{"id":322,"date":"2023-07-06T08:31:48","date_gmt":"2023-07-06T08:31:48","guid":{"rendered":"https:\/\/mathority.org\/ja\/%e3%83%98%e3%82%b7%e3%82%a2%e3%83%b3%e8%a1%8c%e5%88%97-%e3%83%98%e3%82%b7%e3%82%a2%e3%83%b3-2x2-3x3\/"},"modified":"2023-07-06T08:31:48","modified_gmt":"2023-07-06T08:31:48","slug":"%e3%83%98%e3%82%b7%e3%82%a2%e3%83%b3%e8%a1%8c%e5%88%97-%e3%83%98%e3%82%b7%e3%82%a2%e3%83%b3-2x2-3x3","status":"publish","type":"post","link":"https:\/\/mathority.org\/ja\/%e3%83%98%e3%82%b7%e3%82%a2%e3%83%b3%e8%a1%8c%e5%88%97-%e3%83%98%e3%82%b7%e3%82%a2%e3%83%b3-2x2-3x3\/","title":{"rendered":"\u30d8\u30c3\u30bb\u884c\u5217 (\u307e\u305f\u306f\u30d8\u30c3\u30bb\u884c\u5217)"},"content":{"rendered":"<p>\u3053\u306e\u30da\u30fc\u30b8\u306f\u3001\u5b58\u5728\u3059\u308b\u30d8\u30c3\u30bb\u884c\u5217\u306e\u6700\u3082\u5b8c\u5168\u306a\u8aac\u660e\u3067\u3042\u308b\u3053\u3068\u306f\u9593\u9055\u3044\u3042\u308a\u307e\u305b\u3093\u3002\u3053\u3053\u3067\u306f\u3001\u30d8\u30c3\u30bb\u884c\u5217\u306e\u6982\u5ff5\u3068\u305d\u306e\u8a08\u7b97\u65b9\u6cd5\u3092\u4f8b\u3068\u3068\u3082\u306b\u8aac\u660e\u3057\u3001\u5b9f\u8df5\u3059\u308b\u305f\u3081\u306e\u89e3\u6c7a\u3055\u308c\u305f\u6f14\u7fd2\u3082\u3044\u304f\u3064\u304b\u3042\u308a\u307e\u3059\u3002\u3055\u3089\u306b\u3001\u591a\u5909\u6570\u95a2\u6570\u306e\u6700\u5927\u5024\u3068\u6700\u5c0f\u5024\u306e\u8a08\u7b97\u65b9\u6cd5\u3084\u3001\u305d\u308c\u304c\u51f9\u95a2\u6570\u304b\u51f8\u95a2\u6570\u304b\u306b\u3064\u3044\u3066\u3082\u5b66\u3076\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u6700\u5f8c\u306b\u3001\u30d8\u30c3\u30bb\u884c\u5217\u306e\u30e6\u30fc\u30c6\u30a3\u30ea\u30c6\u30a3\u3068\u30a2\u30d7\u30ea\u30b1\u30fc\u30b7\u30e7\u30f3\u3082\u7d39\u4ecb\u3057\u307e\u3059\u3002<\/p>\n<h2 class=\"wp-block-heading\">\u30d8\u30c3\u30bb\u884c\u5217\u3068\u306f\u4f55\u3067\u3059\u304b?<\/h2>\n<p>\u30d8\u30c3\u30bb\u884c\u5217 (\u307e\u305f\u306f\u30d8\u30c3\u30bb\u884c\u5217) \u306e\u5b9a\u7fa9\u306f\u6b21\u306e\u3068\u304a\u308a\u3067\u3059\u3002<\/p>\n<p class=\"has-background\" style=\"background-color:#dff6ff\"><strong>\u30d8\u30c3\u30bb\u884c\u5217\u306f\u3001<\/strong> n \u5909\u6570\u306e\u95a2\u6570\u306e\u504f\u4e8c\u6b21\u5c0e\u95a2\u6570\u3067\u69cb\u6210\u3055\u308c\u308b n \u00d7 n \u6b21\u5143\u306e\u6b63\u65b9\u884c\u5217\u3067\u3059\u3002<\/p>\n<p>\u3053\u306e\u884c\u5217\u306f\u30d8\u30c3\u30bb\u884c\u5217\u3068\u3057\u3066\u3082\u77e5\u3089\u308c\u3001\u4e00\u90e8\u306e\u6570\u5b66\u306e\u672c\u3067\u306f\u5224\u5225\u5f0f\u3068\u547c\u3070\u308c\u3066\u3044\u307e\u3059\u3002\u305f\u3060\u3057\u3001\u6700\u3082\u4e00\u822c\u7684\u306a\u547c\u3073\u65b9\u306f\u30d8\u30c3\u30bb\u884c\u5217\u3067\u3059\u3002<\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u30d8\u30c3\u30bb\u884c\u5217\u306e\u5f0f\u306f\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002 <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/formule-matricielle-hessienne.webp\" alt=\"\u30d8\u30b7\u30a2\u30f3\u307e\u305f\u306f\u30d8\u30b7\u30a2\u30f3\u884c\u5217\u306e\u5f0f\" class=\"wp-image-2445\" width=\"541\" height=\"345\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u30d8\u30c3\u30bb\u884c\u5217\u306f\u5e38\u306b\u95a2\u6570\u5185\u306e\u5909\u6570\u306e\u6570\u306b\u7b49\u3057\u3044\u6b21\u5143\u3092\u6301\u3064\u6b63\u65b9\u884c\u5217\u306b\u306a\u308a\u307e\u3059\u3002\u305f\u3068\u3048\u3070\u3001\u95a2\u6570\u306b 3 \u3064\u306e\u5909\u6570\u304c\u3042\u308b\u5834\u5408\u3001\u30d8\u30c3\u30bb\u884c\u5217\u306e\u6b21\u5143\u306f 3\u00d73 \u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\u3055\u3089\u306b\u3001<strong>\u30b7\u30e5\u30ef\u30eb\u30c4\u306e\u5b9a\u7406<\/strong>(\u307e\u305f\u306f\u30af\u30ec\u30ed\u30fc\u306e\u5b9a\u7406) \u306f\u3001\u5fae\u5206\u306e\u9806\u5e8f\u306f\u91cd\u8981\u3067\u306f\u306a\u3044\u3001\u3064\u307e\u308a\u3001\u5909\u6570\u306b\u95a2\u3057\u3066\u90e8\u5206\u7684\u306b\u5c0e\u51fa\u3059\u308b\u3053\u3068\u304c\u91cd\u8981\u3067\u3042\u308b\u3068\u8ff0\u3079\u3066\u3044\u307e\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-01a7b7b5dca66cb33a1207e1f39c1140_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x_1\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"16\" style=\"vertical-align: -3px;\"><\/p>\n<p>\u6b21\u306b\u5909\u6570\u306b\u95a2\u3057\u3066<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f1cd6be340b4fce14489cf5b565a169e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x_2\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"17\" style=\"vertical-align: -3px;\"><\/p>\n<p>\u306b\u95a2\u3057\u3066\u504f\u5fae\u5206\u3059\u308b\u3053\u3068\u306b\u76f8\u5f53\u3057\u307e\u3059<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f1cd6be340b4fce14489cf5b565a169e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x_2\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"17\" style=\"vertical-align: -3px;\"><\/p>\n<p>\u305d\u308c\u306a\u3089\u5c0a\u91cd\u3059\u308b<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-01a7b7b5dca66cb33a1207e1f39c1140_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x_1\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"16\" style=\"vertical-align: -3px;\"><\/p>\n<p>\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8e5cc28564c40c6588680df48d8255ec_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\cfrac{\\partial^2 f}{\\partial x_i\\partial x_j} = \\cfrac{\\partial^2 f}{\\partial x_j\\partial x_i}\" title=\"Rendered by QuickLaTeX.com\" height=\"47\" width=\"133\" style=\"vertical-align: -18px;\"><\/p>\n<\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u30d8\u30c3\u30bb\u884c\u5217\u306f<strong>\u5bfe\u79f0<\/strong>\u884c\u5217\u3001\u3064\u307e\u308a\u4e3b\u5bfe\u89d2\u3092\u8ef8\u3068\u3059\u308b\u5bfe\u79f0\u6027\u3092\u6301\u3061\u307e\u3059\u3002<\/p>\n<p>\u8208\u5473\u6df1\u3044\u3053\u3068\u306b\u3001\u30d8\u30c3\u30bb\u884c\u5217\u306f\u3001\u7dda\u5f62\u4ee3\u6570\u306e\u5206\u91ce\u306b\u975e\u5e38\u306b\u91cd\u8981\u306a\u8ca2\u732e\u3092\u3057\u305f 19 \u4e16\u7d00\u306e\u30c9\u30a4\u30c4\u306e\u6570\u5b66\u8005\u3001\u30eb\u30fc\u30c8\u30f4\u30a3\u30d2 \u30aa\u30c3\u30c8\u30fc \u30d8\u30c3\u30bb\u306b\u3061\u306a\u3093\u3067\u540d\u4ed8\u3051\u3089\u308c\u307e\u3057\u305f\u3002<\/p>\n<h2 class=\"wp-block-heading\">\u30d8\u30c3\u30bb\u884c\u5217\u306e\u8a08\u7b97\u4f8b<\/h2>\n<p>2 \u00d7 2 \u6b21\u5143\u306e\u30d8\u30c3\u30bb\u884c\u5217\u3092\u898b\u3064\u3051\u308b\u65b9\u6cd5\u306e\u4f8b\u3092\u898b\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n<ul>\n<li>\u6b21\u306e\u95a2\u6570\u306e\u70b9 (1,0) \u306b\u304a\u3051\u308b\u30d8\u30c3\u30bb\u884c\u5217\u3092\u8a08\u7b97\u3057\u307e\u3059\u3002<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-03bcc33e393ddc95defdc3cc04da35c2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  f(x,y)=y^4+x^3+3x^2+ 4y^2 -4xy -5y +8\" title=\"Rendered by QuickLaTeX.com\" height=\"21\" width=\"348\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u307e\u305a\u3001\u4e00\u6b21\u504f\u5c0e\u95a2\u6570\u3092\u8a08\u7b97\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-fd57722dfa592f129cac21ba8f183e05_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\cfrac{\\partial f}{\\partial x} = 3x^2 +6x -4y\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"152\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-1847d0b9ecd032b396d64ac27e5e3eeb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\cfrac{\\partial f}{\\partial y} = 4y^3+8y -4x -5\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"181\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p>\u4e00\u6b21\u5c0e\u95a2\u6570\u304c\u3059\u3067\u306b\u308f\u304b\u3063\u305f\u3089\u3001\u3059\u3079\u3066\u306e\u4e8c\u6b21\u504f\u5c0e\u95a2\u6570\u3092\u8a08\u7b97\u3057\u307e\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-294ce075a54a240e012d30770fa10e3b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\cfrac{\\partial^2 f}{\\partial x^2} = 6x +6\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"102\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-895c605e3c401f96a0a9b07ea105522c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\cfrac{\\partial^2 f}{\\partial y^2} =12y^2 +8\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"118\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-2ea4b2979928198e9fb91592d9e38874_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\cfrac{\\partial^2 f}{\\partial x \\partial y} = \\cfrac{\\partial^2 