{"id":68355,"date":"2024-07-19T10:10:14","date_gmt":"2024-07-19T10:10:14","guid":{"rendered":"https:\/\/science-hub.click\/%E6%A5%B5%E5%80%A4%E3%81%AB%E3%81%A4%E3%81%84%E3%81%A6%E8%A9%B3%E3%81%97%E3%81%8F%E8%A7%A3%E8%AA%AC\/"},"modified":"2024-07-19T10:10:14","modified_gmt":"2024-07-19T10:10:14","slug":"%E6%A5%B5%E5%80%A4%E3%81%AB%E3%81%A4%E3%81%84%E3%81%A6%E8%A9%B3%E3%81%97%E3%81%8F%E8%A7%A3%E8%AA%AC","status":"publish","type":"post","link":"https:\/\/science-hub.click\/?p=68355","title":{"rendered":"\u6975\u5024\u306b\u3064\u3044\u3066\u8a73\u3057\u304f\u89e3\u8aac"},"content":{"rendered":"<div><div><p>\u300c\u6975\u5024\u8981\u7d20\u300d\u3068\u3044\u3046\u8868\u73fe\u306f\u3001\u300c\u6700\u5927\u8981\u7d20\u300d\u307e\u305f\u306f\u300c\u6700\u5c0f\u8981\u7d20\u300d\u3092\u610f\u5473\u3059\u308b\u3002<br\/><\/p><p>\u9806\u5e8f\u4ed8\u304d\u30bb\u30c3\u30c8\u3067\u306f\u3001\u3053\u306e<span><a href=\"https:\/\/science-hub.click\/?p=57227\">\u30bb\u30c3\u30c8<\/a><\/span>\u306e\u4e00\u90e8\u306e<strong>\u6700\u5927\u8981\u7d20<\/strong>(\u305d\u308c\u305e\u308c<strong>\u6700\u5c0f\u8981\u7d20<\/strong>) \u307e\u305f\u306f<strong>\u6700\u5927\u8981\u7d20<\/strong>(\u305d\u308c\u305e\u308c<strong>\u6700\u5c0f\u8981\u7d20<\/strong>) \u306f\u3001\u5b58\u5728\u3059\u308b\u5834\u5408\u3001\u3053\u306e\u90e8\u5206\u306b\u5c5e\u3057\u3001\u4e0a\u4f4d (\u305d\u308c\u305e\u308c\u4e0b\u4f4d) \u306e\u8981\u7d20\u3067\u3059\u3002\u30d1\u30fc\u30c4\u306e\u4ed6\u306e\u3059\u3079\u3066\u306e\u8981\u7d20\u306b\u9069\u7528\u3055\u308c\u307e\u3059\u3002<br\/><\/p><h3><span>\u30d7\u30ed\u30d1\u30c6\u30a3<\/span><\/h3><p>\u3057\u305f\u304c\u3063\u3066\u3001\u90e8\u54c1\u306e\u6700\u5927 (\u6700\u5c0f) \u8981\u7d20\u306f\u7279\u306b\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p><ol><li>\u90e8\u54c1\u306e\u6700\u5927\u8981\u7d20 (\u305d\u308c\u305e\u308c\u6700\u5c0f\u8981\u7d20)<\/li><li>\u90e8\u54c1\u306e\u4e0a\u9650(\u305d\u308c\u305e\u308c\u4e0b\u9650)<\/li><li>\u30d1\u30fc\u30c4\u306e\u4e0a\u9650(\u305d\u308c\u305e\u308c\u4e0b\u9650)<\/li><\/ol><p> &#8230;\u3057\u304b\u3057\u3001\u9006\u6570\u306f\u507d\u3067\u3059\u3002\u305d\u308c\u306b\u3082\u304b\u304b\u308f\u3089\u305a\u3001\u6b21\u306e\u5b9a\u7406\u3092\u8ff0\u3079\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p><ul><li>\u90e8\u54c1\u304c\u6700\u5927\u8981\u7d20 (\u307e\u305f\u306f\u6700\u5c0f\u8981\u7d20) \u3092\u8a31\u5bb9\u3059\u308b\u5834\u5408\u3001\u6700\u5927 (\u307e\u305f\u306f\u6700\u5c0f) \u8981\u7d20\u306f 1 \u3064\u3060\u3051\u5b58\u5728\u3057\u3001\u305d\u308c\u304c\u90e8\u54c1\u306e\u6700\u5927\u8981\u7d20 (\u307e\u305f\u306f\u6700\u5c0f\u8981\u7d20) \u306b\u306a\u308a\u307e\u3059\u3002<\/li><li>\u90e8\u54c1\u304c\u3053\u306e\u90e8\u54c1\u306b\u5c5e\u3059\u308b\u4e0a\u9650 (\u307e\u305f\u306f\u4e0b\u9650) \u3092\u8a31\u5bb9\u3059\u308b\u5834\u5408\u3001\u305d\u306e\u90e8\u54c1\u306f\u6b63\u78ba\u306b\u3053\u306e\u4e0a\u9650 (\u307e\u305f\u306f\u4e0b\u9650) \u3067\u3042\u308b\u3088\u308a\u5927\u304d\u3044\u8981\u7d20 (\u307e\u305f\u306f\u3088\u308a\u5c0f\u3055\u3044\u8981\u7d20) \u3092\u8a31\u5bb9\u3057\u307e\u3059\u3002<\/li><\/ul><h3><span>\u4f8b<\/span><\/h3><ul><li>\u5305\u542b\u95a2\u4fc2\u306b\u3088\u3063\u3066\u9806\u5e8f\u4ed8\u3051\u3055\u308c\u305f\u5b9f\u533a\u9593\u306e\u96c6\u5408\u3092\u9806\u5e8f\u96c6\u5408<i>E<\/i>\u3068\u3057\u307e\u3059\u3002<\/li><li>\u5b66\u7fd2\u3059\u308b\u90e8\u5206<i>P<\/i>\u3068\u3057\u3066\u3001\u4ee5\u4e0b\u306b\u542b\u307e\u308c\u308b\u4e00\u9023\u306e\u9593\u9694\u3092\u9078\u629e\u3057\u307e\u3057\u3087\u3046\u3002 <div class=\"math-formual notranslate\">$$ {[-1; 0 [\\cup]0\u00a0; 1]} $$<\/div> \u3002<\/li><li> <i>P<\/i>\u306e<span><a href=\"https:\/\/science-hub.click\/?p=95765\">\u3059\u3079\u3066\u306e<\/a><\/span>\u8981\u7d20\u306b\u306f<span><a href=\"https:\/\/science-hub.click\/?p=54669\">\u7a7a\u306e\u96c6\u5408<\/a><\/span>\u304c\u542b\u307e\u308c\u308b\u305f\u3081\u3001<span><a href=\"https:\/\/science-hub.click\/?p=93191\">\u7a7a\u306e<\/a><\/span>\u96c6\u5408\u306f<i>P<\/i>\u306e\u4e0b\u9650\u306b\u306a\u308a\u307e\u3059\u3002\u3053\u3053\u3067\u3001\u7a7a\u96c6\u5408\u306f<i>P<\/i>\u306e\u8981\u7d20\u3067\u3042\u308b\u305f\u3081\u3001\u305d\u306e\u4e0b\u9650\u304a\u3088\u3073\u6700\u5c0f\u8981\u7d20\u3067\u3082\u3042\u308a\u307e\u3059\u3002<\/li><li> <i>P<\/i>\u306e\u3059\u3079\u3066\u306e\u8981\u7d20\u306f\u533a\u9593<i>[-1; 1]<\/i>\u3053\u308c\u306f<i>E<\/i>\u306e\u8981\u7d20\u3067\u3059\u304c\u3001 <i>P<\/i>\u306e\u8981\u7d20\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u3002\u3057\u305f\u304c\u3063\u3066<i>[-1; 1]<\/i>\u306f<i>P<\/i>\u306e\u4e0a\u9650\u3067\u3059\u304c\u3001\u305d\u306e\u6700\u5927\u306e\u8981\u7d20\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u3002\u3059\u3079\u3066\u306b\u3082\u304b\u304b\u308f\u3089\u305a\u3001\u305d\u308c\u306f\u6700\u5c0f\u9650\u754c\u3067\u3042\u308a\u3001\u3057\u305f\u304c\u3063\u3066\u4e0a\u9650\u3067\u3059\u3002<\/li><li> ]0 \u3088\u308a\u5927\u304d\u3044<i>P<\/i>\u306e\u8981\u7d20\u306f\u5b58\u5728\u3057\u307e\u305b\u3093<i>\u3002 1]<\/i> \u3002 <i>]0;<\/i>\u3057\u305f\u304c\u3063\u3066\u3001 <i>1] \u306f<\/i><i>P<\/i>\u306e\u6700\u5927\u8981\u7d20\u3067\u3059\u3002\u3057\u304b\u3057\u3001 <i>P<\/i>\u306b\u306f\u305d\u308c\u306b\u5339\u6575\u3057\u306a\u3044\u8981\u7d20\u304c\u3042\u308a\u307e\u3059\u3002\u305f\u3068\u3048\u3070\u3001 <i>[1\/2; 3\/2]<\/i> \u3002\u3057\u305f\u304c\u3063\u3066\u3001 <i>]0; 1] \u306f<\/i><i>P<\/i>\u306e\u6700\u5927\u306e\u8981\u7d20\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u3002\u305d\u3057\u3066\u6b63\u5f53\u306a\u7406\u7531\u304b\u3089\u3001\u5225\u306e\u660e\u78ba\u306a\u6700\u5927\u8981\u7d20\u304c\u3042\u308a\u307e\u3059: <i>[-1; 0[<\/i> \u3001\u3064\u307e\u308a<i>P<\/i>\u306b\u306f\u6700\u5927\u306e\u8981\u7d20\u304c\u3042\u308a\u307e\u305b\u3093\u3002<br\/><\/li><\/ul><h2><span>\u95a2\u6570\u306e<span><a href=\"https:\/\/science-hub.click\/?p=69229\">\u6975\u5024<\/a><\/span><\/span><\/h2><p>( <i><strong>F<\/strong><\/i> , \u2264)<span><a