, 2,...., N+1 \u756a\u76ee\u306e\u304a\u3082\u308a\u3068\u7dda\u3092\u63cf\u753b\uff08\u304a\u3082\u308a\u306e\u4f4d\u7f6e\u306fj*R+Y[j]\uff09\r\n        \u5c11\u3057\u306e\u6642\u9593\u505c\u6b62\r\n    \r\n    \uff08\u6b21\u306e\u6642\u9593\u3067\u306e\u304a\u3082\u308a\u306e\u4f4d\u7f6e\u3092\u8a08\u7b97\uff09\r\n    j = 1,2,.......,N \u306e\u9806\u306b (for \u6587\uff09\r\n        Y_new[j] = Y[j] + \u03c4*f1(t, V[j])\r\n        V_new[j] = V[j] + \u03c4*f2(t, Y[j-1], Y[j], Y[j+1])\r\n    \u3092\u7e70\u308a\u8fd4\u3059\r\n    \r\n    \uff08\u30c7\u30fc\u30bf\u306e\u66f4\u65b0 (\u5168\u3066\u306e\u304a\u3082\u308a\u306b\u3064\u3044\u3066\u8a08\u7b97)\uff09\r\n    j = 1,2,.......,N \u306e\u9806\u306b (for \u6587\uff09\r\n        Y[j] = Y_new[j]\r\n        V[j] = V_new[j]\r\n    \u3092\u7e70\u308a\u8fd4\u3059\r\n\u3092\u7e70\u308a\u8fd4\u3059<\/pre>\r\n<p>&nbsp;<\/p>\r\n\r\n\r\n<hr class=\"wp-block-separator\" \/>\r\n\r\n\r\n<p>f1(t, x), f2(t, x1, x2, x3) \u306f\u95a2\u6570\u3068\u3057\u3066\u5b9a\u7fa9<\/p>\r\n\r\n\r\n\r\n<p>\u63cf\u753b\u306e\u6642\u9593\u9593\u9694\u3084pause\u95a2\u6570\u306e\u6642\u9593\u3092\u9069\u5ea6\u306b\u8abf\u6574\u3057\u3066\u3001\u6ed1\u3089\u304b\u306a\u52d5\u304d\u304c\u898b\u3048\u308b\u3088\u3046\u306b\u3057\u3066\u304f\u3060\u3055\u3044.<\/p>\r\n\r\n\r\n<hr class=\"wp-block-separator\" \/>\r\n\r\n\r\n<h4><span class=\"ez-toc-section\" id=\"%e8%aa%b2%e9%a1%8c%ef%bc%91\"><\/span><b><u>\u8ab2\u984c\uff11<\/u><\/b><span class=\"ez-toc-section-end\"><\/span><\/h4>\r\n\r\n\r\n\r\n<p>N=1\u3001\u03c9=1\u3001R=1 \u3068\u3057\u3066\u3001\u5f0f(1)\u3068\u5f0f(2)\u3092\u3068\u304f\u30d7\u30ed\u30b0\u30e9\u30e0\u3092\u4f5c\u6210\u305b\u3088\u3002\u305f\u3060\u3057\u521d\u671f\u6761\u4ef6\u306f\u3001<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/home.hiroshima-u.ac.jp\/~mafujii\/wordpress\/wp-content\/ql-cache\/quicklatex.com-0d871bb3da2bda0c96aeb4954880722a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#121;&#95;&#49;&#40;&#48;&#41;&#61;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"72\" style=\"vertical-align: -5px;\"\/>\u3001<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/home.hiroshima-u.ac.jp\/~mafujii\/wordpress\/wp-content\/ql-cache\/quicklatex.com-d82bff62334a581ad0d62c41bdc51854_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#118;&#95;&#49;&#40;&#48;&#41;&#61;&#48;&#46;&#50;&#53;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"94\" style=\"vertical-align: -5px;\"\/> \u3068\u3059\u308b\u3002<br \/>\u30aa\u30a4\u30e9\u30fc\u6cd5\u306e\u5834\u5408, \u6642\u9593\u523b\u307f\u5e45\u306f \u03c4=0.0001 (T=300\u7b49)\u3068\u3057\u3066\u30011000\u30b9\u30c6\u30c3\u30d7\u6bce\u306b\u3001\u304a\u3082\u308a\u306e\u4f4d\u7f6e (j\u756a\u76ee\u306e\u304a\u3082\u308a\u306e\u4f4d\u7f6e\u306f <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/home.hiroshima-u.ac.jp\/~mafujii\/wordpress\/wp-content\/ql-cache\/quicklatex.com-d696caf523b77743d96eece37a648057_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#40;&#106;&#42;&#82;&#32;&#43;&#32;&#121;&#95;&#106;&#40;&#116;&#41;&#44;&#32;&#48;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"125\" style=\"vertical-align: -6px;\"\/>\u3092 \u25cb\u3067\u8868\u793a\u3055\u305b\u308b\u3053\u3068\u3002<\/p>\r\n\r\n\r\n\r\n<p>\uff08\u30eb\u30f3\u30b2\u30af\u30c3\u30bf\u6cd5\u306e\u5834\u5408, \u6642\u9593\u523b\u307f\u5e45\u306f \u03c4=0.01 \u3068\u3057\u3066\u300110\u30b9\u30c6\u30c3\u30d7\u6bce\u306b\u3001\u304a\u3082\u308a\u306e\u4f4d\u7f6e (j\u756a\u76ee\u306e\u304a\u3082\u308a\u306e\u4f4d\u7f6e\u306f<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/home.hiroshima-u.ac.jp\/~mafujii\/wordpress\/wp-content\/ql-cache\/quicklatex.com-d696caf523b77743d96eece37a648057_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#40;&#106;&#42;&#82;&#32;&#43;&#32;&#121;&#95;&#106;&#40;&#116;&#41;&#44;&#32;&#48;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"125\" style=\"vertical-align: -6px;\"\/>\u3092 \u25cb \u3067\u8868\u793a\u3055\u305b\u308b\u3053\u3068\u3002\uff09<\/p>\r\n\r\n\r\n\r\n<p>\u6b21\u56f3\u3067\u306f\u30b0\u30e9\u30d5\u306b\u3059\u308b\u6a2a\u8ef8\u306e\u7bc4\u56f2\u306f[0, 2]\u3068\u3057\u305f\u3002<br \/>\u307e\u305f\u4e0b\u306e\u30a2\u30cb\u30e1\u30fc\u30b7\u30e7\u30f3\u306f\u30d5\u30a1\u30a4\u30eb\u30b5\u30a4\u30ba\u8efd\u6e1b\u306e\u305f\u3081T=31.4\u3068\u3057\u3066\u3044\u308b\u306e\u3067\u6ce8\u610f\u3002<br \/><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-2628\" src=\"https:\/\/home.hiroshima-u.ac.jp\/~mafujii\/wordpress\/wp-content\/uploads\/2020\/05\/kadai1_anim.gif\" alt=\"\" width=\"600\" height=\"300\" \/><\/p>\r\n\r\n\r\n\r\n\r\n\r\n<h4><span class=\"ez-toc-section\" id=\"%e8%aa%b2%e9%a1%8c%ef%bc%92\"><\/span><b><u>\u8ab2\u984c\uff12<\/u><\/b><span class=\"ez-toc-section-end\"><\/span><\/h4>\r\n\r\n\r\n\r\n<p>\u8ab2\u984c\uff11\u306e\u30d7\u30ed\u30b0\u30e9\u30e0\u3092 N = 3, 10 \u306b\u3057\u3066\u305d\u306e\u69d8\u5b50\u3092\u898b\u3088\u3002v<sub>1<\/sub>=0.7\u3001\u305d\u308c\u4ee5\u5916\u306e<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/home.hiroshima-u.ac.jp\/~mafujii\/wordpress\/wp-content\/ql-cache\/quicklatex.com-47a16f8eac4ffe67ce3fa9df6899ed9a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#121;&#95;&#106;&#44;&#32;&#118;&#95;&#106;\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"39\" style=\"vertical-align: -6px;\"\/>\u306f0\u3092\u521d\u671f\u6761\u4ef6\u3068\u3059\u308b\u3002\uff08\u30b0\u30e9\u30d5\u306e\u6a2a\u8ef8\u306e\u7bc4\u56f2\u306f [ 0, (N+1)*R ] \u3068\u3059\u308b.