f}{\\partial y \\partial x}= -4\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"153\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u30012 \u00d7 2 \u884c\u5217\u306e\u5f0f\u304b\u3089\u30d8\u30c3\u30bb\u884c\u5217\u3092\u898b\u3064\u3051\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-926f350fe0ac3184ec0b563b57fd6041_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle H_f (x,y)=\\begin{pmatrix}\\cfrac{\\partial^2 f}{\\partial x^2} &amp; \\cfrac{\\partial^2 f}{\\partial x \\partial y} \\\\[4ex] \\cfrac{\\partial^2 f}{\\partial y \\partial x} &amp; \\cfrac{\\partial^2 f}{\\partial y^2} \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"111\" width=\"215\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b7f3d45918645a5b6019896ed45eda75_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle H_f (x,y)=\\begin{pmatrix}6x +6 &amp;-4 \\\\[2ex] -4 &amp; 12y^2+8 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"64\" width=\"246\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u70b9 (1,0) \u3067\u8a55\u4fa1\u3055\u308c\u308b\u30d8\u30c3\u30bb\u884c\u5217\u306f\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002 <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-bdccfc61f7befe6c75f66c8a4658f3e6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle H_f (1,0)=\\begin{pmatrix}6(1) +6 &amp;-4 \\\\[2ex] -4 &amp; 12(0)^2+8 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"64\" width=\"270\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/exemple-matrice-hessienne-de-dimension-22152.webp\" alt=\"\u9ec4\u9ebb\u5e03\u307e\u305f\u306f\u30d8\u30b7\u30a2\u30f3\u30c0\u30a4\u306e\u4f8b\" class=\"wp-image-2487\" width=\"230\" height=\"80\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<h2 class=\"wp-block-heading\">\u30d8\u30c3\u30bb\u884c\u5217\u306e\u554f\u984c\u3092\u89e3\u6c7a\u3057\u307e\u3057\u305f<\/h2>\n<h3 class=\"wp-block-heading\">\u6f14\u7fd2 1<\/h3>\n<p>\u70b9 (1,1) \u3067 2 \u3064\u306e\u5909\u6570\u3092\u4f7f\u7528\u3057\u3066\u3001\u6b21\u306e\u95a2\u6570\u306e\u30d8\u30c3\u30bb\u884c\u5217\u3092\u8a08\u7b97\u3057\u307e\u3059\u3002 <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d1e63eb1506d471fb8fdbc0e6db8de0a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  f(x,y)=x^2y+y^2x\" title=\"Rendered by QuickLaTeX.com\" height=\"21\" width=\"151\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E3F2FD boto_ver_solucion\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E3F2FD\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"><strong>\u89e3\u6c7a\u7b56\u3092\u53c2\u7167<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u307e\u305a\u3001\u95a2\u6570\u306e\u4e00\u6b21\u504f\u5c0e\u95a2\u6570\u3092\u898b\u3064\u3051\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002 <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-9786ccaea4ad9305eb8b50d98f7f2626_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\cfrac{\\partial f}{\\partial x} = 2xy+y^2\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"111\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-7b68a8a666732d228ad06ebd8bade063_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\cfrac{\\partial f}{\\partial y} = x^2+2yx\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"112\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u4e00\u6b21\u5c0e\u95a2\u6570\u3092\u3059\u3067\u306b\u8a08\u7b97\u3057\u305f\u3089\u3001\u3059\u3079\u3066\u306e\u4e8c\u6b21\u504f\u5c0e\u95a2\u6570\u3092\u89e3\u304d\u307e\u3059\u3002 <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ef3e5008f32d204cae79f8faceafb6ba_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\cfrac{\\partial^2 f}{\\partial x^2} = 2y\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"70\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-0e3f3f68ddab03ad22776b84f441cb7f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\cfrac{\\partial^2 f}{\\partial y^2} =2x\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"71\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e6383bbe85e851dd1e573981b52a0158_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\cfrac{\\partial^2 f}{\\partial x \\partial y} = \\cfrac{\\partial^2 f}{\\partial y \\partial x}=2x+2y\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"188\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u3057\u305f\u304c\u3063\u3066\u3001\u30d8\u30c3\u30bb\u884c\u5217\u306f\u6b21\u306e\u3088\u3046\u306b\u5b9a\u7fa9\u3055\u308c\u307e\u3059\u3002 <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/exercice-resolu-de-matrice-hessian-22152-1.webp\" alt=\"\u30d8\u30c3\u30bb\u884c\u5217\u307e\u305f\u306f 2x2 \u6b21\u5143\u306e\u30d8\u30c3\u30bb\u884c\u5217\u306e\u6f14\u7fd2\u554f\u984c\u3092\u89e3\u6c7a\u3057\u307e\u3057\u305f\u3002\" class=\"wp-image-2492\" width=\"290\" height=\"81\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p class=\"has-text-align-left\">\u6700\u5f8c\u306b\u3001\u6b8b\u3063\u3066\u3044\u308b\u306e\u306f\u3001\u70b9 (1,1) \u3067\u30d8\u30c3\u30bb\u884c\u5217\u3092\u8a55\u4fa1\u3059\u308b\u3053\u3068\u3060\u3051\u3067\u3059\u3002 <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e5353c0229942269e07455047284f92b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle H_f (1,1)=\\begin{pmatrix}2\\cdot 1 &amp;2 \\cdot 1+2\\cdot 1 \\\\[1.5ex] 2\\cdot 1+2\\cdot 1 &amp; 2\\cdot 1 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"292\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-cf00fccdb37a19388e76b5a84a408d02_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\bm{H_f (1,1)}=\\begin{pmatrix}\\bm{2} &amp; \\bm{4} \\\\[1.1ex] \\bm{4} &amp; \\bm{2} \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"145\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\u6f14\u7fd2 2<\/h3>\n<p> 2 \u3064\u306e\u5909\u6570\u3067\u6b21\u306e\u95a2\u6570\u306e\u70b9 (1,1) \u306b\u304a\u3051\u308b\u30d8\u30c3\u30bb\u884c\u5217\u3092\u8a08\u7b97\u3057\u307e\u3059\u3002 <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d577030e612ef7b6ab7b59aea4469539_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  f(x,y)= e^{y\\ln x}\" title=\"Rendered by QuickLaTeX.com\" height=\"21\" width=\"115\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E3F2FD boto_ver_solucion\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E3F2FD\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"><strong>\u89e3\u6c7a\u7b56\u3092\u53c2\u7167<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u307e\u305a\u3001\u95a2\u6570\u306e\u4e00\u6b21\u504f\u5c0e\u95a2\u6570\u3092\u8a08\u7b97\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002 <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-1025a749344fdf59c8c016387b7e2c37_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\cfrac{\\partial f}{\\partial x} = e^{y\\ln x} \\cdot \\cfrac{y}{x}\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"110\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-2ddfad6313a350d43404b19a2278d771_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\cfrac{\\partial f}{\\partial y} = e^{y\\ln x} \\cdot \\ln x\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"125\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u4e00\u6b21\u5c0e\u95a2\u6570\u3092\u53d6\u5f97\u3057\u305f\u3089\u3001\u95a2\u6570\u306e\u4e8c\u6b21\u504f\u5c0e\u95a2\u6570\u3092\u8a08\u7b97\u3057\u307e\u3059\u3002 <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-edcdf882fac053dc938c4f0d10060d30_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\cfrac{\\partial^2 f}{\\partial x^2} = e^{y\\ln x} \\cdot \\cfrac{y^2}{x^2} - e^{y\\ln x} \\cdot \\cfrac{y}{x^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"219\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-1f59a0f7a852311293edd2231235ae7f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\cfrac{\\partial^2 f}{\\partial y^2} =e^{y\\ln x} \\cdot \\ln ^2 x\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"141\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b760e29d744c2f294cf9cec33d61d1e7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\cfrac{\\partial^2 f}{\\partial x \\partial y}=\\cfrac{\\partial^2 f}{\\partial y \\partial x} =e^{y\\ln x} \\cdot \\cfrac{y}{x}\\cdot \\ln x + e^{y\\ln x}\\cdot \\cfrac{1}{x}\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"323\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u3057\u305f\u304c\u3063\u3066\u3001\u95a2\u6570\u306e\u30d8\u30c3\u30bb\u884c\u5217\u306f 2\u00d72 \u6b21\u5143\u306e\u6b63\u65b9\u884c\u5217\u306b\u306a\u308a\u307e\u3059\u3002 <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/exercice-resolu-de-hesse-de-dimension-22152-1.webp\" alt=\"\u89e3\u6c7a\u3055\u308c\u305f\u30d8\u30c3\u30bb\u884c\u5217\u307e\u305f\u306f 2x2 \u6b21\u5143\u306e\u30d8\u30c3\u30bb\u884c\u5217\" class=\"wp-image-2516\" width=\"620\" height=\"135\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p class=\"has-text-align-left\">\u6700\u5f8c\u306b\u3001\u6b8b\u3063\u3066\u3044\u308b\u306e\u306f\u3001\u70b9 (1,1) \u3067\u30d8\u30c3\u30bb\u884c\u5217\u3092\u8a55\u4fa1\u3059\u308b\u3053\u3068\u3060\u3051\u3067\u3059\u3002 <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c316cc61e6d007e5d034274e0f494520_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle H_f (1,1)=\\begin{pmatrix} e^{1\\ln (1)} \\displaystyle \\cdot \\cfrac{1^2}{1^2} - e^{1\\ln (1)} \\cdot \\cfrac{1}{1^2}&amp; e^{1\\ln (1)} \\cdot \\cfrac{1}{1}\\cdot \\ln (1) + e^{1\\ln (1)}\\cdot \\cfrac{1}{1} \\\\[3ex] e^{1\\ln (1)} \\cdot \\cfrac{1}{1}\\cdot \\ln (1) + e^{1\\ln (1)}\\cdot \\cfrac{1}{1} &amp; e^{1\\ln (1)} \\cdot \\ln ^2 (1) \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"99\" width=\"557\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6e456b856c722a140d73ade63f13ec9f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle H_f (1,1)=\\begin{pmatrix}e^{0} \\cdot 1 - e^{0} \\cdot 1&amp; e^{0} \\cdot 1\\cdot 0 + e^{0}\\cdot 1 \\\\[2ex] e^{0} \\cdot 1\\cdot 0 + e^{0}\\cdot 1 &amp; e^{0} \\cdot 0\\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"64\" width=\"366\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-929fbf6e7f0f90110d11d4ccd51fd51a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle H_f (1,1)=\\begin{pmatrix}1 - 1&amp; 0+ 1 \\\\[1.5ex] 0 +1 &amp; 1 \\cdot 0\\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"206\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ce780ddb8c09515afccfb2da2d842584_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\bm{H_f (1,1)}=\\begin{pmatrix}\\bm{0} &amp; \\bm{1} \\\\[1.1ex] \\bm{1} &amp; \\bm{0} \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"145\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\u6f14\u7fd2 3<\/h3>\n<p>\u70b9\u3067\u306e\u30d8\u30c3\u30bb\u884c\u5217\u3092\u6c42\u3081\u307e\u3059<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b324eec3855aa704cfe7cef3a72713f1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(0,1,\\pi)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"56\" style=\"vertical-align: -5px;\"><\/p>\n<p>3 \u3064\u306e\u5909\u6570\u3092\u4f7f\u7528\u3057\u305f\u6b21\u306e\u95a2\u6570: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-07614221c6aa91fe6591ecfdd7ee064b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  f(x,y,z)= e^{-x}\\cdot \\text{sen}(yz)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"189\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E3F2FD boto_ver_solucion\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E3F2FD\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"><strong>\u89e3\u6c7a\u7b56\u3092\u53c2\u7167<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u307e\u305a\u3001\u95a2\u6570\u306e\u4e00\u6b21\u504f\u5c0e\u95a2\u6570\u3092\u8a08\u7b97\u3057\u307e\u3059\u3002 <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f3403bbb8643fb0c3f01dc93031683d1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\cfrac{\\partial f}{\\partial x} = -e^{-x}\\cdot \\text{sen}(yz)\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"155\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6e77e08ad03b7a454f9a9f5c320d4902_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\cfrac{\\partial f}{\\partial y} = ze^{-x}\\cdot \\text{cos}(yz)\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"149\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-912b948c3339efba02beb10da8853e89_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\cfrac{\\partial f}{\\partial z} = ye^{-x}\\cdot \\text{cos}(yz)\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"149\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u4e00\u6b21\u5c0e\u95a2\u6570\u3092\u53d6\u5f97\u3057\u305f\u3089\u3001\u95a2\u6570\u306e\u4e8c\u6b21\u504f\u5c0e\u95a2\u6570\u3092\u8a08\u7b97\u3057\u307e\u3059\u3002 <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-831ffaaf0208ac80132c58e97c10696d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\cfrac{\\partial^2 f}{\\partial x^2} =e^{-x}\\cdot \\text{sen}(yz)\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"149\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f8c77e5f03861145b5370a208642c199_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\cfrac{\\partial^2 f}{\\partial x \\partial y}=\\cfrac{\\partial^2 f}{\\partial y \\partial x} =-ze^{-x}\\cdot \\text{cos}(yz)\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"248\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f3a5180d638ffbedb5028da56c5c2b9b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\cfrac{\\partial^2 f}{\\partial x \\partial z}=\\cfrac{\\partial^2 f}{\\partial z \\partial x} =-ye^{-x}\\cdot \\text{cos}(yz)\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"247\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-001a3978b472e9085c4658d19e976079_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\cfrac{\\partial^2 f}{\\partial y^2} =-z^2e^{-x}\\cdot \\text{sen}(yz)\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"179\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d8c2c222f469c688e41ed773c1721834_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\cfrac{\\partial^2 f}{\\partial y \\partial z}=\\cfrac{\\partial^2 f}{\\partial z \\partial y} =e^{-x}\\cdot \\text{cos}(yz)-yze^{-x}\\cdot \\text{sen}(yz)\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"360\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-98dcbe5198ef8336355c89a80bb981ce_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\cfrac{\\partial^2 f}{\\partial^2 z} = -y^2e^{-x}\\cdot \\text{sen}(yz)\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"179\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u3057\u305f\u304c\u3063\u3066\u3001\u95a2\u6570\u306e\u30d8\u30c3\u30bb\u884c\u5217\u306f 3 \u00d7 3 \u6b21\u5143\u306e\u6b63\u65b9\u884c\u5217\u306b\u306a\u308a\u307e\u3059\u3002 <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/exemple-de-matrice-de-hesse-en-3-dimensions-32153-1.webp\" alt=\"\u9ebb\u5e03\u307e\u305f\u306f\u5bf8\u6cd5 3x3 \u306e\u9ebb\u5e03\u30de\u30c8\u30ea\u30c3\u30af\u30b9\u306e\u4f8b\" class=\"wp-image-2537\" width=\"857\" height=\"109\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p class=\"has-text-align-left\">\u6700\u5f8c\u306b\u3001\u5909\u6570\u3092\u305d\u306e\u6642\u70b9\u306e\u305d\u308c\u305e\u308c\u306e\u5024\u306b\u7f6e\u304d\u63db\u3048\u307e\u3059<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-cf0e780dfde4cefb749a03fe14266290_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(0,1,\\pi):\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"66\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-4e198192f67babd81228caa53b66e8a0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle H_f(0,1,\\pi)=\\begin{pmatrix}e^{-0}\\cdot \\text{sen}(1\\pi) &amp; -\\pi e^{-0}\\cdot \\text{cos}(1\\pi) &amp;-1e^{-0}\\cdot \\text{cos}(1\\pi) \\\\[1.5ex] -\\pi e^{-0}\\cdot \\text{cos}(1 \\pi)&amp;-\\pi^2e^{-0}\\cdot \\text{sen}(1 \\pi) &amp;e^{-0}\\cdot \\text{cos}(1 \\pi)-1 \\pi e^{-0}\\cdot \\text{sen}(1 \\pi) \\\\[1.5ex] -1e^{-0}\\cdot \\text{cos}(1 \\pi)&amp; e^{-0}\\cdot \\text{cos}(1 \\pi)-1 \\pi e^{-0}\\cdot \\text{sen}(1 \\pi)&amp; -1^2e^{-0}\\cdot \\text{sen}(1 \\pi) \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"87\" width=\"756\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-4ce9c6b4cfcddfb0c2eb51db1189c653_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle H_f(0,1,\\pi)=\\begin{pmatrix}1\\cdot 0 &amp; -\\pi \\cdot 1 \\cdot (-1)&amp;-1\\cdot 1 \\cdot (-1) \\\\[1.5ex] -\\pi \\cdot 1 \\cdot (-1) &amp;-\\pi^2\\cdot 1\\cdot 0 &amp;1 \\cdot (-1)-\\pi \\cdot 1\\cdot 0 \\\\[1.5ex] -1\\cdot 1 \\cdot (-1) &amp; 1\\cdot (-1) - \\pi \\cdot 1\\cdot 0 &amp; -1\\cdot 1 \\cdot 0 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"527\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/exercice-resolu-de-matrice-hessiana-32153-1.webp\" alt=\"\u30d8\u30c3\u30bb\u884c\u5217\u307e\u305f\u306f 3x3 \u6b21\u5143\u306e\u30d8\u30c3\u30bb\u884c\u5217\u3092\u6bb5\u968e\u7684\u306b\u89e3\u304f\u6f14\u7fd2\" class=\"wp-image-2536\" width=\"291\" height=\"109\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\u6f14\u7fd2 4<\/h3>\n<p> 4 \u3064\u306e\u5909\u6570\u3092\u4f7f\u7528\u3057\u3066\u3001\u6b21\u306e\u95a2\u6570\u306e\u70b9 (2,-1,1,-1) \u306b\u304a\u3051\u308b\u30d8\u30c3\u30bb\u884c\u5217\u3092\u6c7a\u5b9a\u3057\u307e\u3059\u3002 <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-4cf4dde4cb282d4f494142475a514b6d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  f(x,y,z,w)= 2x^3y^4zw^2 - 2y^3w^4+ 3x^2z^2\" title=\"Rendered by QuickLaTeX.com\" height=\"21\" width=\"320\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E3F2FD boto_ver_solucion\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E3F2FD\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"><strong>\u89e3\u6c7a\u7b56\u3092\u53c2\u7167<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u6700\u521d\u306e\u30b9\u30c6\u30c3\u30d7\u306f\u3001\u95a2\u6570\u306e\u4e00\u6b21\u504f\u5c0e\u95a2\u6570\u3092\u898b\u3064\u3051\u308b\u3053\u3068\u3067\u3059\u3002 <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d559c24695adc4e5bf25a07162b0b82c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\cfrac{\\partial f}{\\partial x} =6x^2y^4zw^2 + 6xz^2\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"175\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-7e4b630227d3c64561c2a87f729612b2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\cfrac{\\partial f}{\\partial y} =8x^3y^3zw^2 - 6y^2w^4\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"186\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-9c473febcf510cf11a4b30fad46fb3d3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\cfrac{\\partial f}{\\partial z} = 2x^3y^4w^2 + 6x^2z\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"166\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-afc9ac6f800c06919a5bee6d6ea20a38_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\cfrac{\\partial f}{\\partial w} =4x^3y^4zw - 8y^3w^3\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"181\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u6b21\u306b\u3001\u95a2\u6570\u306e 2 \u6b21\u504f\u5c0e\u95a2\u6570\u3092\u89e3\u304d\u307e\u3059\u3002 <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-55333bf53a5934f849b6eea4d5a4f64c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\cfrac{\\partial^2 f}{\\partial x^2} =12xy^4zw^2 + 6z^2\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"174\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ecd6fb72d35cb8c8b09e14dd2337bdfd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\cfrac{\\partial^2 f}{\\partial x \\partial y}=\\cfrac{\\partial^2 f}{\\partial y \\partial x}=24x^2y^3zw^2\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"211\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-02885e698f3ae93bbf9515970de030ff_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\cfrac{\\partial^2 f}{\\partial x \\partial z}=\\cfrac{\\partial^2 f}{\\partial z \\partial x}=6x^2y^4w^2 + 12xz\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"252\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-0a43e7868272e5f9981fd6961c4d2078_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\cfrac{\\partial^2 f}{\\partial x \\partial w} = \\cfrac{\\partial^2 f}{\\partial w \\partial x}=12x^2y^4zw\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"212\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-fd1617aa3759b2cab9621b821d06f42d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\cfrac{\\partial^2 f}{\\partial y^2} =24x^3y^2zw^2 - 12yw^4\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"204\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c019a5c8dd396e6d0ee491d1e96b0f42_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\cfrac{\\partial^2 f}{\\partial y \\partial z}=\\cfrac{\\partial^2 f}{\\partial y \\partial z}=8x^3y^3w^2\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"191\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-83dc31061c77785623e54e55f39c7bea_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\cfrac{\\partial^2 f}{\\partial y \\partial w} = \\cfrac{\\partial^2 f}{\\partial w \\partial y}=16x^3y^3zw - 24y^2w^3\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"287\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-57b2a8d35948c0ac623709a00922f2a9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\cfrac{\\partial^2 f}{\\partial^2 z} =6x^2\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"78\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-260eacc428eb6db6a9a5ad0b7c7e9649_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\cfrac{\\partial^2 f}{\\partial z \\partial w} = \\cfrac{\\partial^2 f}{\\partial w \\partial z}=4x^3y^4w\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"192\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-7d4cb2a8938dfd2d17cc68cd9260eae5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\cfrac{\\partial^2 f}{\\partial^2 w} =4x^3y^4z - 24y^3w^2\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"184\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u3057\u305f\u304c\u3063\u3066\u3001\u3059\u3079\u3066\u306e\u504f\u5c0e\u95a2\u6570\u3092\u89e3\u304f\u3053\u3068\u306b\u3088\u3063\u3066\u5f97\u3089\u308c\u308b 4\u00d74 \u30d8\u30c3\u30bb\u884c\u5217\u306e\u5f0f\u306f\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002 <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/exemple-de-toile-de-jute-ou-matrice-de-toile-de-jute-de-dimension-44.webp\" alt=\"\u9ebb\u5e03\u307e\u305f\u306f\u5bf8\u6cd5 4x4 \u306e\u9ebb\u5e03\u30de\u30c8\u30ea\u30c3\u30af\u30b9\u3092\u6bb5\u968e\u7684\u306b\u89e3\u6c7a\u3059\u308b\u4f8b\" width=\"854\" height=\"180\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p class=\"has-text-align-left\">\u6700\u5f8c\u306b\u3001\u672a\u77e5\u6570\u3092\u305d\u308c\u305e\u308c\u306e\u70b9\u306e\u5024 (2,-1,1,-1) \u306b\u7f6e\u304d\u63db\u3048\u3066\u8a08\u7b97\u3092\u884c\u3044\u307e\u3059\u3002 <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/exercice-resolu-de-hesse-ou-matrice-hessienne-de-dimension-44.webp\" alt=\"\u30d8\u30c3\u30bb\u884c\u5217\u307e\u305f\u306f 4x4 \u6b21\u5143\u306e\u30d8\u30c3\u30bb\u884c\u5217\u3092\u6bb5\u968e\u7684\u306b\u89e3\u304f\u6f14\u7fd2\" width=\"457\" height=\"182\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<div class=\"adsb30\" style=\" margin:px; text-align:\"><\/div>\n<h2 class=\"wp-block-heading\">\u30d8\u30c3\u30bb\u884c\u5217\u304c\u6b63\u3001\u8ca0\u3001\u307e\u305f\u306f\u4e0d\u5b9a\u3067\u3042\u308b\u3053\u3068\u306f\u3069\u306e\u3088\u3046\u306b\u3057\u3066\u308f\u304b\u308a\u307e\u3059\u304b?<\/h2>\n<p>\u5f8c\u3067\u8aac\u660e\u3059\u308b\u3088\u3046\u306b\u3001\u30d8\u30c3\u30bb\u884c\u5217\u304c\u6b63\u306e\u534a\u5b9a\u5024\u3001\u6b63\u306e\u5b9a\u5024\u3001\u8ca0\u306e\u534a\u5b9a\u5024\u3001\u8ca0\u306e\u5b9a\u5024\u3001\u307e\u305f\u306f\u4e0d\u5b9a\u306e\u884c\u5217\u3067\u3042\u308b\u304b\u3069\u3046\u304b\u3092\u77e5\u308b\u3053\u3068\u306f\u975e\u5e38\u306b\u5f79\u7acb\u3061\u307e\u3059\u3002\u305d\u308c\u3067\u306f\u3001\u3069\u306e\u3088\u3046\u306b\u8abf\u3079\u3089\u308c\u308b\u304b\u3092\u898b\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n<h3 class=\"wp-block-heading\">\u56fa\u6709\u5024\uff08\u307e\u305f\u306f\u56fa\u6709\u5024\uff09\u306e\u57fa\u6e96<\/h3>\n<p>\u884c\u5217\u306e\u30bf\u30a4\u30d7\u3092\u77e5\u308b 1 \u3064\u306e\u65b9\u6cd5\u306f\u3001\u30d8\u30c3\u30bb\u884c\u5217\u306e\u56fa\u6709\u5024 (\u307e\u305f\u306f\u56fa\u6709\u5024) \u3092\u8abf\u3079\u308b\u3053\u3068\u3067\u3059\u3002<\/p>\n<ul>\n<li>\u30d8\u30c3\u30bb\u884c\u5217\u306f\u3001\u30bc\u30ed\u4ee5\u4e0a\u306e\u56fa\u6709\u5024 (\u307e\u305f\u306f\u56fa\u6709\u5024) \u3092\u6301\u3064\u5834\u5408\u3001\u6b63\u306e<span style=\"color:#1976d2;\"><strong>\u534a\u5b9a\u5024<\/strong><\/span>\u3067\u3059\u3002\u3064\u307e\u308a\u3001\u6b63\u306e\u56fa\u6709\u5024\u3068 0 \u306b\u7b49\u3057\u3044\u56fa\u6709\u5024\u304c\u5c11\u306a\u304f\u3068\u3082 1 \u3064\u3042\u308a\u307e\u3059\u3002<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-21d0afe89f5d1545ccda3d2bd0d8660a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\lambda \\geq 0\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"43\" style=\"vertical-align: -3px;\"><\/p>\n<\/p>\n<ul>\n<li>\u30d8\u30c3\u30bb\u884c\u5217\u306f\u3001\u305d\u306e\u3059\u3079\u3066\u306e\u56fa\u6709\u5024 (\u307e\u305f\u306f\u56fa\u6709\u5024) \u304c\u3082\u3063\u3071\u3089 