href=\"https:\/\/science-hub.click\/?p=24014\">\u3092\u5168\u9806\u5e8f\u96c6\u5408<\/a><\/span>\u3068\u3057\u3001 <i>f\u200b\u200b \u3092<\/i>\u96c6\u5408<i><strong>E<\/strong><\/i>\u304b\u3089\u96c6\u5408<i><strong>F<\/strong><\/i>\u307e\u3067\u306e\u95a2\u6570\u3068\u3057\u307e\u3059\u3002<br\/><\/p><p> <i>f<\/i>\u306e<span><a href=\"https:\/\/science-hub.click\/?p=94558\">\u5b9a\u7fa9\u30bb\u30c3\u30c8<\/a><\/span>\u3067\u3042\u308b<i><strong>D \u3092<\/strong><\/i>\u8868\u3057\u3001 <i>a \u3092<\/i><i><strong>D<\/strong><\/i>\u306e\u4efb\u610f\u306e\u8981\u7d20\u3068\u3057\u307e\u3059\u3002<br\/><\/p><p> <i><strong>A<\/strong><\/i>\u304c<i><strong>D<\/strong><\/i>\u306e\u4e00\u90e8\u307e\u305f\u306f<i><strong>D<\/strong><\/i>\u81ea\u4f53\u3067\u3042\u308b\u5834\u5408\u3001\u8868\u8a18<i>f( <strong>A<\/strong> ) \u306f<\/i>\u95a2\u6570<i>f<\/i>\u306b\u3088\u308b<i><strong>A<\/strong><\/i>\u306e\u30a4\u30e1\u30fc\u30b8\u3092\u6307\u5b9a\u3059\u308b\u3053\u3068\u3092\u601d\u3044\u51fa\u3057\u3066\u304f\u3060\u3055\u3044\u3002<br\/><\/p><figure class=\"wp-block-image size-large is-style-default\">\n<img decoding=\"async\" alt=\"\u6975\u5024\u306b\u3064\u3044\u3066\u8a73\u3057\u304f\u89e3\u8aac\" class=\"aligncenter\" onerror=\"this.style.display=none;\" src=\"https:\/\/img.youtube.com\/vi\/EAhRrr_jGZg\/0.jpg\" style=\"width:100%;\"\/><\/figure><h3><span>\u95a2\u6570\u306e\u5927\u57df\u7684\u6975\u5024<\/span><\/h3><p>\u300c <i>f<\/i>\u306e\u30b0\u30ed\u30fc\u30d0\u30eb\u6975\u5024\u300d\u3068\u306f\u3001\u300c <i>f<\/i>\u306e\u30b0\u30ed\u30fc\u30d0\u30eb\u6700\u5927\u5024\u300d\u307e\u305f\u306f\u300c <i>f<\/i>\u306e\u30b0\u30ed\u30fc\u30d0\u30eb\u6700\u5c0f\u5024\u300d\u3067\u3059\u3002<\/p><h4><span>\u30b0\u30ed\u30fc\u30d0\u30eb\u6700\u5927\u5024<\/span><\/h4><p><i>f(a) \u304c<\/i><i>f<\/i>\u306e\u300c\u6700\u5927\u5024\u300d\u307e\u305f\u306f\u300c\u5168\u4f53\u6700\u5927\u5024\u300d\u3067\u3042\u308b\u3068\u8a00\u3046\u306e\u306f\u3001 <i><strong>D<\/strong><\/i>\u306e\u8981\u7d20<i>x<\/i>\u306b\u3064\u3044\u3066<i>f(x)<\/i> \u2264 <i>f(a)<\/i>\u3067\u3042\u308b\u5834\u5408\u306b\u9650\u308a\u307e\u3059\u3002<br\/><\/p><p>\u3053\u308c\u306f<i>\u3001 f(a)<\/i>\u304c<i>f( <strong>D<\/strong> 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\u306f<\/i><i><strong>D<\/strong><\/i>\u4e0a\u306e<i>f<\/i>\u306e\u300c\u6975\u5927\u5024\u300d\u3067\u3042\u308b\u3068\u8a00\u3044\u307e\u3059\u3002<\/p><h4><span>\u6975\u5c0f\u5024<\/span><\/h4><p><i><strong>D \u3092<\/strong><\/i>\u4f4d\u76f8\u7a7a\u9593\u3068\u3059\u308b\u3002 <i><strong>D<\/strong><\/i>\u306e\u70b9<i>a<\/i>\u304c\u4e0e\u3048\u3089\u308c\u305f\u3068\u304d\u3001 <i><strong>V<\/strong><\/i>\u306e\u4efb\u610f\u306e\u8981\u7d20<i>x<\/i>\u306b\u3064\u3044\u3066<i>f(a)<\/i> \u2264 <i>f(x)<\/i>\u3068\u306a\u308b\u3088\u3046\u306a<i>a<\/i>\u306e\u8fd1\u508d<i><strong>V \u304c<\/strong><\/i>\u5b58\u5728\u3059\u308b\u5834\u5408\u3001 <i>f \u306f<\/i><i>a<\/i>\u3067\u6975\u5c0f\u5024\u306b\u9054\u3059\u308b\u3068\u8a00\u3044\u307e\u3059\u3002<br\/>\u6b21\u306b\u3001 <i>f(a) \u306f<\/i><i><strong>D<\/strong><\/i>\u4e0a\u306e<i>f<\/i>\u306e\u300c\u5c40\u6240\u6700\u5c0f\u5024\u300d\u3067\u3042\u308b\u3068\u8a00\u3044\u307e\u3059\u3002<\/p><h3><span>\u95a2\u6570\u306e\u6975\u5024\u3092<span>\u898b\u3064\u3051\u308b<\/span>\u305f\u3081\u306e\u901a\u5e38\u306e\u65b9\u6cd5<\/span><\/h3><p>\u95a2\u6570\u306e\u6975\u5024\u306e\u6982\u5ff5\u306f\u3001\u5230\u7740\u96c6\u5408<i><strong>F<\/strong><\/i>\u304c\u5b8c\u5168\u9806\u5e8f\u96c6\u5408\u3067\u3042\u308b\u5834\u5408\u306e\u5206\u6790\u306b\u304a\u3044\u3066\u7279\u306b\u8208\u5473\u6df1\u3044\u3082\u306e\u3067\u3059\u3002 <div class=\"math-formual notranslate\">$$ {\\R} $$<\/div>\u5b9f\u6570\u3002\u3053\u306e\u5834\u5408\u3001\u5fae\u5206\u7a4d\u5206\u306f\u5c40\u6240\u6975\u5024\u3092\u691c\u7d22\u3059\u308b\u52b9\u7387\u7684\u306a\u624b\u6bb5\u3067\u3059\u3002<\/p><p>\u3053\u3053\u3067\u306f\u30011 \u3064\u4ee5\u4e0a\u306e\u5b9f\u5909\u6570\u306e\u5b9f\u6570\u5024\u95a2\u6570\u306b\u9650\u5b9a\u3057\u3066\u3001\u3044\u304f\u3064\u304b\u306e\u91cd\u8981\u306a\u30e1\u30bd\u30c3\u30c9\u3092\u5f15\u7528\u3057\u307e\u3059\u3002<\/p><h4><span>\u5b9f<span><a href=\"https:\/\/science-hub.click\/?p=72623\">\u5909\u6570<\/a><\/span>\u306e\u5b9f\u95a2\u6570\u306e\u5834\u5408<\/span><\/h4><p>\u307e\u305f\u306f\u95a2\u6570<div class=\"math-formual notranslate\">$$ {f\u00a0: I \\to\\R} $$<\/div> , \u3053\u3053\u3067\u3001 <i>I \u306f<\/i>\u6b21\u306e\u9593\u9694\u3067\u3059\u3002 <div class=\"math-formual notranslate\">$$ {\\R} $$<\/div>\u70b9\u307e\u3067\u306b\u306f\u6e1b\u3063\u3066\u3044\u307e\u305b\u3093\u3002\u70b9\u306f\u3001\u533a\u9593\u306e\u9650\u754c\u3067\u306f\u306a\u3044<i>I<\/i>\u306e\u8981\u7d20\u3067\u3042\u308b\u5834\u5408\u306b\u9650\u308a\u3001 <i>I<\/i>\u306e\u5185\u90e8\u306b\u3042\u308a\u307e\u3059\u3002<\/p><ul><li>\u5927\u57df\u7684\u6975\u5024\u306e\u5b58\u5728 (\u5883\u754c\u5b9a\u7406):<\/li><\/ul><dl><dd> <i>I \u304c<\/i>\u9589\u3058\u305f\u6709\u754c\u3067\u3042\u308a\u3001 <i>f<\/i>\u304c\u9023\u7d9a\u3067\u3042\u308b\u5834\u5408\u3001 <i>f \u306f<\/i><i>I<\/i>\u306b\u5bfe\u3057\u3066\u5927\u57df\u7684\u6700\u5927\u5024\u3068\u5927\u57df\u7684\u6700\u5c0f\u5024\u3092\u8a8d\u3081\u307e\u3059\u3002<\/dd><\/dl><ul><li>\u5c40\u6240\u6975\u5024\u306e\u5fc5\u8981\u6761\u4ef6:<\/li><\/ul><dl><dd> <i>f \u304c<\/i><i>I<\/i>\u306e<span><i>\u5185\u90e8<\/i><\/span><strong>\u306e<\/strong>\u70b9\u3067\u6975\u5024\u306b\u9054\u3057\u3001\u3053\u306e\u70b9\u3067\u5fae\u5206\u53ef\u80fd\u3067\u3042\u308b\u5834\u5408\u3001 <div class=\"math-formual notranslate\">$$ {\\ f\\,'(a) = 0} $$<\/div> \u3002<\/dd><\/dl><ul><li>\u5c40\u6240\u6975\u5024\u306e\u5341\u5206\u6761\u4ef6:<\/li><\/ul><dl><dd> <i>f<\/i>\u304c<i>I<\/i>\u4e0a\u3067\u5fae\u5206\u53ef\u80fd\u3067\u3042\u308a\u3001 <span><i>a \u304c<\/i><\/span><i>f<\/i>\u306e<span><a