\uff09<\/p>\r\n\r\n\r\n<hr class=\"wp-block-separator\" \/>\r\n\r\n\r\n<h4><span class=\"ez-toc-section\" id=\"%e8%aa%b2%e9%a1%8c%ef%bc%93\"><\/span><b><u>\u8ab2\u984c\uff13<\/u><\/b><span class=\"ez-toc-section-end\"><\/span><\/h4>\r\n\r\n\r\n\r\n<p>\u8ab2\u984c\uff12\u306e\u30d7\u30ed\u30b0\u30e9\u30e0\u306e\u30b0\u30e9\u30d5\u8868\u793a\u90e8\u5206\u3092\u3001\u70b9 <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/home.hiroshima-u.ac.jp\/~mafujii\/wordpress\/wp-content\/ql-cache\/quicklatex.com-4ce39130bab3306783d95a034b42c74d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#40;&#106;&#42;&#82;&#44;&#32;&#121;&#95;&#106;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"74\" style=\"vertical-align: -6px;\"\/> \u3092\u76f4\u7dda\u3067\u7d50\u3076\u3088\u3046\u306b\u66f8\u304d\u63db\u3048\u3088\u3002\u307e\u305f, N \u3092\u3055\u3089\u306b\u5897\u3084\u3057\u305f\u5834\u5408\u306e\u69d8\u5b50\u3092\u898b\u3088. \uff08\u30b0\u30e9\u30d5\u306e\u7e26\u8ef8\u306e\u7bc4\u56f2\u306f [ -0.5, 0.5 ] \u7b49\uff09<\/p>\r\n<p>\u307e\u305f\u4e0b\u306e\u30a2\u30cb\u30e1\u30fc\u30b7\u30e7\u30f3\u306f\u30d5\u30a1\u30a4\u30eb\u30b5\u30a4\u30ba\u8efd\u6e1b\u306e\u305f\u3081T=31.4\u3068\u3057\u3066\u3044\u308b\u306e\u3067\u6ce8\u610f\u3002<\/p>\r\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-2630\" src=\"https:\/\/home.hiroshima-u.ac.jp\/~mafujii\/wordpress\/wp-content\/uploads\/2020\/05\/kadai3_anim.gif\" alt=\"\" width=\"600\" height=\"300\" \/><\/p>\r\n\r\n\r\n<hr class=\"wp-block-separator\" \/>\r\n\r\n\r\n<h4><span class=\"ez-toc-section\" id=\"%e8%aa%b2%e9%a1%8c%ef%bc%94\"><\/span><b><u>\u8ab2\u984c\uff14<\/u><\/b><span class=\"ez-toc-section-end\"><\/span><\/h4>\r\n\r\n\r\n\r\n<p>\u8ab2\u984c\uff13\u306e\u30d7\u30ed\u30b0\u30e9\u30e0\u3092\u30eb\u30f3\u30b2\u30fb\u30af\u30c3\u30bf\u6cd5\u3092\u7528\u3044\u3066\u66f8\u304d\u76f4\u305b\u3002\u6642\u9593\u523b\u307f\u5e45\u306f \u03c4=0.01 \u3068\u3057\u3066\u300110\u30b9\u30c6\u30c3\u30d7\u6bce\u306b\u3001\u304a\u3082\u308a\u306e\u4f4d\u7f6e\u3092\u8868\u793a\u3055\u305b\u308b\u3053\u3068\u3002<\/p>\r\n\r\n\r\n<hr class=\"wp-block-separator\" \/>\r\n\r\n\r\n<h4><span class=\"ez-toc-section\" id=\"%e8%aa%b2%e9%a1%8c%ef%bc%95\"><\/span><b><u>\u8ab2\u984c\uff15<br \/><\/u><\/b><span class=\"ez-toc-section-end\"><\/span><\/h4>\r\n\r\n\r\n\r\n<p>N= 