0 (\u6b63) \u3088\u308a\u5927\u304d\u3044\u5834\u5408\u3001<span style=\"color:#1976d2;\"><strong>\u6b63\u5b9a\u884c\u5217<\/strong><\/span>\u3067\u3059\u3002<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f203da6c7fff0b1487c2084e3d90966b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\lambda > 0&#8243; title=&#8221;Rendered by QuickLaTeX.com&#8221; height=&#8221;14&#8243; width=&#8221;43&#8243; style=&#8221;vertical-align: -2px;&#8221;><\/p>\n<\/p>\n<ul>\n<li>\u30d8\u30c3\u30bb\u884c\u5217\u306f\u3001\u30bc\u30ed\u4ee5\u4e0b\u306e\u56fa\u6709\u5024 (\u307e\u305f\u306f\u56fa\u6709\u5024) \u3092\u6301\u3064\u5834\u5408\u3001\u8ca0\u306e<span style=\"color:#1976d2;\"><strong>\u534a\u5b9a\u5024<\/strong><\/span>\u3067\u3059\u3002\u3064\u307e\u308a\u3001\u8ca0\u306e\u56fa\u6709\u5024\u3068 0 \u306b\u7b49\u3057\u3044\u56fa\u6709\u5024\u304c\u5c11\u306a\u304f\u3068\u3082 1 \u3064\u3042\u308a\u307e\u3059\u3002<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-dfdf139bb553d680b38761b565dd3db8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\lambda \\leq 0\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"43\" style=\"vertical-align: -3px;\"><\/p>\n<\/p>\n<ul>\n<li>\u30d8\u30c3\u30bb\u884c\u5217\u306f\u3001\u3059\u3079\u3066\u306e\u56fa\u6709\u5024 (\u307e\u305f\u306f\u56fa\u6709\u5024) \u304c 0 (\u8ca0) \u672a\u6e80\u306e\u5834\u5408\u3001<span style=\"color:#1976d2;\"><strong>\u8ca0\u5b9a\u884c\u5217<\/strong><\/span>\u3067\u3059\u3002<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-1fdc8fd3de7c5d7643ca8e4dbfe3704d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\lambda < 0\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"43\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<ul>\n<li>\u30d8\u30c3\u30bb\u884c\u5217\u306f\u3001\u6b63\u3068\u8ca0\u306e\u56fa\u6709\u5024 (\u307e\u305f\u306f\u56fa\u6709\u5024) \u3092\u6301\u3064\u5834\u5408\u3001<span style=\"color:#1976d2;\"><strong>\u5b9a\u7fa9\u3055\u308c\u307e\u305b<\/strong><\/span>\u3093\u3002<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-fa9eea2abe5f790e65f0c5afab8c3adb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\lambda > 0 \\qquad \\lambda <0\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"121\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\">\u30b7\u30eb\u30d9\u30b9\u30bf\u30fc\u57fa\u6e96<\/h3>\n<p>\u30d8\u30c3\u30bb\u884c\u5217\u304c\u3069\u306e\u30bf\u30a4\u30d7\u3067\u3042\u308b\u304b\u3092\u77e5\u308b\u3082\u3046 1 \u3064\u306e\u65b9\u6cd5\u306f\u3001\u30b7\u30eb\u30d9\u30b9\u30bf\u30fc\u306e\u57fa\u6e96\u3092\u4f7f\u7528\u3059\u308b\u3053\u3068\u3067\u3059\u3002\u305f\u3060\u3057\u3001\u3053\u306e\u5b9a\u7406\u3067\u306f\u3001\u884c\u5217\u304c\u6b63\u5b9a\u5024\u3001\u8ca0\u5b9a\u5024\u3001\u307e\u305f\u306f\u4e0d\u5b9a\u5024\u3067\u3042\u308b\u304b\u3069\u3046\u304b\u306e\u307f\u304c\u308f\u304b\u308a\u307e\u3059\u3002\u305f\u3060\u3057\u3001\u4e00\u822c\u306b\u8a08\u7b97\u304c\u7c21\u5358\u306a\u305f\u3081\u3001\u4f7f\u7528\u3057\u305f\u65b9\u304c\u306f\u308b\u304b\u306b\u9ad8\u901f\u306b\u306a\u308b\u5834\u5408\u3082\u3042\u308a\u307e\u3059\u3002 <\/p>\n<div class=\"adsb30\" style=\" margin:12px; text-align:center\">\n<div id=\"ezoic-pub-ad-placeholder-118\"><\/div>\n<\/div>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001<strong>\u30b7\u30eb\u30d9\u30b9\u30bf\u30fc\u57fa\u6e96<\/strong>\u306f\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<ul>\n<li>\u30d8\u30c3\u30bb\u884c\u5217\u306e\u3059\u3079\u3066\u306e\u4e3b\u526f\u884c\u5217\u304c 0 \u3088\u308a\u5927\u304d\u3044\u5834\u5408\u3001\u305d\u306e\u884c\u5217\u306f<span style=\"color:#1976d2;\"><strong>\u6b63\u5b9a<\/strong><\/span>\u884c\u5217\u3067\u3059\u3002<\/li>\n<\/ul>\n<ul>\n<li>\u5076\u6570\u306e\u30a4\u30f3\u30c7\u30c3\u30af\u30b9\u3092\u6301\u3064\u30d8\u30c3\u30bb\u884c\u5217\u306e\u4e3b\u30de\u30a4\u30ca\u30fc\u304c 0 \u3088\u308a\u5927\u304d\u304f\u3001\u5947\u6570\u306e\u30a4\u30f3\u30c7\u30c3\u30af\u30b9\u3092\u6301\u3064\u4e3b\u30de\u30a4\u30ca\u30fc\u304c 0 \u672a\u6e80\u306e\u5834\u5408\u3001\u305d\u308c\u306f<span style=\"color:#1976d2;\"><strong>\u8ca0\u5b9a<\/strong><\/span>\u884c\u5217\u3067\u3059\u3002<\/li>\n<\/ul>\n<ul>\n<li>\u30d8\u30c3\u30bb\u884c\u5217\u306e\u3059\u3079\u3066\u306e\u4e3b\u526f\u884c\u5217\u304c 0 \u4ee5\u5916\u3067\u3001\u524d\u306e 2 \u3064\u306e\u6761\u4ef6\u306e\u3069\u3061\u3089\u3082\u6e80\u305f\u3055\u308c\u306a\u3044\u5834\u5408\u3001\u305d\u306e\u884c\u5217\u306f<span style=\"color:#1976d2;\"><strong>\u4e0d\u5b9a<\/strong><\/span>\u884c\u5217\u306b\u306a\u308a\u307e\u3059\u3002 <\/li>\n<\/ul>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/majeurs-mineurs-d-une-matrice.webp\" alt=\"\u30d8\u30c3\u30bb\u884c\u5217\u306e\u4e3b\u30de\u30a4\u30ca\u30fc\" class=\"wp-image-2583\" width=\"417\" height=\"361\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p>\u660e\u3089\u304b\u306b\u3001\u30d8\u30c3\u30bb\u884c\u5217\u306e\u6700\u5927\u4e3b\u77ed\u95a2\u6570\u306f\u5e38\u306b\u884c\u5217\u5f0f\u3068\u4e00\u81f4\u3057\u307e\u3059\u3002\u60c5\u5831\u63d0\u4f9b\u306e\u307f\u3092\u76ee\u7684\u3068\u3057\u3066\u3001\u30d8\u30c3\u30bb\u884c\u5217\u306e\u884c\u5217\u5f0f\u306f\u300c\u30d8\u30c3\u30bb\u884c\u5217\u300d\u3068\u3082\u547c\u3070\u308c\u307e\u3059\u304c\u3001\u3053\u3053\u3067\u306f\u6df7\u4e71\u3092\u907f\u3051\u308b\u305f\u3081\u306b\u305d\u3046\u3057\u307e\u305b\u3093\u3002<\/p>\n<h2 class=\"wp-block-heading\">\u30d8\u30c3\u30bb\u884c\u5217\u3092\u4f7f\u7528\u3057\u3066\u95a2\u6570\u306e\u6700\u5927\u5024\u307e\u305f\u306f\u6700\u5c0f\u5024\u3092\u8a08\u7b97\u3059\u308b\u65b9\u6cd5<\/h2>\n<p>\u30d8\u30c3\u30bb\u884c\u5217\u306e\u8a08\u7b97\u65b9\u6cd5\u3092\u7406\u89e3\u3059\u308b\u3068\u3001\u304a\u305d\u3089\u304f\u3053\u306e\u884c\u5217\u306f\u4f55\u306b\u4f7f\u7528\u3055\u308c\u308b\u306e\u304b\u7591\u554f\u306b\u601d\u3046\u3067\u3057\u3087\u3046\u3002<\/p>\n<p>\u30d8\u30c3\u30bb\u884c\u5217\u306e\u5fdc\u7528\u306e 1 \u3064\u306f\u3001\u8907\u6570\u306e\u5909\u6570\u3092\u6301\u3064\u95a2\u6570\u306e\u6700\u5927\u5024\u307e\u305f\u306f\u6700\u5c0f\u5024\u3092\u898b\u3064\u3051\u308b\u3053\u3068\u3067\u3059\u3002\u3053\u3053\u3067\u306f\u3001\u6700\u5927\u5024\u3068\u6700\u5c0f\u5024\u3092\u8a08\u7b97\u3059\u308b\u65b9\u6cd5\u3092\u6bb5\u968e\u7684\u306b\u8aac\u660e\u3057\u307e\u3059\u3002<\/p>\n<ol style=\"color:#1976d2; font-weight: bold;>\n<li><span style=\" color:#262626;font-weight:=\"\" normal;\"=\"\">\n<li style=\"margin-bottom:18px\"><span style=\"color:#262626;font-weight: normal;\">\u307e\u305a\u3001\u591a\u5909\u6570\u95a2\u6570\u306e<strong>\u81e8\u754c\u70b9<\/strong>\u304c\u8a08\u7b97\u3055\u308c\u307e\u3059\u3002\u3053\u308c\u3092\u884c\u3046\u306b\u306f\u3001\u95a2\u6570\u306e\u52fe\u914d\u307e\u305f\u306f<a href=\"https:\/\/mathority.org\/ja\/\u30e4\u30b3\u30d2\u3099\u30a2\u30f3\u884c\u5217\u30e4\u30b3\u30d2\u3099\u30a2\u30f3\/\">\u30e4\u30b3\u30d3\u884c\u5217<\/a>\u3092\u8a08\u7b97\u3057\u3001\u305d\u308c\u3092 0 \u306b\u8a2d\u5b9a\u3057\u3066\u65b9\u7a0b\u5f0f\u3092\u89e3\u304d\u307e\u3059\u3002<\/span><\/li>\n<li style=\"margin-bottom:18px\"><span style=\"color:#262626;font-weight: normal;\">\u30d8\u30c3\u30bb\u884c\u5217\u304c\u8a08\u7b97\u3055\u308c\u307e\u3059\u3002<\/span><\/li>\n<li style=\"margin-bottom:18px\"><span style=\"color:#262626;font-weight: normal;\">\u30b9\u30c6\u30c3\u30d7 1 \u3067\u898b\u3064\u304b\u3063\u305f\u81e8\u754c\u70b9\u304c\u30d8\u30c3\u30bb\u884c\u5217\u306b\u4ee3\u5165\u3055\u308c\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u95a2\u6570\u3092\u6301\u3064\u81e8\u754c\u70b9\u3068\u540c\u3058\u6570\u306e\u30d8\u30c3\u30bb\u884c\u5217\u3092\u53d6\u5f97\u3057\u307e\u3059\u3002<\/span><\/li>\n<li style=\"margin-bottom:18px\"><span style=\"color:#262626;font-weight: normal;\">\u5404\u30d8\u30c3\u30bb\u884c\u5217\u304c\u3069\u306e\u3088\u3046\u306a\u30bf\u30a4\u30d7\u306e\u884c\u5217\u3067\u3042\u308b\u304b\u3092\u898b\u3066\u3044\u304d\u307e\u3059\u3002\u3064\u307e\u308a\u3001\u6b63\u5b9a\u5024\u3001\u8ca0\u5b9a\u5024\u3001\u4e0d\u5b9a\u5024\u306a\u3069\u3067\u3042\u308b\u304b\u3069\u3046\u304b\u3092\u78ba\u8a8d\u3057\u307e\u3059\u3002<\/span>\n<ul>\n<li style=\"margin-left:30px; margin-bottom:10px; margin-top:10px\"><span style=\"color:#262626;font-weight: normal;\">\u30d8\u30c3\u30bb\u884c\u5217\u304c\u6b63\u5b9a\u5024\u306e\u5834\u5408\u3001\u81e8\u754c\u70b9\u306f\u95a2\u6570\u306e<span