{"id":19636,"date":"2023-11-01T19:10:36","date_gmt":"2023-11-01T19:10:36","guid":{"rendered":"https:\/\/science-hub.click\/%E3%82%AB%E3%83%B3%E3%83%88%E3%83%BC%E3%83%AB%E3%81%AE%E5%AE%9A%E7%90%86-%E5%AE%9A%E7%BE%A9\/"},"modified":"2023-11-01T19:10:36","modified_gmt":"2023-11-01T19:10:36","slug":"%E3%82%AB%E3%83%B3%E3%83%88%E3%83%BC%E3%83%AB%E3%81%AE%E5%AE%9A%E7%90%86-%E5%AE%9A%E7%BE%A9","status":"publish","type":"post","link":"https:\/\/science-hub.click\/?p=19636","title":{"rendered":"\u30ab\u30f3\u30c8\u30fc\u30eb\u306e\u5b9a\u7406 &#8211; \u5b9a\u7fa9"},"content":{"rendered":"<div><div><p><strong>\u30ab\u30f3\u30c8\u30fc\u30eb\u306e\u5b9a\u7406\u306f<\/strong>\u3001\u96c6\u5408\u8ad6\u306e\u5206\u91ce\u306b\u304a\u3051\u308b\u6570\u5b66\u306e\u5b9a\u7406\u3067\u3042\u308a\u3001\u305d\u306e\u540d\u524d\u306f\u6570\u5b66\u8005\u30b2\u30aa\u30eb\u30af \u30ab\u30f3\u30c8\u30fc\u30eb\u306b\u7531\u6765\u3057\u307e\u3059\u3002<\/p><p>\u30ab\u30f3\u30c8\u30fc\u30eb\u306f\u3001\u4efb\u610f\u306e\u96c6\u5408<i>E<\/i>\u306b\u3064\u3044\u3066\u3001 <i>E<\/i>\u306e\u57fa\u6570\u306f\u5e38\u306b \u306e\u57fa\u6570\u3088\u308a\u3082<i>\u53b3\u5bc6\u306b\u5c0f\u3055\u3044\u3053\u3068<\/i>\u3092\u8a3c\u660e\u3057\u307e\u3059\u3002 <div class=\"math-formual notranslate\">$$ {\\mathfrak P(E)} $$<\/div> <i>E<\/i>\u306e\u30d1\u30fc\u30c4\u306e\u30bb\u30c3\u30c8\u3067\u3059\u3002<\/p><p> <i>E<\/i>\u304c<span><a href=\"https:\/\/science-hub.click\/?p=35770\">\u6709\u9650\u96c6\u5408<\/a><\/span>\u306e\u5834\u5408\u3001 <i>E<\/i>\u306e\u57fa\u6570\u306f<i>E<\/i>\u306e\u8981\u7d20\u306e<span><a href=\"https:\/\/science-hub.click\/?p=71097\">\u6570<\/a><\/span>\u3067\u3042\u308a\u3001 <i>E<\/i>\u306b<i>n<\/i>\u8981\u7d20\u304c\u542b\u307e\u308c\u308b\u5834\u5408\u3001 <i>E<\/i>\u306e\u90e8\u5206\u306e\u96c6\u5408\u306b\u306f<span>2 <sup><i>n<\/i><\/sup><\/span>\u500b\u306e\u8981\u7d20\u304c\u542b\u307e\u308c\u308b\u3053\u3068\u304c\u793a\u3055\u308c\u308b\u305f\u3081\u3001\u7d50\u679c\u306f\u660e\u3089\u304b\u3067\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001<span><a href=\"https:\/\/science-hub.click\/?p=95765\">\u4efb\u610f\u306e<\/a><\/span>\u6574\u6570<i>n<\/i>\u306b\u3064\u3044\u3066\u3001 <span><i>n<\/i> &lt; 2 <sup><i>n \u3067<\/i><\/sup><\/span>\u3042\u308b\u3053\u3068\u3092\u7c21\u5358\u306b\u691c\u8a3c\u3067\u304d\u307e\u3059\u3002<\/p><p> <i>E<\/i>\u304c<span><a href=\"https:\/\/science-hub.click\/?p=22554\">\u7121\u9650\u96c6\u5408<\/a><\/span>\u306e\u5834\u5408\u3001\u57fa\u6570\u306e\u6bd4\u8f03\u304b\u3089\u3084\u308a\u76f4\u3059\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002 <\/p><dl><dd><div class=\"math-formual notranslate\">$$ {\\mathrm{card} (A) \\leq \\mathrm{card}(B)} $$<\/div> A \u304b\u3089 B \u3078\u306e\u6ce8\u5165\u304c\u5b58\u5728\u3059\u308b\u5834\u5408\u306b\u9650\u308a\u307e\u3059\u3002<\/dd><\/dl><p>\u30ab\u30f3\u30c8\u30fc\u30eb\u306f\u6b21\u306e\u3053\u3068\u3092\u5b9f\u8a3c\u3057\u3066\u3044\u307e\u3059<div class=\"math-formual notranslate\">$$ {\\mathrm{card}(E) &lt; \\mathrm{card} (\\mathfrak P(E))} $$<\/div>\u3070\u304b\u3052\u305f\u63a8\u8ad6\u306b\u3088\u308b\uff1a\u5f7c\u306f\u6b21\u306e\u3088\u3046\u306b\u8003\u3048\u3066\u3044\u308b<div class=\"math-formual notranslate\">$$ {\\mathrm{card}(E) \\geq \\mathrm{card} (\\mathfrak P(E))} $$<\/div> \u3001\u3064\u307e\u308a\u3001 <div class=\"math-formual notranslate\">$$ {\\mathfrak P(E)} $$<\/div> <i>E<\/i>\u306b\u5411\u304b\u3046\u3068<span><a href=\"https:\/\/science-hub.click\/?p=67369\">\u77db\u76fe<\/a><\/span>\u306b\u884c\u304d\u7740\u304f\u3002<\/p><dl><dd>\u3053\u306e\u6ce8\u5165\u3092<i>f \u3068<\/i>\u547c\u3073\u307e\u3059\u3002\u6b21\u306b\u3001\u6b21\u306e\u65b9\u6cd5\u3067<i>E<\/i>\u306e<span><a href=\"https:\/\/science-hub.click\/?p=106649\">\u30b5\u30d6\u30bb\u30c3\u30c8<\/a><\/span><i>B \u3092<\/i>\u69cb\u7bc9\u3057\u307e\u3059\u3002<dl><dd> <i>x \u3092<\/i><i>E<\/i>\u306e\u8981\u7d20\u3068\u3059\u308b\u3001<ul><li> <i>x \u306b<\/i><i>f<\/i>\u306b\u3088\u308b\u5148\u884c\u8a5e\u304c\u306a\u3044\u5834\u5408\u3001 <i>x \u306f<\/i><i>B<\/i>\u306b\u3042\u308a\u307e\u305b\u3093<\/li><li><i>x \u306b<\/i><i>f<\/i>\u306b\u3088\u308b\u5148\u884c\u8a5e\u304c\u3042\u308b\u5834\u5408\u3001 <i>f \u306f<\/i>\u5358\u5c04\u306a\u306e\u3067\u4e00\u610f\u3067\u3059\u3002\u3053\u306e\u524d\u4ef6<span><i>A<\/i> <sub><i>x<\/i><\/sub><\/span>\u306b\u6ce8\u76ee\u3057\u307e\u3059\u3002 <i>x \u304c<\/i><span><i>A<\/i> <sub><i>x<\/i><\/sub><\/span>\u306b\u5c5e\u3057\u3066\u3044\u308b\u5834\u5408\u3001 <i>x \u306f<\/i>B \u306b\u3042\u308a\u307e\u305b\u3093\u3002x<i>\u304c<\/i><span><i>A<\/i> <sub><i>x<\/i><\/sub><\/span>\u306b\u5c5e\u3057\u3066\u3044\u306a\u3044\u5834\u5408\u3001 <i>x \u306f<\/i><i>B<\/i>\u306b\u3042\u308a\u307e\u3059\u3002<\/li><\/ul><\/dd><\/dl><\/dd><dd> <i>B \u306f<\/i><i>E<\/i>\u306e\u4e00\u90e8\u3067\u3042\u308b\u305f\u3081\u3001 <i>f<\/i>\u306b\u3088\u308b\u30a4\u30e1\u30fc\u30b8\u3092\u6301\u3061\u3001\u3053\u308c\u3092<i>y \u3068<\/i>\u547c\u3073\u307e\u3059\u3002\u305d\u3053\u3067\u751f\u3058\u308b\u7591\u554f\u306f\u3001\u300c <i>B<\/i>\u306e\u8981\u7d20\u306f\u5b58\u5728\u3059\u308b<i>\u306e<\/i>\u304b\u3001\u5b58\u5728\u3057\u306a\u3044\u306e\u304b\u300d\u3068\u3044\u3046\u3053\u3068\u3067\u3059\u3002\u524d\u4f8b<i>B<\/i>\u304c<i>\u3042\u308a\u307e\u3059<\/i>\u3002<dl><dd> <i>y<\/i>\u304c<i>B<\/i>\u306b\u3042\u308b\u5834\u5408\u3001 <i>B<\/i>\u306e\u69cb\u7bc9\u306b\u3088\u308a\u3001 <i>y \u306f<\/i>\u305d\u306e\u5148\u884c\u8a5e\u306b\u5c5e\u3055\u306a\u3044\u305f\u3081\u3001 <i>y \u306f<\/i>&#8230; B \u306b\u5c5e\u3057\u307e\u305b\u3093\u3002<\/dd><dd> <i>y<\/i>\u304c<i>B<\/i>\u306b\u306a\u3044\u5834\u5408\u3067\u3082\u3001 <i>B<\/i>\u306e\u69cb\u9020\u306b\u3088\u308c\u3070\u3001 <i>y \u306f<\/i>\u305d\u306e\u5148\u884c\u8a5e\u306b\u5c5e\u3057\u3066\u3044\u308b\u5fc5\u8981\u304c\u3042\u308b\u305f\u3081\u3001 <i>y \u306f<\/i>&#8230; B \u306b\u5c5e\u3057\u307e\u3059\u3002<\/dd><\/dl><\/dd><dd> 2 \u3064\u306e\u4eee\u8aac\u306f\u77db\u76fe\u3092\u5f15\u304d\u8d77\u3053\u3059\u305f\u3081\u3001 <div class=\"math-formual notranslate\">$$ {\\mathfrak P(E)} $$<\/div> <i>E<\/i>\u306b\u5411\u304b\u3063\u3066<\/dd><\/dl><p>\u3053\u306e\u30bf\u30a4\u30d7\u306e\u63a8\u8ad6\u306f\u3001<span><a href=\"https:\/\/science-hub.click\/?p=28728\">\u5bfe\u89d2\u8ad6\u6cd5<\/a><\/span>\u3068\u547c\u3070\u308c\u3001\u30e9\u30c3\u30bb\u30eb (\u304a\u3088\u3073\u30b6\u30fc\u30e1\u30ed) \u306b\u3088\u3063\u3066\u3001\u4e92\u3044\u306b\u5c5e\u3055\u306a\u3044\u96c6\u5408\u306e\u96c6\u5408\u306e<span><a href=\"https:\/\/science-hub.click\/?p=45702\">\u30d1\u30e9\u30c9\u30c3\u30af\u30b9<\/a><\/span>\u306b\u4f7f\u7528\u3055\u308c\u307e\u3057\u305f\u3002<\/p><\/div><h2 class=\"ref_link\">\u53c2\u8003\u8cc7\u6599<\/h2><ol><li><a class=\"notranslate\" href=\"https:\/\/ar.wikipedia.org\/wiki\/%D9%85%D8%A8%D8%B1%D9%87%D9%86%D8%A9_%D9%83%D8%A7%D9%86%D8%AA%D9%88%D8%B1\">\u0645\u0628\u0631\u0647\u0646\u0629 \u0643\u0627\u0646\u062a\u0648\u0631 \u2013 arabe<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/ast.wikipedia.org\/wiki\/Teorema_de_Cantor\">Teorema de Cantor \u2013 asturien<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/ca.wikipedia.org\/wiki\/Teorema_de_Cantor\">Teorema de Cantor \u2013 catalan<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/cs.wikipedia.org\/wiki\/Cantorova_v%C4%9Bta\">Cantorova v\u011bta \u2013 tch\u00e8que<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/de.wikipedia.org\/wiki\/Satz_von_Cantor\">Satz von Cantor \u2013 allemand<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/el.wikipedia.org\/wiki\/%CE%98%CE%B5%CF%8E%CF%81%CE%B7%CE%BC%CE%B1_%CF%84%CE%BF%CF%85_%CE%9A%CE%B1%CE%BD%CF%84%CF%8C%CF%81\">\u0398\u03b5\u03ce\u03c1\u03b7\u03bc\u03b1 \u03c4\u03bf\u03c5 \u039a\u03b1\u03bd\u03c4\u03cc\u03c1 \u2013 grec<\/a><\/li><\/ol><\/div>\n<div class=\"feature-video\">\n <h2>\n  \u30ab\u30f3\u30c8\u30fc\u30eb\u306e\u5b9a\u7406 &#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=\"\u30ab\u30f3\u30c8\u30fc\u30eb\u3068\u96c6\u5408\u306e\u5f79\u5272\uff11\u30fc\u7fa4\u8ad6\u3068\u30c8\u30db\u309a\u30ed\u30b7\u3099\u30fc\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/DyMBX4W32H0?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>\u30ab\u30f3\u30c8\u30fc\u30eb\u306e\u5b9a\u7406\u306f\u3001\u96c6\u5408\u8ad6\u306e\u5206\u91ce\u306b\u304a\u3051\u308b\u6570\u5b66\u306e\u5b9a\u7406\u3067\u3042\u308a\u3001\u305d\u306e\u540d\u524d\u306f\u6570\u5b66\u8005\u30b2\u30aa\u30eb\u30af \u30ab\u30f3\u30c8\u30fc\u30eb\u306b\u7531\u6765\u3057\u307e\u3059\u3002 \u30ab\u30f3\u30c8\u30fc\u30eb\u306f\u3001\u4efb\u610f\u306e\u96c6\u5408E\u306b\u3064\u3044\u3066\u3001 E\u306e\u57fa\u6570\u306f\u5e38\u306b \u306e\u57fa\u6570\u3088\u308a\u3082\u53b3\u5bc6\u306b\u5c0f\u3055\u3044\u3053\u3068\u3092\u8a3c\u660e\u3057\u307e\u3059\u3002 $$ {\\m [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":19637,"comment_status":"","ping_status":"","sticky":false,"template":"","format":"standard","meta":{"fifu_image_url":"https:\/\/img.youtube.com\/vi\/K0HxDK5lZxc\/0.jpg","fifu_image_alt":"\u30ab\u30f3\u30c8\u30fc\u30eb\u306e\u5b9a\u7406 - \u5b9a\u7fa9","footnotes":""},"categories":[5],"tags":[21414,3133,11,13,10,14,12,570,16,15],"class_list":["post-19636","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-dictionary","tag-theoreme-de-cantor","tag-cantor","tag-techniques","tag-technologie","tag-actualite","tag-news","tag-dossier","tag-theoreme","tag-sciences","tag-article"],"_links":{"self":[{"href":"https:\/\/science-hub.click\/index.php?rest_route=\/wp\/v2\/posts\/19636"}],"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=19636"}],"version-history":[{"count":0,"href":"https:\/\/science-hub.click\/index.php?rest_route=\/wp\/v2\/posts\/19636\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/science-hub.click\/index.php?rest_route=\/wp\/v2\/media\/19637"}],"wp:attachment":[{"href":"https:\/\/science-hub.click\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=19636"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/science-hub.click\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=19636"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/science-hub.click\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=19636"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}