{"id":83457,"date":"2024-09-03T14:50:12","date_gmt":"2024-09-03T14:50:12","guid":{"rendered":"https:\/\/science-hub.click\/%E6%AD%A3%E3%81%AE%E8%A1%8C%E5%88%97-%E5%AE%9A%E7%BE%A9\/"},"modified":"2024-09-03T14:50:12","modified_gmt":"2024-09-03T14:50:12","slug":"%E6%AD%A3%E3%81%AE%E8%A1%8C%E5%88%97-%E5%AE%9A%E7%BE%A9","status":"publish","type":"post","link":"https:\/\/science-hub.click\/?p=83457","title":{"rendered":"\u6b63\u306e\u884c\u5217 &#8211; \u5b9a\u7fa9"},"content":{"rendered":"<div><div><h2>\u5c0e\u5165<\/h2><p>\u7dda\u5f62\u4ee3\u6570\u3067\u306f\u3001<b>\u6b63\u306e\u884c\u5217<\/b>\u306e\u6982\u5ff5\u306f\u3001\u6b63\u307e\u305f\u306f\u30bc\u30ed\u306e\u5b9f\u6570\u306e\u6982\u5ff5\u306b\u4f3c\u3066\u3044\u307e\u3059\u3002<\/p><p>\u6b63\u5b9a\u884c\u5217\u306f\u53ef\u9006\u6b63\u884c\u5217\u3067\u3059\u3002<\/p><figure class=\"wp-block-image size-large is-style-default\">\n<img decoding=\"async\" alt=\"\u6b63\u306e\u884c\u5217 - \u5b9a\u7fa9\" class=\"aligncenter\" onerror=\"this.style.display=none;\" src=\"https:\/\/img.youtube.com\/vi\/FbAKS6OY0k0\/0.jpg\" style=\"width:100%;\"\/><\/figure><h2>\u6b63\u306e\u5b9f\u5bfe\u79f0\u884c\u5217<\/h2><p><span><i>M \u3092<\/i><\/span>\u6b21\u6570<i>n<\/i>\u306e\u5b9f<span><a href=\"https:\/\/science-hub.click\/?p=106695\">\u5bfe\u79f0\u884c\u5217<\/a><\/span>\u3068\u3059\u308b\u3002\u6b21\u306e 2 \u3064\u306e\u540c\u7b49\u306e\u7279\u6027\u306e\u3044\u305a\u308c\u304b\u3092\u6e80\u305f\u3057\u3066\u3044\u308b\u5834\u5408\u3001\u305d\u308c\u306f\u6b63\u3067\u3042\u308b\u3068\u8a00\u308f\u308c\u307e\u3059\u3002<\/p><table cellpadding=\"4\" cellspacing=\"0\"><tr><td valign=\"top\"> <b>1.<\/b><\/td><td>\u305d\u308c\u304c\u8868\u3059\u5bfe\u79f0<span><a href=\"https:\/\/science-hub.click\/?p=33504\">\u53cc\u4e00\u6b21\u5f62\u5f0f\u306f<\/a><\/span>\u6b63\u3067\u3059\u3002\u3064\u307e\u308a\u3001\u4efb\u610f\u306e\u5217\u884c\u5217\u306b\u5bfe\u3057\u3066\u3067\u3059\u3002 <div class=\"math-formual notranslate\">$$ {\\ \\textbf{x}} $$<\/div> <span><i>n \u500b<\/i><\/span>\u306e\u5b9f\u6570\u8981\u7d20\u3092\u4f7f\u7528\u3059\u308b\u3068\u3001 <dl><dd><div class=\"math-formual notranslate\">$$ {\\textbf{x}^{T} M\\, \\textbf{x} \\geq 0} $$<\/div> \u3002<\/dd><\/dl><\/td><\/tr><tr><td valign=\"top\"> <b>2.<\/b><\/td><td> <span><i>M<\/i><\/span>\u306e\u56fa\u6709\u5024 (\u81ea\u52d5\u7684\u306b\u5b9f\u6570\u306b\u306a\u308a\u307e\u3059) \u306f\u6b63\u307e\u305f\u306f\u30bc\u30ed\u3067\u3059\u3002\u3064\u307e\u308a\u3001\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002 <dl><dd><div class=\"math-formual notranslate\">$$ {\\ \\mathrm{sp}(M)  \\subset\\, [0,\\, +\\infty[\\,} $$<\/div> \u3002<\/dd><\/dl><\/td><\/tr><\/table><h3><span>\u4f8b<\/span><\/h3><ul><li><i>f \u3092\u3001<\/i>\u5b9a\u7fa9\u3055\u308c\u305f<i>n \u500b<\/i>\u306e\u5b9f\u5909\u6570\u3068\u30af\u30e9\u30b9 C <sup>2<\/sup>\u306e<span>\u5b9f\u95a2\u6570<\/span>\u3068\u3057\u307e\u3059\u3002 <div class=\"math-formual notranslate\">$$ {\\mathbb{R}^n} $$<\/div> \u3002 <i>f \u304c<\/i>\u6975\u5c0f\u5024\u306b\u9054\u3059\u308b\u4efb\u610f\u306e\u70b9\u3067\u3001\u305d\u306e\u30d8\u30c3\u30bb\u884c\u5217\u306f\u6b63\u306b\u306a\u308a\u307e\u3059 (\u6975\u5c0f\u70b9\u306e\u6b21\u6570 2 \u306e\u5fc5\u8981\u6761\u4ef6)\u3002<\/li><li>\u30e9\u30f3\u30c0\u30e0\u306a<span><a href=\"https:\/\/science-hub.click\/?p=66129\">\u30d9\u30af\u30c8\u30eb<\/a><\/span>\u304c\u4e0e\u3048\u3089\u308c\u305f\u5834\u5408<div class=\"math-formual notranslate\">$$ {(T_1,\\dots, T_n)} $$<\/div>\u306e\u5024\u3092\u6301\u3064<div class=\"math-formual notranslate\">$$ {\\mathbb{R}^n} $$<\/div>\u5404\u6210\u5206\u304c\u5206\u6563\u3092\u8a31\u5bb9\u3059\u308b\u5834\u5408\u3001\u305d\u306e\u5171\u5206\u6563\u884c\u5217\u3092\u5b9a\u7fa9\u3057\u307e\u3059\u3002 <\/li><\/ul><dl><dd><div class=\"math-formual notranslate\">$$ {\\Gamma = \\Big(\\mathrm{cov}(T_i, T_j) \\Big) \\in \\mathcal{S}_n(\\mathbb{R})} $$<\/div><\/dd><\/dl><dl><dd>\u3053\u308c\u306f\u30dd\u30b8\u30c6\u30a3\u30d6\u306a\u3053\u3068\u3067\u3059\u3002\u5b9f\u969b\u3001\u3069\u306e\u5217\u884c\u5217\u3067\u3082<div class=\"math-formual notranslate\">$$ {\\ \\textbf{x}} $$<\/div> <span><i>n \u500b<\/i><\/span>\u306e\u5b9f\u6570\u8981\u7d20\u304c\u8a18\u8f09\u3055\u308c\u3066\u3044\u308b<div class=\"math-formual notranslate\">$$ {x_1,\\dots, x_n} $$<\/div> : <\/dd><dd><div class=\"math-formual notranslate\">$$ {\\textbf{x}^{T} \\Gamma\\, \\textbf{x} = \\mathrm{Var}(x_1\\, T_1 +\\cdots + x_n\\, T_n) \\geq 0} $$<\/div><\/dd><\/dl><dl><dd>\u6b21\u306e\u552f\u4e00\u306e<span><a href=\"https:\/\/science-hub.click\/?p=104419\">\u7dda\u5f62\u7d50\u5408<\/a><\/span>\u306e\u5834\u5408\u306b\u9650\u308a\u3001\u6b63\u5b9a\u5024\u3067\u3059\u3002 <div class=\"math-formual notranslate\">$$ {T_1,\\dots, T_n} $$<\/div>\u78ba\u304b\u306a\u306e\u306f\u3001\u4fc2\u6570\u304c\u3059\u3079\u3066\u30bc\u30ed\u3067\u3042\u308b\u3082\u306e\u3067\u3059\u3002<\/dd><\/dl><figure class=\"wp-block-image size-large is-style-default\">\n<img decoding=\"async\" alt=\"\u6b63\u306e\u884c\u5217 - \u5b9a\u7fa9\" class=\"aligncenter\" onerror=\"this.style.display=none;\" src=\"https:\/\/img.youtube.com\/vi\/LI6eDi8v6Kc\/0.jpg\" style=\"width:100%;\"\/><\/figure><h3><span>\u30d7\u30ed\u30d1\u30c6\u30a3<\/span><\/h3><ul><li>\u5b9f\u6570\u884c\u5217<span><i>A<\/i><\/span>\u306e\u5834\u5408\u3001\u884c\u5217<span><i>A<\/i> <sup><i>T\u3002<\/i><\/sup> <i>A \u306f<\/i><\/span>\u6b63\u306e\u5bfe\u79f0\u884c\u5217\u3067\u3059\u3002\u3055\u3089\u306b\u3001 <span><i>A \u304c<\/i><\/span>\u53ef\u9006\u6b63\u65b9\u884c\u5217\u306e\u5834\u5408\u3001 <span><i>A<\/i> <sup><i>T<\/i><\/sup> \u3002 <i>A \u306f<\/i><\/span>\u6b63\u5b9a\u5024\u3067\u3059\u3002<\/li><li>\u3059\u3079\u3066\u306e\u6b63\u5bfe\u79f0\u5b9f\u884c\u5217\u306b\u306f\u3001\u4e00\u610f\u306e\u6b63\u5bfe\u79f0\u5b9f<span><a