style=\"color:#1976d2;\"><strong>\u76f8\u5bfe\u6700\u5c0f\u5024<\/strong><\/span>\u306b\u306a\u308a\u307e\u3059\u3002<\/span><\/li>\n<li style=\"margin-left:30px; margin-bottom:10px\"><span style=\"color:#262626;font-weight: normal;\">\u30d8\u30c3\u30bb\u884c\u5217\u304c\u8ca0\u5b9a\u5024\u306e\u5834\u5408\u3001\u81e8\u754c\u70b9\u306f\u95a2\u6570\u306e<span style=\"color:#1976d2;\"><strong>\u76f8\u5bfe\u6700\u5927\u5024<\/strong><\/span>\u306b\u306a\u308a\u307e\u3059\u3002<\/span><\/li>\n<li style=\"margin-left:30px;\"><span style=\"color:#262626;font-weight: normal;\">\u30d8\u30c3\u30bb\u884c\u5217\u304c\u5b9a\u7fa9\u3055\u308c\u3066\u3044\u306a\u3044\u5834\u5408\u3001\u81e8\u754c\u70b9\u306f<span style=\"color:#1976d2;\"><strong>\u978d\u70b9<\/strong><\/span>\u306b\u306a\u308a\u307e\u3059\u3002<\/span><\/li>\n<\/ul>\n<\/li>\n<\/ol>\n<h3 class=\"wp-block-heading\">\u591a\u5909\u6570\u95a2\u6570\u306e\u6700\u5927\u5024\u3068\u6700\u5c0f\u5024\u3092\u8a08\u7b97\u3059\u308b\u4f8b<\/h3>\n<p>\u3053\u308c\u304c\u3069\u306e\u3088\u3046\u306b\u884c\u308f\u308c\u308b\u304b\u3092\u78ba\u8a8d\u3059\u308b\u305f\u3081\u306b\u3001\u30d8\u30c3\u30bb\u884c\u5217\u3092\u4f7f\u7528\u3057\u3066\u95a2\u6570\u306e\u76f8\u5bfe\u6975\u5024\u3092\u8a08\u7b97\u304a\u3088\u3073\u5206\u985e\u3059\u308b\u4f8b\u3092\u6b21\u306b\u793a\u3057\u307e\u3059\u3002<\/p>\n<ul>\n<li>\u6b21\u306e\u591a\u5909\u6570\u95a2\u6570\u306e\u76f8\u5bfe\u6975\u5024\u3092\u3059\u3079\u3066\u6c42\u3081\u307e\u3059\u3002<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f422cf8ac57ec69b69af091986d534da_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  f(x,y)=x^2-y^2+2xy+ 4x-4y\" title=\"Rendered by QuickLaTeX.com\" height=\"21\" width=\"262\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u6700\u521d\u306b\u884c\u3046\u5fc5\u8981\u304c\u3042\u308b\u306e\u306f\u3001\u95a2\u6570\u306e\u30e4\u30b3\u30d3\u884c\u5217\u3092\u8a08\u7b97\u3059\u308b\u3053\u3068\u3067\u3059\u3002\u3053\u306e\u5834\u5408\u3001\u3053\u308c\u306f\u30b9\u30ab\u30e9\u30fc\u95a2\u6570\u3067\u3042\u308b\u305f\u3081\u3001\u52fe\u914d\u3068\u4e00\u81f4\u3057\u307e\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b583925d8f0f0a93afa22c409ae00aa8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\nabla f (x,y)=(2x+2y+4 \\ , \\ -2y+2x-4 )\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"315\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u3053\u3053\u3067\u81e8\u754c\u70b9\u3092\u6c7a\u5b9a\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u3053\u308c\u3092\u884c\u3046\u305f\u3081\u306b\u3001\u5f97\u3089\u308c\u305f\u65b9\u7a0b\u5f0f\u3092 0 \u306b\u7b49\u5316\u3057\u3001\u9023\u7acb\u65b9\u7a0b\u5f0f\u3092\u89e3\u304d\u307e\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-0b72f879adb6df18c19610c21eba3887_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\nabla f (x,y)=0\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"99\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d851eb626a9bd385aec8f68c9df71a39_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\left. \\begin{array}{l} 2x+2y+4 =0 \\\\[2ex] -2y+2x-4=0 \\end{array}\\right\\} \\longrightarrow \\left. \\begin{array}{c} x = 0 \\\\[1.1ex] y = -2 \\end{array}\\right\\} \\longrightarrow \\ (0,-2)\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"383\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u79c1\u305f\u3061\u304c\u898b\u3064\u3051\u305f\u81e8\u754c\u70b9\u306f (0,-2) \u3067\u3059\u3002<\/p>\n<p>\u95a2\u6570\u306e\u81e8\u754c\u70b9\u304c\u898b\u3064\u304b\u3063\u305f\u3089\u3001\u30d8\u30c3\u30bb\u884c\u5217\u3092\u8a08\u7b97\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-702fa5f5c3e3d872e1ec0dad0e3216c7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle H_f (x,y)=\\begin{pmatrix}2 &amp; 2 \\\\[1.1ex] 2 &amp; -2  \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"160\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u305d\u3057\u3066\u660e\u3089\u304b\u306b\u3001\u81e8\u754c\u70b9\u3067\u8a55\u4fa1\u3055\u308c\u308b\u30d8\u30c3\u30bb\u884c\u5217\u306f\u540c\u3058\u3067\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-7b56ffff28d1a9b98c9848891ae924eb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle H_f (0,-2)=\\begin{pmatrix}2 &amp; 2 \\\\[1.1ex] 2 &amp; -2 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"172\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u305d\u308c\u304c\u3069\u306e\u30bf\u30a4\u30d7\u306e\u884c\u5217\u3067\u3042\u308b\u304b\u3092\u78ba\u8a8d\u3059\u308b\u305f\u3081\u306b\u3001\u30b7\u30eb\u30d9\u30b9\u30bf\u30fc\u57fa\u6e96\u3092\u4f7f\u7528\u3057\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u884c\u5217\u306e\u4e3b\u306a\u30de\u30a4\u30ca\u30fc\u3092\u89e3\u304d\u307e\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-226cf6a18d27a9da300823c13158d56a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{vmatrix}2 \\end{vmatrix} = 2\" title=\"Rendered by QuickLaTeX.com\" height=\"23\" width=\"50\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d66efe9fca481475009bb1703939e4f6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{vmatrix}2 &amp; 2 \\\\[1.1ex] 2 &amp; -2 \\end{vmatrix} = -8\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"104\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u4e3b\u77ed\u8abf 1 (\u5947\u6570) \u306f\u6b63\u3001\u4e3b\u77ed\u8abf 2 (\u5076\u6570) \u306f\u8ca0\u3067\u3042\u308b\u305f\u3081\u3001\u30b7\u30eb\u30d9\u30b9\u30bf\u30fc\u306e\u57fa\u6e96\u306b\u3088\u308c\u3070\u3001\u3053\u308c\u306f<strong>\u4e0d\u5b9a\u884c\u5217\u306b\u306a\u308a\u307e\u3059\u3002<\/strong>\u3057\u305f\u304c\u3063\u3066\u3001\u81e8\u754c\u70b9 (0,-2) \u306f<strong>\u978d\u70b9\u3067\u3059\u3002<\/strong> <\/p>\n<div class=\"adsb30\" style=\" margin:12px; text-align:center\">\n<div id=\"ezoic-pub-ad-placeholder-119\"><\/div>\n<\/div>\n<h2 class=\"wp-block-heading\">\u30d8\u30c3\u30bb\u884c\u5217\u3092\u4f7f\u7528\u3057\u305f\u95a2\u6570\u306e\u51f9\u6027\u307e\u305f\u306f\u51f8\u6027\u306e\u6c7a\u5b9a<\/h2>\n<p>\u30d8\u30c3\u30bb\u884c\u5217\u306e\u3082\u3046 1 \u3064\u306e\u7528\u9014\u306f\u3001\u95a2\u6570\u304c\u51f9\u304b\u51f8\u304b\u3092\u77e5\u308b\u3053\u3068\u3067\u3059\u3002\u305d\u3057\u3066\u3001\u3053\u308c\u306f\u6b21\u306e\u5b9a\u7406\u306b\u5f93\u3063\u3066\u6c7a\u5b9a\u3067\u304d\u307e\u3059\u3002<\/p>\n<p>\u306a\u308c<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e87f01194fba5ba72beb64431139ece0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A \\subseteq \\mathbb{R}^n\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"58\" style=\"vertical-align: -3px;\"><\/p>\n<p>\u30aa\u30fc\u30d7\u30f3\u30bb\u30c3\u30c8\u3068<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-4fa98607bbf0ec2af91778a78a134c97_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f \\colon A \\to \\mathbb{R}\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"77\" style=\"vertical-align: -4px;\"><\/p>\n<p>\u4e8c\u6b21\u5c0e\u95a2\u6570\u304c\u9023\u7d9a\u3067\u3042\u308b\u95a2\u6570\u3002\u305d\u306e\u51f9\u9762\u3068\u51f8\u9762\u306f\u30d8\u30c3\u30bb\u884c\u5217\u306b\u3088\u3063\u3066\u5b9a\u7fa9\u3055\u308c\u307e\u3059\u3002<\/p>\n<ul style=\"color:#1976d2; font-weight: bold;\">\n<li style=\"margin-bottom:18px\"><span style=\"color:#262626;font-weight: normal;\">\u95a2\u6570\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-9c09a708375fde2676da319bcdfe8b24_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"10\" style=\"vertical-align: -4px;\"><\/p>\n<p><\/span>\u5168\u4f53\u7684\u306b<span style=\"color:#1976d2;\"><strong>\u51f8\u72b6<\/strong><\/span>\u306b\u306a\u3063\u3066\u3044\u308b<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-25b206f25506e6d6f46be832f7119ffa_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"13\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u305d\u306e\u30d8\u30c3\u30bb\u884c\u5217\u304c\u30bb\u30c3\u30c8\u306e\u3059\u3079\u3066\u306e\u70b9\u3067\u6b63\u306e\u534a\u5b9a\u5024\u3067\u3042\u308b\u5834\u5408\u306b\u9650\u308a\u307e\u3059\u3002<\/li>\n<li><span style=\"color:#262626;font-weight: normal;\">\u95a2\u6570\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-9c09a708375fde2676da319bcdfe8b24_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"10\" style=\"vertical-align: -4px;\"><\/p>\n<p><\/span>\u5168\u4f53\u7684\u306b<span