href=\"https:\/\/science-hub.click\/?p=14016\">\u5c0e\u95a2\u6570<\/a><\/span>\u304c\u7b26\u53f7\u306e\u5909\u66f4\u306b\u3088\u3063\u3066\u6d88\u3048\u308b<i>I<\/i>\u306b\u304a\u3051\u308b<strong>\u5185<\/strong>\u70b9\u3067\u3042\u308b\u5834\u5408\u3001 <i>f \u306f<\/i><span><i>a<\/i><\/span>\u3067\u5c40\u6240\u6975\u5024\u306b\u9054\u3057\u307e\u3059\u3002\u3088\u308a\u6b63\u78ba\u306b\u4eee\u5b9a\u3059\u308b\u3068\u3001 <div class=\"math-formual notranslate\">$$ {\\ f\\,'(a) = 0} $$<\/div> :<dl><dd>\u6b21\u306e\u3088\u3046\u306a\u53b3\u5bc6\u306b\u6b63\u306e\u5b9f\u6570<span>\u03b1<\/span>\u304c\u5b58\u5728\u3059\u308b\u5834\u5408\u3001 <div class=\"math-formual notranslate\">$$ {[a-\\alpha,\\, a + \\alpha] \\subset I} $$<\/div><\/dd><dd>\u305d\u3057\u3066<div class=\"math-formual notranslate\">$$ {f\\,&#8217; \\geq 0} $$<\/div>\u306e\u4e0a<div class=\"math-formual notranslate\">$$ {[a-\\alpha,\\, a]} $$<\/div> \u3001 <div class=\"math-formual notranslate\">$$ {f\\,&#8217; \\leq 0} $$<\/div>\u306e\u4e0a<div class=\"math-formual notranslate\">$$ {[a,\\, a + \\alpha]} $$<\/div> \u3001<\/dd><dd>\u6b21\u306b\u3001 <i>f \u306f<\/i><span><i>a<\/i><\/span>\u3067\u6975\u5927\u5024\u306b\u9054\u3057\u307e\u3059\u3002<\/dd><dd>\u6b21\u306e\u3088\u3046\u306a\u53b3\u5bc6\u306b\u6b63\u306e\u5b9f\u6570<span>\u03b1<\/span>\u304c\u5b58\u5728\u3059\u308b\u5834\u5408\u3001 <div class=\"math-formual notranslate\">$$ {[a-\\alpha,\\, a + \\alpha] \\subset I} $$<\/div><\/dd><dd>\u305d\u3057\u3066<div class=\"math-formual notranslate\">$$ {f\\,&#8217; \\leq 0} $$<\/div>\u306e\u4e0a<div class=\"math-formual notranslate\">$$ {[a-\\alpha,\\, a]} $$<\/div> \u3001 <div class=\"math-formual notranslate\">$$ {f\\,&#8217; \\geq 0} $$<\/div>\u306e\u4e0a<div class=\"math-formual notranslate\">$$ {[a,\\, a + \\alpha]} $$<\/div> \u3001<\/dd><dd>\u3053\u306e\u5834\u5408\u3001 <i>f \u306f<\/i><span><i>a<\/i><\/span>\u3067\u6975\u5c0f\u5024\u306b\u9054\u3057\u307e\u3059\u3002<\/dd><\/dl><\/dd><\/dl><h5><span>\u6c17\u3065\u3044\u305f<\/span><\/h5><p>\u5c40\u6240\u6975\u5024\u306e\u5fc5\u8981\u6761\u4ef6\u306f\u3001\u9593\u9694\u306e\u5236\u9650\u306b\u306f\u9069\u7528\u3055\u308c\u307e\u305b\u3093\u3002\u305f\u3068\u3048\u3070\u3001\u95a2\u6570<\/p><dl><dd><div class=\"math-formual notranslate\">$$ {f\u00a0: [0, 1] \\to\\R,\\, x \\mapsto x} $$<\/div><\/dd><\/dl><p>\u306f\u30010 \u3068 1 \u306b\u9054\u3059\u308b 2 \u3064\u306e\u30b0\u30ed\u30fc\u30d0\u30eb\u6975\u5024 (<i>\u30d5\u30a9\u30fc\u30c6\u30a3<\/i>\u30aa\u30ea \u30ed\u30fc\u30ab\u30eb) \u3092\u8a8d\u3081\u307e\u3059\u3002\u3055\u3089\u306b\u3001\u5fae\u5206\u53ef\u80fd\u3067\u3042\u308a\u3001\u305d\u306e\u5c0e\u95a2\u6570\u306f\u3044\u304b\u306a\u308b\u70b9\u3067\u3082\u76f8\u6bba\u3055\u308c\u307e\u305b\u3093\u3002<\/p><figure class=\"wp-block-image size-large is-style-default\">\n<img decoding=\"async\" alt=\"\u6975\u5024\u306b\u3064\u3044\u3066\u8a73\u3057\u304f\u89e3\u8aac\" class=\"aligncenter\" onerror=\"this.style.display=none;\" src=\"https:\/\/img.youtube.com\/vi\/jUXYJNNIYkM\/0.jpg\" style=\"width:100%;\"\/><\/figure><h4><span>\u8907\u6570\u306e\u5b9f\u5909\u6570\u306e\u5b9f\u95a2\u6570\u306e\u5834\u5408<\/span><\/h4><p>\u307e\u305f\u306f\u95a2\u6570<div