href=\"https:\/\/science-hub.click\/?p=93175\">\u5e73\u65b9\u6839<\/a><\/span>\u304c\u8a8d\u3081\u3089\u308c\u307e\u3059\u3002\u3088\u308a\u6b63\u5f0f\u306b\u306f: <\/li><\/ul><dl><dd><div class=\"math-formual notranslate\">$$ { \\forall S\\in S_n^+(\\R),\\ \\exist\u00a0! T\\in S_n^+(\\R),\\ T^2=S} $$<\/div> \u3002<\/dd><\/dl><p>\u3053\u306e\u7d50\u679c\u306f<i>n<\/i>\u4e57\u6839\u306b\u4e00\u822c\u5316\u3055\u308c\u307e\u3059\u3002<\/p><h2>\u6b63\u306e\u30a8\u30eb\u30df\u30fc\u30c8\u884c\u5217<\/h2><p>\u524d\u8ff0\u306e\u30d7\u30ed\u30d1\u30c6\u30a3\u3068\u5b9a\u7fa9\u3092\u8907\u96d1\u306a\u30a8\u30eb\u30df\u30fc\u30c8\u884c\u5217\u306b\u62e1\u5f35\u3057\u307e\u3059\u3002<\/p><p> <span><i>M \u3092<\/i><\/span>\u6b21\u6570<i>n<\/i>\u306e\u30a8\u30eb\u30df\u30fc\u30c8\u884c\u5217\u3068\u3057\u307e\u3057\u3087\u3046\u3002\u6b21\u306e 2 \u3064\u306e\u540c\u7b49\u306e\u7279\u6027\u306e\u3044\u305a\u308c\u304b\u3092\u6e80\u305f\u3057\u3066\u3044\u308b\u5834\u5408\u3001\u305d\u308c\u306f\u6b63\u3067\u3042\u308b\u3068\u8a00\u308f\u308c\u307e\u3059\u3002<\/p><table cellpadding=\"4\" cellspacing=\"0\"><tr><td valign=\"top\"> <b>1.<\/b><\/td><td>\u4efb\u610f\u306e\u5217\u884c\u5217\u306b\u5bfe\u3057\u3066<div class=\"math-formual notranslate\">$$ {\\ \\textbf{z}} $$<\/div> <span><i>n \u500b<\/i><\/span>\u306e\u8907\u7d20\u8981\u7d20\u3092\u4f7f\u7528\u3059\u308b\u3068\u3001\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002 <dl><dd><div class=\"math-formual notranslate\">$$ {\\textbf{z}^{*} M \\textbf{z} \\geq 0} $$<\/div> \uff08\u307e\u305f\u306f<div class=\"math-formual notranslate\">$$ {\\textbf{z}^{*}} $$<\/div>\u306f\u3001\u6b21\u306e\u5171\u5f79\u884c\u5217\u3092\u8868\u3057\u307e\u3059\u3002 <div class=\"math-formual notranslate\">$$ {\\ \\textbf{z}} $$<\/div> \uff09\u3002<\/dd><\/dl><\/td><\/tr><tr><td valign=\"top\"> <b>2.<\/b><\/td><td> <span><i>M<\/i><\/span>\u306e\u3059\u3079\u3066\u306e\u56fa\u6709\u5024\u306f\u6b63\u307e\u305f\u306f\u30bc\u30ed\u3067\u3059\u3002\u3064\u307e\u308a\u3001\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002 <dl><dd><div class=\"math-formual notranslate\">$$ {\\ \\mathrm{sp}(M)  \\subset\\, [0,\\, +\\infty[\\,} $$<\/div> \u3002<\/dd><\/dl><\/td><\/tr><\/table><\/div><figure class=\"wp-block-image size-large is-style-default\">\n<img decoding=\"async\" alt=\"\u6b63\u306e\u884c\u5217 - \u5b9a\u7fa9\" class=\"aligncenter\" onerror=\"this.style.display=none;\" src=\"https:\/\/img.youtube.com\/vi\/_TGC3rnWxDc\/0.jpg\" style=\"width:100%;\"\/><\/figure><h2 class=\"ref_link\">\u53c2\u8003\u8cc7\u6599<\/h2><ol><li><a class=\"notranslate\" href=\"https:\/\/ceb.wikipedia.org\/wiki\/Matrice\">Matrice \u2013 cebuano<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/cs.wikipedia.org\/wiki\/Matrice\">Matrice \u2013 tch\u00e8que<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/da.wikipedia.org\/wiki\/Matrice\">Matrice \u2013 