style=\"color:#1976d2;\"><strong>\u53b3\u5bc6\u306b\u51f8\u72b6<\/strong><\/span>\u3067\u3042\u308b<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-25b206f25506e6d6f46be832f7119ffa_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"13\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u305d\u306e\u30d8\u30c3\u30bb\u884c\u5217\u304c\u30bb\u30c3\u30c8\u306e\u3059\u3079\u3066\u306e\u70b9\u3067\u6b63\u5b9a\u5024\u3067\u3042\u308b\u5834\u5408\u306b\u9650\u308a\u307e\u3059\u3002<\/li>\n<\/ul>\n<p> <strong><span style=\"color:#1976d2;\">\u2713<\/span><\/strong>\u3057\u305f\u304c\u3063\u3066\u3001\u3082\u3057<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-9c09a708375fde2676da319bcdfe8b24_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"10\" style=\"vertical-align: -4px;\"><\/p>\n<p>\u306f\u30e4\u30b3\u30d3\u884c\u5217\u3082\u6d88\u6ec5\u3059\u308b\u70b9\u306b\u304a\u3051\u308b\u51f8\u95a2\u6570\u3067\u3042\u308a\u3001\u3053\u306e\u70b9\u306f<strong>\u5c40\u6240\u6700\u5c0f\u5024<\/strong>\u3067\u3059\u3002<\/p>\n<ul style=\"color:#1976d2; font-weight: bold;\">\n<li style=\"margin-bottom:18px\"><span style=\"color:#262626;font-weight: normal;\">\u95a2\u6570\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-9c09a708375fde2676da319bcdfe8b24_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"10\" style=\"vertical-align: -4px;\"><\/p>\n<p><\/span>\u5168\u4f53\u7684\u306b<span style=\"color:#1976d2;\"><strong>\u51f9\u3093<\/strong><\/span>\u3067\u3044\u308b<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-25b206f25506e6d6f46be832f7119ffa_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"13\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u305d\u306e\u30d8\u30c3\u30bb\u884c\u5217\u304c\u30bb\u30c3\u30c8\u306e\u3059\u3079\u3066\u306e\u70b9\u3067\u8ca0\u306e\u534a\u5b9a\u5024\u3067\u3042\u308b\u5834\u5408\u306b\u9650\u308a\u307e\u3059\u3002<\/li>\n<li><span style=\"color:#262626;font-weight: normal;\">\u95a2\u6570\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-9c09a708375fde2676da319bcdfe8b24_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"10\" style=\"vertical-align: -4px;\"><\/p>\n<p><\/span>\u5168\u4f53\u7684\u306b<span style=\"color:#1976d2;\"><strong>\u53b3\u5bc6\u306b\u51f9\u3093\u3067<\/strong><\/span>\u3044\u307e\u3059<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-25b206f25506e6d6f46be832f7119ffa_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"13\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u305d\u306e\u30d8\u30c3\u30bb\u884c\u5217\u304c\u30bb\u30c3\u30c8\u306e\u3059\u3079\u3066\u306e\u70b9\u3067\u8ca0\u5b9a\u5024\u3067\u3042\u308b\u5834\u5408\u306b\u9650\u308a\u307e\u3059\u3002<\/li>\n<\/ul>\n<p> <strong><span style=\"color:#1976d2;\">\u2713<\/span><\/strong>\u3057\u305f\u304c\u3063\u3066\u3001\u3082\u3057<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-9c09a708375fde2676da319bcdfe8b24_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"10\" style=\"vertical-align: -4px;\"><\/p>\n<p>\u306f\u30e4\u30b3\u30d3\u884c\u5217\u3082\u6d88\u6ec5\u3059\u308b\u70b9\u3067\u51f9\u578b\u306e\u95a2\u6570\u3067\u3042\u308a\u3001\u3053\u306e\u70b9\u306f<strong>\u6975\u5927\u5024<\/strong>\u3067\u3059\u3002<\/p>\n<p>\u4ee5\u4e0b\u306b\u30013 \u6b21\u5143\u7a7a\u9593\u3067\u8868\u73fe\u3055\u308c\u305f\u51f8\u95a2\u6570\u3068\u51f9\u95a2\u6570\u306e\u4f8b\u3092\u793a\u3057\u307e\u3059\u3002 <\/p>\n<div class=\"wp-block-columns is-layout-flex wp-container-7\">\n<div class=\"wp-block-column is-layout-flow\">\n<p class=\"has-text-align-center has-text-color has-medium-font-size\" style=\"color:#1976d2\">\u51f8\u95a2\u6570<\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/convexite-et-concavite-d-une-fonction-avec-la-matrice-hessienne.webp\" alt=\"\u30d8\u30c3\u30bb\u884c\u5217\u3092\u4f7f\u7528\u3057\u3066\u51f8\u95a2\u6570\u307e\u305f\u306f\u51f9\u95a2\u6570\u3092\u6c7a\u5b9a\u3057\u307e\u3059\" width=\"411\" height=\"308\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<\/div>\n<div class=\"wp-block-column is-layout-flow\">\n<p class=\"has-text-align-center has-text-color has-medium-font-size\" style=\"color:#1976d2\"><strong>\u51f9\u95a2\u6570<\/strong><\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/concavite-et-convexite-d-une-fonction-avec-la-matrice-hessienne.webp\" alt=\"\u753b\u50cf\u306b\u306f\u7a7a\u306e ALT \u5c5e\u6027\u304c\u3042\u308a\u307e\u3059\u3002\u30d5\u30a1\u30a4\u30eb\u540d\u306f\u3001concavity-and-convexity-of-a-function-with-the-hessian-matrix-1024x768.jpg \u3067\u3059\u3002\" width=\"411\" height=\"307\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<\/div>\n<\/div>\n<h2 class=\"wp-block-heading\">\u30d8\u30c3\u30bb\u884c\u5217\u306e\u305d\u306e\u4ed6\u306e\u5fdc\u7528<\/h2>\n<p>\u30d8\u30c3\u30bb\u884c\u5217\u306e\u4e3b\u306a\u7528\u9014\u306f\u3059\u3067\u306b\u898b\u305f\u3082\u306e\u3067\u3059\u304c\u3001\u4ed6\u306e\u7528\u9014\u3082\u3042\u308a\u307e\u3059\u3002\u6700\u3082\u8208\u5473\u306e\u3042\u308b\u65b9\u306e\u305f\u3081\u306b\u3001\u4ee5\u4e0b\u3067\u8aac\u660e\u3057\u307e\u3059\u3002<\/p>\n<h3 class=\"wp-block-heading\">\u30c6\u30a4\u30e9\u30fc\u591a\u9805\u5f0f<\/h3>\n<p>\u70b9\u306b\u304a\u3051\u308b 2 \u3064\u4ee5\u4e0a\u306e\u5909\u6570\u306e\u95a2\u6570\u306b\u5bfe\u3059\u308b<strong>\u30c6\u30a4\u30e9\u30fc\u591a\u9805\u5f0f<\/strong>\u306e\u5c55\u958b<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5c53d6ebabdbcfa4e107550ea60b1b19_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"9\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u6b21\u306e\u3088\u3046\u306b\u59cb\u307e\u308a\u307e\u3059:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-813a551888f2fe0d61201e11c9cf83da_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  T(x) = f(a) + (x-a)^T \\nabla f(a) + \\frac{1}{2}(x-a)^T \\operatorname{H}_f(a)(x-a) + \\ldots\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"475\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p>\u3054\u89a7\u306e\u3068\u304a\u308a\u3001\u30c6\u30a4\u30e9\u30fc\u5c55\u958b\u306e 2 \u6b21\u9805\u306f\u3001\u591a\u9805\u5f0f\u306e\u5c55\u958b\u70b9\u3067\u8a55\u4fa1\u3055\u308c\u305f\u30d8\u30c3\u30bb\u884c\u5217\u306b\u3088\u3063\u3066\u4e0e\u3048\u3089\u308c\u307e\u3059\u3002<\/p>\n<h3 class=\"wp-block-heading\">\u30dc\u30fc\u30c0\u30fc\u4ed8\u304d\u9ec4\u9ebb\u5e03\u30de\u30c8\u30ea\u30c3\u30af\u30b9<\/h3>\n<p>\u30d8\u30c3\u30bb\u884c\u5217\u306e\u3082\u3046 1 \u3064\u306e\u7528\u9014\u306f\u3001\u591a\u5909\u91cf\u95a2\u6570\u306e\u6700\u5c0f\u5024\u3068\u6700\u5927\u5024\u3092\u8a08\u7b97\u3059\u308b\u3053\u3068\u3067\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d9f627258270ef54673906bdea5bc47c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x,y)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"51\" style=\"vertical-align: -5px;\"><\/p>\n<p>\u5225\u306e\u5f79\u5272\u306b\u5236\u9650\u3055\u308c\u308b<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-629bf228b3d2b0003d598c1591ec6000_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"g(x,y)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"49\" style=\"vertical-align: -5px;\"><\/p>\n<p>\u3002\u3053\u306e\u554f\u984c\u3092\u89e3\u6c7a\u3059\u308b\u306b\u306f\u3001<strong>\u6709\u754c\u30d8\u30c3\u30bb\u884c\u5217<\/strong>\u3092\u4f7f\u7528\u3057\u3001\u6b21\u306e\u624b\u9806\u306b\u5f93\u3044\u307e\u3059\u3002<\/p>\n<p><strong>\u30b9\u30c6\u30c3\u30d7 1:<\/strong>\u30e9\u30b0\u30e9\u30f3\u30b8\u30e5\u95a2\u6570\u304c\u8a08\u7b97\u3055\u308c\u307e\u3059\u3002\u3053\u308c\u306f\u6b21\u306e\u5f0f\u3067\u5b9a\u7fa9\u3055\u308c\u307e\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-7253e3e437e00468c7dc9b5e4546991a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle L(x,y,\\lambda) = f(x,y)+ \\lambda \\cdot g(x,y)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"241\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p><strong>\u30b9\u30c6\u30c3\u30d7 2:<\/strong>\u30e9\u30b0\u30e9\u30f3\u30b8\u30e5\u95a2\u6570\u306e\u81e8\u754c\u70b9\u3092\u898b\u3064\u3051\u307e\u3059\u3002\u3053\u308c\u3092\u884c\u3046\u306b\u306f\u3001\u30e9\u30b0\u30e9\u30f3\u30b8\u30e5\u95a2\u6570\u306e\u52fe\u914d\u3092\u8a08\u7b97\u3057\u3001\u65b9\u7a0b\u5f0f\u3092 0 \u306b\u8a2d\u5b9a\u3057\u3066\u65b9\u7a0b\u5f0f\u3092\u89e3\u304d\u307e\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-372152b499747854f2da5a2c8c211ce4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\nabla L = 0\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"59\" style=\"vertical-align: -1px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6d76d99126f67279a1302a805e2b12e2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\cfrac{\\partial