class=\"math-formual notranslate\">$$ {f\u00a0: A \\to\\R, x = (x_1,\\, \\dots,\\, x_n) \\mapsto f(x) = f(x_1,\\, \\dots,\\, x_n)} $$<\/div> \u3001\u3053\u3053\u3067<i>A \u306f<\/i>\u7a7a\u3067\u306a\u3044\u90e8\u5206\u3067\u3059<div class=\"math-formual notranslate\">$$ {\\R^n} $$<\/div> \u3002<\/p><ul><li>\u5927\u57df\u7684\u6975\u5024\u306e\u5b58\u5728 (\u5883\u754c\u5b9a\u7406):<\/li><\/ul><dl><dd> <i>A<\/i>\u304c\u9589\u3058\u305f\u6709\u754c\u3067\u3042\u308a\u3001 <i>f<\/i>\u304c\u9023\u7d9a\u3067\u3042\u308b\u5834\u5408\u3001 <i>f \u306f<\/i><i>A<\/i>\u306b\u5bfe\u3057\u3066\u5927\u57df\u7684\u6700\u5927\u5024\u3068\u5927\u57df\u7684\u6700\u5c0f\u5024\u3092\u8a8d\u3081\u307e\u3059\u3002<\/dd><\/dl><ul><li>\u5c40\u6240\u6975\u5024\u306e\u5fc5\u8981\u6761\u4ef6:<\/li><\/ul><dl><dd>\u3053\u3053\u3067\u306f\u3001 <i>A<\/i>\u304c\u30aa\u30fc\u30d7\u30f3\u3067\u3042\u308a\u3001 <i>f<\/i>\u304c<i>A<\/i>\u4e0a\u306e\u30af\u30e9\u30b9<span>C <sup>1<\/sup><\/span>\u3067\u3042\u308b\u3068\u4eee\u5b9a\u3057\u307e\u3059\u3002<\/dd><dd> <i>f \u304c<\/i><i>A<\/i>\u306e\u70b9<span><i>a<\/i><\/span>\u3067\u6975\u5024\u306b\u9054\u3059\u308b\u3068\u3001\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002 <div class=\"math-formual notranslate\">$$ {\\nabla f(a) = 0} $$<\/div> : \u3053\u306e\u70b9\u3067\u306e<i>f<\/i>\u306e\u52fe\u914d\u306f\u30bc\u30ed\u3067\u3059\u3002<\/dd><dd><strong>\u6ce8\u610f<\/strong>:<span><a href=\"https:\/\/science-hub.click\/?p=74671\">\u5b9a\u7fa9<\/a><\/span>\u306b\u3088\u308a\u3001 <span><i>a<\/i><\/span>\u306b\u304a\u3051\u308b<i>f<\/i>\u306e\u52fe\u914d\u306f\u6b21\u306e<span><a href=\"https:\/\/science-hub.click\/?p=66129\">\u30d9\u30af\u30c8\u30eb<\/a><\/span>\u3067\u3059\u3002 <div class=\"math-formual notranslate\">$$ {\\R^n} $$<\/div> : <div class=\"math-formual notranslate\">$$ {\\nabla f(a) = \\left(\\frac{\\partial f}{\\partial x_1}(a),\\, \\dots,\\, \\frac{\\partial f}{\\partial x_n}(a) \\right)} $$<\/div> \u3002<\/dd><\/dl><ul><li>\u5c40\u6240\u6975\u5024\u306e\u5341\u5206\u6761\u4ef6:<\/li><\/ul><dl><dd>\u3053\u3053\u3067\u306f\u3001 <i>A<\/i>\u304c\u30aa\u30fc\u30d7\u30f3\u3067\u3042\u308a\u3001 <i>f \u304c<\/i><i>A<\/i>\u306e\u30af\u30e9\u30b9<span>C <sup>2<\/sup><\/span>\u3067\u3042\u308b\u3068\u4eee\u5b9a\u3057\u307e\u3059\u3002<\/dd><dd> <i>A<\/i>\u306e\u70b9<span><i>a\u3092<\/i><\/span>\u8003\u3048\u307e\u3059\u3002 <i>f<\/i>\u304b\u3089<span><i>a<\/i><\/span>\u307e\u3067\u306e\u30d8\u30c3\u30bb\u884c\u5217 (\u884c\u5217) \u306f\u6b21\u306e\u3088\u3046\u306b\u8868\u3055\u308c\u307e\u3059\u3002 <div class=\"math-formual notranslate\">$$ {\\nabla^2 f(a)} $$<\/div> ;\u305d\u308c\u306f\u672c\u5f53\u306b\u5bfe\u79f0\u3067\u3059\u3002<dl><dd>\u3082\u3057<div class=\"math-formual notranslate\">$$ {\\nabla f(a) = 0} $$<\/div>\u305d\u3057\u3066\u3082\u3057<div class=\"math-formual notranslate\">$$ {\\nabla^2 