10\u3001<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/home.hiroshima-u.ac.jp\/~mafujii\/wordpress\/wp-content\/ql-cache\/quicklatex.com-1387b6f0f9e890f5f1610a3d1cb98a77_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#118;&#95;&#49;&#61;&#48;&#46;&#55;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"63\" style=\"vertical-align: -3px;\"\/>\u3001\u305d\u308c\u4ee5\u5916\u306e<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/home.hiroshima-u.ac.jp\/~mafujii\/wordpress\/wp-content\/ql-cache\/quicklatex.com-47a16f8eac4ffe67ce3fa9df6899ed9a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#121;&#95;&#106;&#44;&#32;&#118;&#95;&#106;\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"39\" style=\"vertical-align: -6px;\"\/>\u306f0\u3092\u521d\u671f\u6761\u4ef6\u3068\u3057\u3066\u3001<br \/>\u6b21\u306e\u4e8c\u3064\u306e\u56f3\u3092\u4e0a\u4e0b\u306b\u8868\u793a\u3055\u305b\u3001\u30a2\u30cb\u30e1\u30fc\u30b7\u30e7\u30f3\u3092\u884c\u3046\u30d7\u30ed\u30b0\u30e9\u30e0\u3092\u4f5c\u6210\u305b\u3088\u3002<br \/>\u4e0a\u306e\u56f3\uff1a\u8ab2\u984c\uff12\u3068\u540c\u69d8\u306e\u56f3<br \/>\u4e0b\u306e\u56f3\uff1a\u8ab2\u984c\uff13\u3068\u540c\u69d8\u306e\u56f3<br \/>\u305f\u3060\u3057\u3001\u6570\u5024\u8a08\u7b97\u306e\u65b9\u6cd5\u306f\u30eb\u30f3\u30b2\u30fb\u30af\u30c3\u30bf\u6cd5\u3067\u3042\u308b\u3068\u3057\u3001\u6642\u9593\u523b\u307f\u5e45\u306f\u03c4=0.1\u3067\u3042\u308b\u3068\u3059\u308b\u3002<\/p>\r\n\r\n\r\n<hr class=\"wp-block-separator\" \/>\r\n\r\n\r\n<h5><span class=\"ez-toc-section\" id=\"%e5%b0%8f%e3%83%8d%e3%82%bf%ef%bc%9a%e9%80%a3%e7%b5%90%e3%83%90%e3%83%8d%e7%b3%bb%e3%81%ab%e3%81%a4%e3%81%84%e3%81%a6%e2%80%a6\"><\/span><b>\u5c0f\u30cd\u30bf\uff1a\u9023\u7d50\u30d0\u30cd\u7cfb\u306b\u3064\u3044\u3066&#8230;<\/b><span class=\"ez-toc-section-end\"><\/span><\/h5>\r\n\r\n\r\n\r\n<p>\u3042\u3089\u3086\u308b\u7269\u8cea\u306f\u5206\u5b50\u3001\u539f\u5b50\uff08\u53b3\u5bc6\u306b\u306f\u7d20\u7c92\u5b50\u3067\u3059\u304c\uff09\u304b\u3089\u51fa\u6765\u3066\u3044\u307e\u3059\u3002<br \/>\u305d\u306e\u3046\u3061\u300c\u56fa\u4f53\u300d\u3068\u547c\u3070\u308c\u3066\u3044\u308b\u3082\u306e\uff08\u6c37\u7b49\u306e\u7d50\u6676\u3084\u91d1\u5c5e\u7b49\uff09\u306f\u3001\u305d\u306e\u3088\u3046\u306a\u5206\u5b50\uff08\u539f\u5b50\uff09\u9593\u306b\u50cd\u304f\u306e\u5f15\u529b\u3068\u65a5\u529b\u306b\u3088\u3063\u3066\u3001\u3042\u305f\u304b\u3082\u30d0\u30cd\u3067\u7e4b\u304c\u308c\u305f\u304b\u306e\u3088\u3046\u306b\u3001\u305d\u308c\u3089\u304c\u898f\u5247\u6b63\u3057\u304f\uff08\u7b49\u9593\u9694\u306b\uff09\u914d\u7f6e\u3055\u308c\u3066\u3044\u308b\u72b6\u614b\u3067\u3042\u308a\u307e\u3059\u3002\uff08\u3053\u306e\u300c\u30d0\u30cd\u300d\u3068\u3044\u3046\u6bd4\u55a9\u306f\u5b9f\u969b\u306e\u5206\u5b50\u306b\u3088\u304f\u5408\u81f4\u3057\u307e\u3059\u3002)<br \/>\u3067\u3059\u306e\u3067\u4eca\u56de\u306e\u8ab2\u984c\uff12\u3001\uff13\u306f\u3001\u3053\u306e\u3088\u3046\u306a\u300c\u56fa\u4f53\u300d\u3092\u539f\u5b50\u30ec\u30d9\u30eb\u3067\u898b\u305f\u3088\u3046\u306a\u4e8b\u306b\u306a\u3063\u3066\u3044\u307e\u3059\u3002\uff08\u53b3\u5bc6\u306b\u306f\u9055\u3044\u307e\u3059\u304c\u3001\u5927\u307e\u304b\u306b&#8230;)<br \/>\u03c9 \u306b\u3088\u3063\u3066\u305d\u306e\u300c\u56fa\u4f53\u300d\u306e\u56fa\u3055\u304c\u5909\u308f\u308b\u611f\u3058\u3067\u3059\u3002<br \/>\u8ab2\u984c\uff12\u3001\uff13 \u3067\u306f\u6ce2\u306e\u3088\u3046\u306a\u3082\u306e\u304c\u898b\u3048\u3066\u3044\u305f\u304b\u3068\u601d\u3044\u307e\u3059\u304c\u3001\u3053\u306e\u6ce2\u304c\u7a7a\u6c17\u306b\u4f1d\u642c\u3057\u3066\u8033\u306b\u5165\u308b\u3068\u300c\u97f3\u300d\u3068\u3057\u3066\u6211\u3005\u304c\u8a8d\u8b58\u3059\u308b\u3053\u3068\u306b\u306a\u308a\u307e\u3059\u3002<br \/>\u305d\u3046\u3044\u3048\u3070\u6614\u3001\u91cf\u5b50\u529b\u5b66\u7528\u8a9e\u306e\u89e3\u8aac\u3068\u3057\u3066<a href=\"https:\/\/ja.wikipedia.org\/wiki\/\u30b7\u30e5\u30ec\u30c7\u30a3\u30f3\u30ac\u30fc\u97f3\u982d\" target=\"_blank\" rel=\"noopener noreferrer\">\u300c\u4e16\u306e\u4e2d\u301c\u6ce2\u3067\u51fa\u6765\u3066\u3044\u308b\u301c\u300d\u3068\u8e0a\u3063\u3066\u3044\u305f\u4eba<\/a>\u304c\u3044\u305f\u3068\u304b\u306a\u3093\u3068\u304b&#8230;<\/p>\r\n<h4><span class=\"ez-toc-section\" id=\"%e7%99%ba%e5%b1%95%e5%95%8f%e9%a1%8c\"><\/span><span style=\"text-decoration: underline;\">\u767a\u5c55\u554f\u984c<\/span><span class=\"ez-toc-section-end\"><\/span><\/h4>\r\n<p>\u4eca\u56de\u306e\u8ab2\u984c\u306b\u3064\u3044\u3066\u3001\u304a\u3082\u308a\u306b\u95a2\u3059\u308bfor\u6587\u3092\u4f7f\u308f\u305a\u306b\uff08\u30d9\u30af\u30c8\u30eb\u6f14\u7b97\u3092\u4f7f\u3063\u3066\uff09\u30d7\u30ed\u30b0\u30e9\u30e0\u3092\u66f8\u3051\u3002<\/p>\r\n<h5><span class=\"ez-toc-section\" id=\"%e5%b0%8f%e3%83%8d%e3%82%bf%ef%bc%9a%e3%83%99%e3%82%af%e3%83%88%e3%83%ab%e6%bc%94%e7%ae%97\"><\/span>\u5c0f\u30cd\u30bf\uff1a\u30d9\u30af\u30c8\u30eb\u6f14\u7b97<span class=\"ez-toc-section-end\"><\/span><\/h5>\r\n<p>\u4f8b\u3048\u3070\u3001N+2\u500b\u306e\u914d\u5217 y, z \u306b\u5bfe\u3057\u3066<\/p>\r\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"python\">for j in range(1, N+1):\r\n\u00a0\u00a0 