danois<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/en.wikipedia.org\/wiki\/Matrice_(disambiguation)\">Matrice (disambiguation) \u2013 anglais<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/it.wikipedia.org\/wiki\/Matrice_(disambigua)\">Matrice (disambigua) \u2013 italien<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/ro.wikipedia.org\/wiki\/Matrice_(dezambiguizare)\">Matrice (dezambiguizare) \u2013 roumain<\/a><\/li><\/ol><\/div>\n<div class=\"feature-video\">\n <h2>\n  \u6b63\u306e\u884c\u5217 &#8211; \u5b9a\u7fa9\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=\"\u3064\u307e\u305a\u304d\u304c\u3061\u306a\u884c\u5217\u5f0f\u306e\u5b9a\u7fa9\u306e\u898b\u65b9\u3092\u4e01\u5be7\u306b\u89e3\u8aac\u3057\u307e\u3059\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/4DF91kU1or4?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>\u5c0e\u5165 \u7dda\u5f62\u4ee3\u6570\u3067\u306f\u3001\u6b63\u306e\u884c\u5217\u306e\u6982\u5ff5\u306f\u3001\u6b63\u307e\u305f\u306f\u30bc\u30ed\u306e\u5b9f\u6570\u306e\u6982\u5ff5\u306b\u4f3c\u3066\u3044\u307e\u3059\u3002 \u6b63\u5b9a\u884c\u5217\u306f\u53ef\u9006\u6b63\u884c\u5217\u3067\u3059\u3002 \u6b63\u306e\u5b9f\u5bfe\u79f0\u884c\u5217 M \u3092\u6b21\u6570n\u306e\u5b9f\u5bfe\u79f0\u884c\u5217\u3068\u3059\u308b\u3002\u6b21\u306e 2 \u3064\u306e\u540c\u7b49\u306e\u7279\u6027\u306e\u3044\u305a\u308c\u304b\u3092\u6e80\u305f\u3057\u3066\u3044\u308b\u5834\u5408\u3001\u305d\u308c\u306f\u6b63\u3067\u3042 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":83458,"comment_status":"","ping_status":"","sticky":false,"template":"","format":"standard","meta":{"fifu_image_url":"https:\/\/img.youtube.com\/vi\/4DF91kU1or4\/0.jpg","fifu_image_alt":"\u6b63\u306e\u884c\u5217 - \u5b9a\u7fa9","footnotes":""},"categories":[5],"tags":[75103,11,13,10,14,16363,2057,12,8,16,15,9],"class_list":["post-83457","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-dictionary","tag-acrobat","tag-techniques","tag-technologie","tag-actualite","tag-news","tag-positive","tag-matrice","tag-dossier","tag-definition","tag-sciences","tag-article","tag-explications"],"_links":{"self":[{"href":"https:\/\/science-hub.click\/index.php?rest_route=\/wp\/v2\/posts\/83457"}],"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=83457"}],"version-history":[{"count":0,"href":"https:\/\/science-hub.click\/index.php?rest_route=\/wp\/v2\/posts\/83457\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/science-hub.click\/index.php?rest_route=\/wp\/v2\/media\/83458"}],"wp:attachment":[{"href":"https:\/\/science-hub.click\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=83457"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/science-hub.click\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=83457"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/science-hub.click\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=83457"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}