f(a)} $$<\/div>\u304c\u8ca0\u5b9a\u5024\u306e\u5834\u5408\u3001 <i>f \u306f<\/i><span><i>a<\/i><\/span>\u3067\u6975\u5927\u5024\u306b\u9054\u3057\u307e\u3059\u3002<\/dd><dd>\u3082\u3057<div class=\"math-formual notranslate\">$$ {\\nabla f(a) = 0} $$<\/div>\u305d\u3057\u3066\u3082\u3057<div class=\"math-formual notranslate\">$$ {\\nabla^2 f(a)} $$<\/div>\u304c\u6b63\u5b9a\u5024\u306e\u5834\u5408\u3001 <i>f \u306f<\/i><span><i>a<\/i><\/span>\u3067\u6975\u5c0f\u5024\u306b\u9054\u3057\u307e\u3059\u3002<\/dd><\/dl><\/dd><dd><strong>\u6ce8\u610f<\/strong>: \u5b9a\u7fa9\u306b\u3088\u308a\u3001 <span><i>a<\/i><\/span>\u306b\u304a\u3051\u308b<i>f<\/i>\u306e\u30d8\u30c3\u30bb\u884c\u5217\u306f\u6b21\u6570<i>n<\/i>\u306e\u6b63\u65b9\u884c\u5217\u3067\u3059\u3002 <div class=\"math-formual notranslate\">$$ {\\frac{\\partial^2 f}{\\partial x_i\\, \\partial x_j}(a)} $$<\/div>\u884c<i>i<\/i> \u3001\u5217<i>j<\/i>\u306e\u8981\u7d20\u306e\u5834\u5408\u3002<\/dd><dd> <i>f \u306f<\/i>\u30af\u30e9\u30b9<span>C <sup>2<\/sup><\/span>\u3067\u3042\u308b\u305f\u3081\u30012 \u6b21\u306e\u504f\u5c0e\u95a2\u6570\u306b\u95a2\u3059\u308b\u30b7\u30e5\u30ef\u30eb\u30c4\u306e<span>\u5b9a\u7406<\/span>\u304b\u3089\u3001\u30d8\u30c3\u30bb\u884c\u5217\u306f\u5bfe\u79f0\u3067\u3042\u308b\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u3002<\/dd><\/dl><figure class=\"wp-block-image size-large is-style-default\">\n<img decoding=\"async\" alt=\"\u6975\u5024\u306b\u3064\u3044\u3066\u8a73\u3057\u304f\u89e3\u8aac\" class=\"aligncenter\" onerror=\"this.style.display=none;\" src=\"https:\/\/img.youtube.com\/vi\/UQswRcP5gs8\/0.jpg\" style=\"width:100%;\"\/><\/figure><h2> <span>2\u3064\u306e\u6a5f\u80fd\u306e\u6700\u9069\u306a\u6a5f\u80fd<\/span><\/h2><p>2 \u3064\u306e\u95a2\u6570\u306e\u6700\u5c0f\u95a2\u6570\u3068\u6700\u5927\u95a2\u6570\u306f\u3001\u7d76\u5bfe\u5024<span><a href=\"https:\/\/science-hub.click\/?p=100649\">\u3092\u4f7f\u7528\u3057\u3066<\/a><\/span>\u5b9a\u7fa9\u3067\u304d\u307e\u3059\u3002<\/p><\/div><h2 class=\"ref_link\">\u53c2\u8003\u8cc7\u6599<\/h2><ol><li><a class=\"notranslate\" href=\"https:\/\/ar.wikipedia.org\/wiki\/%D8%A7%D9%84%D9%86%D9%82%D8%A7%D8%B7_%D8%A7%D9%84%D8%AD%D8%AF%D9%8A%D8%A9\">\u0627\u0644\u0646\u0642\u0627\u0637 \u0627\u0644\u062d\u062f\u064a\u0629 \u2013 arabe<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/az.wikipedia.org\/wiki\/Ekstremum\">Ekstremum \u2013 azerba\u00efdjanais<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/bg.wikipedia.org\/wiki\/E%D0%BA%D1%81%D1%82%D1%80%D0%B5%D0%BC%D1%83%D0%BC\">E\u043a\u0441\u0442\u0440\u0435\u043c\u0443\u043c \u2013 bulgare<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/ca.wikipedia.org\/wiki\/M%C3%A0xims_i_m%C3%ADnims\">M\u00e0xims i m\u00ednims \u2013 catalan<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/cs.wikipedia.org\/wiki\/Extr%C3%A9m_funkce\">Extr\u00e9m funkce \u2013 tch\u00e8que<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/cv.wikipedia.org\/wiki\/%D0%AD%D0%BA%D1%81%D1%82%D1%80%D0%B5%D0%BC%D1%83%D0%BC\">\u042d\u043a\u0441\u0442\u0440\u0435\u043c\u0443\u043c \u2013 tchouvache<\/a><\/li><\/ol><\/div>\n<div class=\"feature-video\">\n <h2>\n  \u6975\u5024\u306b\u3064\u3044\u3066\u8a73\u3057\u304f\u89e3\u8aac\u30fb\u95a2\u9023\u52d5\u753b\n <\/h2>\n <div class=\"video-item\">\n  \n  <figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\">\n   <div class=\"wp-block-embed__wrapper\">\n    <iframe loading=\"lazy\" title=\"3\u6b21\u95a2\u6570\u306e\u6975\u5024\u306e\u5dee\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/rdteL16SD6Y?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe>\n   <\/div>\n  <\/figure>\n  \n <\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u300c\u6975\u5024\u8981\u7d20\u300d\u3068\u3044\u3046\u8868\u73fe\u306f\u3001\u300c\u6700\u5927\u8981\u7d20\u300d\u307e\u305f\u306f\u300c\u6700\u5c0f\u8981\u7d20\u300d\u3092\u610f\u5473\u3059\u308b\u3002 \u9806\u5e8f\u4ed8\u304d\u30bb\u30c3\u30c8\u3067\u306f\u3001\u3053\u306e\u30bb\u30c3\u30c8\u306e\u4e00\u90e8\u306e\u6700\u5927\u8981\u7d20(\u305d\u308c\u305e\u308c\u6700\u5c0f\u8981\u7d20) \u307e\u305f\u306f\u6700\u5927\u8981\u7d20(\u305d\u308c\u305e\u308c\u6700\u5c0f\u8981\u7d20) \u306f\u3001\u5b58\u5728\u3059\u308b\u5834\u5408\u3001\u3053\u306e\u90e8\u5206\u306b\u5c5e\u3057\u3001\u4e0a\u4f4d (\u305d\u308c [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":68356,"comment_status":"","ping_status":"","sticky":false,"template":"","format":"standard","meta":{"fifu_image_url":"https:\/\/img.youtube.com\/vi\/DcaQzyJG3_0\/0.jpg","fifu_image_alt":"\u6975\u5024\u306b\u3064\u3044\u3066\u8a73\u3057\u304f\u89e3\u8aac","footnotes":""},"categories":[5],"tags":[63520,11,13,14,10,63519,12,16,15],"class_list":["post-68355","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-dictionary","tag-camille-flammarion","tag-techniques","tag-technologie","tag-news","tag-actualite","tag-fichiers","tag-dossier","tag-sciences","tag-article"],"_links":{"self":[{"href":"https:\/\/science-hub.click\/index.php?rest_route=\/wp\/v2\/posts\/68355"}],"collection":[{"href":"https:\/\/science-hub.click\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/science-hub.click\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/science-hub.click\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/science-hub.click\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=68355"}],"version-history":[{"count":0,"href":"https:\/\/science-hub.click\/index.php?rest_route=\/wp\/v2\/posts\/68355\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/science-hub.click\/index.php?rest_route=\/wp\/v2\/media\/68356"}],"wp:attachment":[{"href":"https:\/\/science-hub.click\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=68355"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/science-hub.click\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=68355"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/science-hub.click\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=68355"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}