z[j] = (y[j-1]+y[j]+y[j+1])\/3\r\n<\/pre>\r\n<p>\u3068\u3057\u30663\u8fd1\u508d\u306e\u79fb\u52d5\u5e73\u5747\u3092\u8a08\u7b97\u3059\u308b\u5834\u5408\u3001<\/p>\r\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"python\">z[1:-1] = (y[0:-2]+y[1:-1]+y[2:])\/3<\/pre>\r\n<p>\u3068\u66f8\u3044\u3066\u3084\u308c\u3070\u3001\u30d9\u30af\u30c8\u30eb\u6f14\u7b97\u3068\u306a\u308a\u3001for\u6587\u3092\u4f7f\u308f\u306a\u304f\u3066\u3082\u3088\u304f\u306a\u308a\u307e\u3059\u3002\u307e\u305f\u3001\u5b9f\u306f\u95a2\u6570\u306e\u4eee\u5f15\u6570\u306f\u30d9\u30af\u30c8\u30eb\u3067\u3082\u826f\u304f\u3001\u307e\u305f\u623b\u308a\u5024\u3082\u540c\u69d8\u3067\u3059\u3002<\/p>\r\n<p>\u3053\u306e\u3088\u3046\u306a\u30d9\u30af\u30c8\u30eb\u6f14\u7b97\u306f\u3001\u30d7\u30ed\u30b0\u30e9\u30e0\u306e\u53ef\u8996\u6027\u3092\u4e0a\u3052\u305f\u308a\u3001\u4e26\u5217\u8a08\u7b97\u3092\u3059\u308b\u3068\u304d\u306a\u3069\u306b\u52b9\u7387\u304c\u3088\u304f\u306a\u308b\u3068\u3044\u3046\u5229\u70b9\u3082\u3042\u308a\u307e\u3059\u3002\uff08\u79d1\u5b66\u8a08\u7b97\u30bd\u30d5\u30c8\u30a6\u30a7\u30a2\u306eMATLAB\u306a\u3069\u306f\u3001for\u6587\u306e\u5b9f\u884c\u901f\u5ea6\u304c\u975e\u5e38\u306b\u9045\u304f\u3001\u30d9\u30af\u30c8\u30eb\u6f14\u7b97\u3067\u304d\u308b\u90e8\u5206\u306f\u30d9\u30af\u30c8\u30eb\u6f14\u7b97\u306b\u3057\u306a\u3044\u3068\u975e\u5e38\u306b\u8a08\u7b97\u52b9\u7387\u304c\u4e0b\u304c\u308a\u307e\u3059\u3002\uff09<\/p>\r\n<p>\u307e\u305f\uff08\u3053\u306e\u6388\u696d\u3067\u6563\u3005Python\u3092\u4f7f\u3063\u3066\u5fae\u5206\u65b9\u7a0b\u5f0f\u3092\u89e3\u304b\u305b\u3066\u304a\u3044\u3066\u30a2\u30ec\u3067\u3059\u304c\uff09\u3001Python\u306e\u6700\u5927\u306e\u5f37\u307f\u306f\u30c7\u30fc\u30bf\u89e3\u6790\u306e\u30e9\u30a4\u30d6\u30e9\u30ea\u304c\u8c4a\u5bcc\u306a\u3053\u3068\u3067\u3059\u3002\u96c6\u8a08\u3084\u95a2\u9023\u6027\u306e\u89e3\u6790\u3084\u6a5f\u68b0\u5b66\u7fd2\u306a\u3069\u3001\u624b\u8efd\u306b\u69d8\u3005\u306a\u89e3\u6790\u304c\u3067\u304d\u308b\u3088\u3046\u306b\u30e9\u30a4\u30d6\u30e9\u30ea\u304c\u4f5c\u3089\u308c\u3066\u3044\u307e\u3059\u3057\u3001\u4f55\u3088\u308a\u7121\u6599\u3067\u4f7f\u3048\u307e\u3059\u3002<br \/>\u30c7\u30fc\u30bf\u3082\u3044\u308f\u3070\u30d9\u30af\u30c8\u30eb\u3084\u884c\u5217\u306e\u5f62\u5f0f\u3067\u3059\u3002\u30d9\u30af\u30c8\u30eb\u6f14\u7b97\u30fb\u884c\u5217\u6f14\u7b97\u304c\u3067\u304d\u308c\u3070\u30d7\u30ed\u30b0\u30e9\u30e0\u306f\u975e\u5e38\u306b\u3059\u3063\u304d\u308a\u3057\u307e\u3059\u3002<\/p>\r\n<p>\u4e00\u5ea6\u4f5c\u3063\u305f\u30d7\u30ed\u30b0\u30e9\u30e0\u3092\u898b\u76f4\u3057\u3001\u30d9\u30af\u30c8\u30eb\u6f14\u7b97\u3067\u304d\u308b\u3068\u3053\u308d\u3092\u63a2\u3057\u3066\u307f