L}{\\partial x} = 0 \\qquad \\cfrac{\\partial L}{\\partial y}=0 \\qquad \\cfrac{\\partial L}{\\partial \\lambda}=0\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"240\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p><strong>\u30b9\u30c6\u30c3\u30d7 3:<\/strong>\u898b\u3064\u304b\u3063\u305f\u5404\u70b9\u306b\u3064\u3044\u3066\u3001\u6b21\u306e\u884c\u5217\u3067\u5b9a\u7fa9\u3055\u308c\u308b\u6709\u754c\u30d8\u30c3\u30bb\u884c\u5217\u3092\u8a08\u7b97\u3057\u307e\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3d1b2b04de9559a521e6704151c27bc4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle H(f,g) = \\begin{pmatrix}0 &amp; \\cfrac{\\partial g}{\\partial x_1} &amp; \\cfrac{\\partial g}{\\partial x_2} &amp; \\cdots &amp; \\cfrac{\\partial g}{\\partial x_n} \\\\[4ex] \\cfrac{\\partial g}{\\partial x_1} &amp; \\cfrac{\\partial^2 f}{\\partial x_1^2} &amp; \\cfrac{\\partial^2 f}{\\partial x_1\\,\\partial x_2} &amp; \\cdots &amp; \\cfrac{\\partial^2 f}{\\partial x_1\\,\\partial x_n} \\\\[4ex] \\cfrac{\\partial g}{\\partial x_2} &amp; \\cfrac{\\partial^2 f}{\\partial x_2\\,\\partial x_1} &amp; \\cfrac{\\partial^2 f}{\\partial x_2^2} &amp; \\cdots &amp; \\cfrac{\\partial^2 f}{\\partial x_2\\,\\partial x_n} \\\\[3ex] \\vdots &amp; \\vdots &amp; \\vdots &amp; \\ddots &amp; \\vdots \\\\[3ex] \\cfrac{\\partial g}{\\partial x_n} &amp; \\cfrac{\\partial^2 f}{\\partial x_n\\,\\partial x_1} &amp; \\cfrac{\\partial^2 f}{\\partial x_n\\,\\partial x_2} &amp; \\cdots &amp; \\cfrac{\\partial^2 f}{\\partial x_n^2}\\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"289\" width=\"415\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p><strong>\u30b9\u30c6\u30c3\u30d7 4:<\/strong>\u5404\u81e8\u754c\u70b9\u306b\u3064\u3044\u3066\u3001\u305d\u308c\u304c\u6700\u5927\u5024\u3067\u3042\u308b\u304b\u6700\u5c0f\u5024\u3067\u3042\u308b\u304b\u3092\u5224\u65ad\u3057\u307e\u3059\u3002<\/p>\n<ul>\n<li>\u3053\u308c\u306f\u95a2\u6570\u306e\u6975\u5927\u5024\u306b\u306a\u308a\u307e\u3059\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-9c09a708375fde2676da319bcdfe8b24_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"10\" style=\"vertical-align: -4px;\"><\/p>\n<p>\u95a2\u6570\u5236\u7d04\u306e\u4e0b\u3067<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d208fd391fa57c168dc0f151de829fee_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"g\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: -4px;\"><\/p>\n<p>\u81e8\u754c\u70b9\u3067\u8a55\u4fa1\u3055\u308c\u305f\u5883\u754c\u4ed8\u304d\u30d8\u30c3\u30bb\u884c\u5217\u306e\u6700\u5f8c\u306e<em>nm<\/em> ( <em>n<\/em>\u306f\u5909\u6570\u306e\u6570\u3001 <em>m \u306f<\/em>\u5236\u7d04\u306e\u6570) \u306e\u4e3b\u30de\u30a4\u30ca\u30fc\u306e\u5834\u5408\u3001\u8ca0\u306e\u7b26\u53f7\u3067\u59cb\u307e\u308b\u4ea4\u4e92\u306e\u7b26\u53f7\u304c\u4ed8\u304d\u307e\u3059\u3002<\/li>\n<\/ul>\n<ul>\n<li>\u3053\u308c\u306f\u95a2\u6570\u306e\u6975\u5c0f\u5024\u306b\u306a\u308a\u307e\u3059\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-9c09a708375fde2676da319bcdfe8b24_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"10\" style=\"vertical-align: -4px;\"><\/p>\n<p>\u95a2\u6570\u5236\u7d04\u306e\u4e0b\u3067<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d208fd391fa57c168dc0f151de829fee_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"g\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: -4px;\"><\/p>\n<p>\u6700\u5f8c\u306e<em>nm<\/em> ( <em>n<\/em>\u306f\u5909\u6570\u306e\u6570\u3001 <em>m \u306f<\/em>\u5236\u7d04\u306e\u6570) \u306e\u5834\u5408\u3001\u81e8\u754c\u70b9\u3067\u8a55\u4fa1\u3055\u308c\u305f\u30b7\u30e3\u30fc\u30d7 \u30d8\u30c3\u30bb\u884c\u5217\u306e\u4e3b\u30de\u30a4\u30ca\u30fc\u306f\u3059\u3079\u3066\u8ca0\u306e\u7b26\u53f7\u3092\u6301\u3061\u307e\u3059\u3002<\/li>\n<\/ul>\n<p>\u3042\u308b\u5236\u7d04\u4ed8\u304d\u95a2\u6570\u306e\u5225\u306e\u95a2\u6570\u306b\u5bfe\u3059\u308b\u76f8\u5bfe\u7684\u306a\u6700\u5c0f\u5024\u307e\u305f\u306f\u6700\u5927\u5024\u306f\u3001\u5236\u9650\u3055\u308c\u3066\u3044\u306a\u3044\u95a2\u6570\u306b\u3064\u3044\u3066\u3082\u5fc5\u305a\u3057\u3082\u305d\u3046\u3067\u3042\u308b\u5fc5\u8981\u306f\u306a\u3044\u3053\u3068\u306b\u7559\u610f\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u5883\u754c\u4ed8\u304d\u30d8\u30c3\u30bb\u884c\u5217\u306f\u3001\u3053\u306e\u30bf\u30a4\u30d7\u306e\u554f\u984c\u306b\u306e\u307f\u5f79\u7acb\u3061\u307e\u3059\u3002<\/p>\n<div class=\"adsb30\" style=\" margin:px; text-align:\"><\/div>\n<h3 class=\"wp-block-heading\">\u4ed6\u306e\u696d\u52d9\u3068\u306e\u95a2\u4fc2<\/h3>\n<p>\u6700\u5f8c\u306b\u3001\u30d8\u30c3\u30bb\u884c\u5217\u306f\u3001\u4e3b\u306b\u30e4\u30b3\u30d3\u884c\u5217\u3084\u30e9\u30d7\u30e9\u30b9\u6f14\u7b97\u5b50\u306a\u3069\u3001\u4ed6\u306e\u91cd\u8981\u306a\u6f14\u7b97\u3084\u884c\u5217\u306b\u3082\u30ea\u30f3\u30af\u3055\u308c\u3066\u3044\u307e\u3059\u3002<\/p>\n<h4 class=\"wp-block-heading\">\u30e4\u30b3\u30d3\u30a2\u30f3\u884c\u5217\u3068\u306e\u95a2\u4fc2<\/h4>\n<p>\u95a2\u6570\u306e\u30d8\u30c3\u30bb\u884c\u5217<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-9c09a708375fde2676da319bcdfe8b24_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"10\" style=\"vertical-align: -4px;\"><\/p>\n<p>\u306f\u3001\u540c\u3058\u95a2\u6570\u306e\u52fe\u914d\u306e<strong>\u30e4\u30b3\u30d3\u884c\u5217<\/strong>\u3067\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-96ab1054f3c447eedac17f9ce04b4606_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle H_f = J(\\nabla f)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"97\" style=\"vertical-align: -6px;\"><\/p>\n<\/p>\n<h4 class=\"wp-block-heading\">\u30e9\u30d7\u30e9\u30b9\u6f14\u7b97\u5b50<\/h4>\n<p>\u30d8\u30c3\u30bb\u884c\u5217\u30c8\u30ec\u30fc\u30b9\u306f\u3001<strong>\u30e9\u30d7\u30e9\u30b9\u6f14\u7b97\u5b50<\/strong>\u3068\u540c\u7b49\u3067\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-77f16c5285ca6a9ac5899d6e832e9a40_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle tr( H_f) = \\Delta f\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"101\" style=\"vertical-align: -6px;\"><\/p>\n<\/p>\n<p>\u30e9\u30d7\u30e9\u30b9\u6f14\u7b97\u5b50\u306e\u5b9a\u7fa9\u306f\u95a2\u6570\u306e\u52fe\u914d\u306e\u767a\u6563\u3067\u3042\u308b\u305f\u3081\u3001\u3053\u306e\u7b49\u4fa1\u6027\u306f\u7c21\u5358\u306b\u8a3c\u660e\u3067\u304d\u307e\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5a3e06f41c5bd51c969601d46507a9c7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\Delta f =\\nabla \\cdot (\\nabla f) = (\\nabla \\cdot \\nabla )f = \\nabla^2 f\" title=\"Rendered by QuickLaTeX.com\" height=\"21\" width=\"262\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u305d\u306e\u5f0f\u306f\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c7e1ec07ef9178ea4dd56d9cae72d275_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\Delta f = \\cfrac{\\partial ^2 f}{\\partial^2 x_1} +\\cfrac{\\partial ^2 f}{\\partial^2 x_2} + \\cfrac{\\partial ^2 f}{\\partial^2 x_3}+ \\ldots +\\cfrac{\\partial ^2 f}{\\partial^2 x_n}\" title=\"Rendered by QuickLaTeX.com\" height=\"44\" width=\"310\" style=\"vertical-align: -15px;\"><\/p>\n<\/p>\n<p>\u305d\u3057\u3066\u3001\u3053\u306e\u5408\u8a08\u306f\u30d8\u30c3\u30bb\u884c\u5217\u306e\u75d5\u8de1\u306b\u3059\u304e\u306a\u3044\u305f\u3081\u3001\u7b49\u4fa1\u6027\u304c\u8a3c\u660e\u3055\u308c\u307e\u3059\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u3053\u306e\u30da\u30fc\u30b8\u306f\u3001\u5b58\u5728\u3059\u308b\u30d8\u30c3\u30bb\u884c\u5217\u306e\u6700\u3082\u5b8c\u5168\u306a\u8aac\u660e\u3067\u3042\u308b\u3053\u3068\u306f\u9593\u9055\u3044\u3042\u308a\u307e\u305b\u3093\u3002\u3053\u3053\u3067\u306f\u3001\u30d8\u30c3\u30bb\u884c\u5217\u306e\u6982\u5ff5\u3068\u305d\u306e\u8a08\u7b97\u65b9\u6cd5\u3092\u4f8b\u3068\u3068\u3082\u306b\u8aac\u660e\u3057\u3001\u5b9f\u8df5\u3059\u308b\u305f\u3081\u306e\u89e3\u6c7a\u3055\u308c\u305f\u6f14\u7fd2\u3082\u3044\u304f\u3064\u304b\u3042\u308a\u307e\u3059\u3002\u3055\u3089\u306b\u3001\u591a\u5909\u6570\u95a2\u6570\u306e\u6700\u5927\u5024\u3068\u6700\u5c0f\u5024 &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/ja\/%e3%83%98%e3%82%b7%e3%82%a2%e3%83%b3%e8%a1%8c%e5%88%97-%e3%83%98%e3%82%b7%e3%82%a2%e3%83%b3-2x2-3x3\/\"> <span class=\"screen-reader-text\">\u30d8\u30c3\u30bb\u884c\u5217 (\u307e\u305f\u306f\u30d8\u30c3\u30bb\u884c\u5217)<\/span> \u3082\u3063\u3068\u8aad\u3080 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