\u3066\u306f\u3069\u3046\u3067\u3057\u3087\u3046\u304b\uff1f<\/p>\r\n","protected":false},"excerpt":{"rendered":"<p>\u524d\u56de\u3001\u524d\u3005\u56de\u3068\u504f\u5fae\u5206\u65b9\u7a0b\u5f0f\u306e\u6570\u5024\u89e3\u6cd5\u306b\u3064\u3044\u3066\u6f14\u7fd2\u3092\u884c\u3044\u307e\u3057\u305f\u304c\u3001\u4eca\u56de\u306f\u4eca\u4e00\u5ea6\u30aa\u30a4\u30e9\u30fc\u6cd5\u3068\u30eb\u30f3\u30b2\u30af\u30c3\u30bf\u6cd5\u3092\u7528\u3044\u305f\u6570\u5024\u89e3\u6cd5\u306b\u53d6\u308a\u7d44\u307f\u307e\u3059\u3002\u4eca\u56de\u306f\u3001\u6b21\u306e\u3088\u3046\u306b x \u8ef8\u4e0a\u306b\u30d0\u30cd\u3092\u4e26\u3079\u3001\u304a\u3082\u308a\u3067\u3064\u306a\u3052\u305f\u5834\u5408\u3069\u306e\u3088\u3046\u306a\u904b\u52d5\u3092\u3059\u308b\u304b\u3001 &hellip; <a href=\"https:\/\/home.hiroshima-u.ac.jp\/~mafujii\/%e6%8e%88%e6%a5%ad%e8%b3%87%e6%96%99\/%e8%a8%88%e7%ae%97%e6%95%b0%e7%90%86a%e6%bc%94%e7%bf%92\/%e8%a8%88%e7%ae%97%e6%95%b0%e7%90%86a%e6%bc%94%e7%bf%92%e7%ac%ac12%e5%9b%9e\/\" class=\"more-link\">\u7d9a\u304d\u3092\u8aad\u3080 <span class=\"screen-reader-text\">\u8a08\u7b97\u6570\u7406A\u6f14\u7fd2\u7b2c12\u56de<\/span> <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":2139,"menu_order":14,"comment_status":"closed","ping_status":"closed","template":"","meta":{"om_disable_all_campaigns":false,"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"jetpack_post_was_ever_published":false,"footnotes":""},"class_list":["post-2157","page","type-page","status-publish","hentry"],"aioseo_notices":[],"jetpack_sharing_enabled":true,"jetpack_shortlink":"https:\/\/wp.me\/PaSLRw-yN","_links":{"self":[{"href":"https:\/\/home.hiroshima-u.ac.jp\/~mafujii\/wp-json\/wp\/v2\/pages\/2157","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/home.hiroshima-u.ac.jp\/~mafujii\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/home.hiroshima-u.ac.jp\/~mafujii\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/home.hiroshima-u.ac.jp\/~mafujii\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/home.hiroshima-u.ac.jp\/~mafujii\/wp-json\/wp\/v2\/comments?post=2157"}],"version-history":[{"count":23,"href":"https:\/\/home.hiroshima-u.ac.jp\/~mafujii\/wp-json\/wp\/v2\/pages\/2157\/revisions"}],"predecessor-version":[{"id":3506,"href":"https:\/\/home.hiroshima-u.ac.jp\/~mafujii\/wp-json\/wp\/v2\/pages\/2157\/revisions\/3506"}],"up":[{"embeddable":true,"href":"https:\/\/home.hiroshima-u.ac.jp\/~mafujii\/wp-json\/wp\/v2\/pages\/2139"}],"wp:attachment":[{"href":"https:\/\/home.hiroshima-u.ac.jp\/~mafujii\/wp-json\/wp\/v2\/media?parent=2157"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}