{"id":830,"date":"2020-06-01T11:00:35","date_gmt":"2020-06-01T02:00:35","guid":{"rendered":"https:\/\/develop-chronos.com\/statistics-top\/statistics\/?p=830"},"modified":"2020-06-30T21:12:49","modified_gmt":"2020-06-30T12:12:49","slug":"de-morgans-law","status":"publish","type":"post","link":"https:\/\/develop-chronos.com\/statistics-top\/statistics\/de-morgans-law","title":{"rendered":"\u30c9\u30fb\u30e2\u30eb\u30ac\u30f3\u306e\u6cd5\u5247\u3010\u610f\u5473\u3068\u8a3c\u660e\u3092\u89e3\u8aac\u3011"},"content":{"rendered":"\n<p class=\"has-text-align-right\"><span style=\"text-decoration: underline;\">\u5b66\u7fd2\u30ec\u30d9\u30eb\uff1a\u9ad8\u6821\u751f\u3000\u96e3\u6613\u5ea6\uff1a\u2605\u2606\u2606\u2606\u2606<\/span><\/p>\n\n\n\n\n\n\n\n<p>\u4e8b\u8c61\u306e\u6f14\u7b97\u3092\u524d\u56de\u306e\u8a18\u4e8b\u3067\u6271\u3044\u307e\u3057\u305f\u304c\u3001\u4e8b\u8c61\u306e\u6f14\u7b97\u3067\u6700\u3082\u6709\u540d\u306a\u516c\u5f0f\u30c9\u30fb\u30e2\u30eb\u30ac\u30f3\u306e\u6cd5\u5247\u3092\u3053\u306e\u8a18\u4e8b\u3067\u7d39\u4ecb\u3057\u307e\u3059\u3002\u516c\u5f0f\u306e\u7d39\u4ecb\u3068\u8a3c\u660e\u3092\u4e2d\u5fc3\u306b\u6271\u3046\u306e\u3067\u3001\u30c9\u30fb\u30e2\u30eb\u30ac\u30f3\u306e\u6cd5\u5247\u306b\u3064\u3044\u3066\u8a73\u3057\u304f\u77e5\u308a\u305f\u3044\u3068\u601d\u3063\u3066\u3044\u308b\u65b9\u306b\u306f\u3068\u3066\u3082\u6709\u76ca\u306a\u8a18\u4e8b\u306b\u306a\u308b\u3068\u601d\u3044\u307e\u3059\uff08\u96c6\u5408\u8ad6\u3068\u540c\u3058\u8b70\u8ad6\u306a\u306e\u3067\u3001\u96c6\u5408\u8ad6\u306b\u81ea\u4fe1\u306e\u3042\u308b\u65b9\u306b\u306f\u7269\u8db3\u308a\u306a\u3044\u3068\u601d\u3044\u307e\u3059\uff09\u3002<\/p>\n\n\n\n<h2>\u30c9\u30fb\u30e2\u30eb\u30ac\u30f3\u306e\u6cd5\u5247<\/h2>\n\n\n\n<div class=\"wp-block-liquid-speech-balloon liquid-speech-balloon-wrap liquid-speech-balloon-00  liquid-speech-balloon-short\"><div class=\"liquid-speech-balloon-avatar\"><\/div><div class=\"liquid-speech-balloon-text\" style=\"border-color:#d6ebf8;background-color:#d6ebf8;color:#000000\"><p>\u65e9\u901f\u3001\u30c9\u30fb\u30e2\u30eb\u30ac\u30f3\u306e\u6cd5\u5247\u3092\u898b\u3066\u307f\u307e\u3057\u3087\u3046\uff01<\/p><div class=\"liquid-speech-balloon-arrow\" style=\"border-color:transparent #d6ebf8 transparent transparent\"><\/div><\/div><\/div>\n\n\n\n<div style=\"display: inline-block; background: #33cc33; padding: 5px 10px; color: #ffffff; border-radius: 5px 5px 0 0;\"><strong>\u30c9\u30fb\u30e2\u30eb\u30ac\u30f3\u306e\u6cd5\u5247(de Morgan&#8217;s law)<\/strong><\/div>\n<div style=\"background: #ffffea; padding: 10px; border: 2px solid #33cc33;\">\u4e8b\u8c61\\(A,\\ B\\)\u306b\u3064\u3044\u3066\u6b21\u306e\u5f0f\u304c\u6210\u308a\u7acb\u3061\u307e\u3059\u3002$$(A\\cup B)^{c}=A^{c}\\cap B^{c},\\ \\ \\ \\ (A\\cap B)^{c}=A^{c}\\cup B^{c}$$<\/div>\n<div>&nbsp;<\/div>\n\n\n\n<div class=\"wp-block-liquid-speech-balloon liquid-speech-balloon-wrap liquid-speech-balloon-00  liquid-speech-balloon-short\"><div class=\"liquid-speech-balloon-avatar\"><\/div><div class=\"liquid-speech-balloon-text\" style=\"border-color:#d6ebf8;background-color:#d6ebf8;color:#000000\"><p>\u5177\u4f53\u7684\u306a\u4e8b\u8c61\u3067\u898b\u3066\u307f\u307e\u3057\u3087\u3046\uff01<\/p><div class=\"liquid-speech-balloon-arrow\" style=\"border-color:transparent #d6ebf8 transparent transparent\"><\/div><\/div><\/div>\n\n\n\n<ul><li>\u300c\u30b5\u30a4\u30b3\u30ed\u30672\u306e\u500d\u6570\u304b\u3001\u307e\u305f\u306f3\u306e\u500d\u6570\u304c\u51fa\u308b\u300d\u306e\u4f59\u4e8b\u8c61\u306f\u300c\u30b5\u30a4\u30b3\u30ed\u30672\u306e\u500d\u6570\u304c\u51fa\u305a\u3001\u304b\u30643\u306e\u500d\u6570\u304c\u51fa\u306a\u3044\u300d\u3068\u306a\u308a\u307e\u3059\u3002<\/li><li>\u300c\u30c8\u30e9\u30f3\u30d7\u3067\u30cf\u30fc\u30c8\u3001\u304b\u3064\u7d75\u672d\u304c\u51fa\u308b\u300d\u306e\u4f59\u4e8b\u8c61\u306f\u300c\u30c8\u30e9\u30f3\u30d7\u3067\u30cf\u30fc\u30c8\u304c\u51fa\u306a\u3044\u304b\u3001\u307e\u305f\u306f\u7d75\u672d\u304c\u51fa\u306a\u3044\u300d\u3068\u306a\u308a\u307e\u3059\u3002<\/li><\/ul>\n\n\n\n<p>\u4e8b\u8c61\u6f14\u7b97\u306e\u4e2d\u3067\u306f\u3088\u304f\u4f7f\u7528\u3055\u308c\u308b\u306e\u3067\u3001\u662f\u975e\u3068\u3082\u899a\u3048\u3066\u304a\u304d\u305f\u3044\u6cd5\u5247\u3068\u306a\u308a\u307e\u3059\u3002\u3082\u3063\u3068\u8a73\u3057\u304f\u77e5\u308a\u305f\u3044\u65b9\u306f\u3001\u4e0b\u306e\u65b9\u306b\u66f8\u3044\u3066\u3042\u308b\u8a3c\u660e\u3092\u8aad\u3093\u3067\u304f\u3060\u3055\u3044\u3002\u8a3c\u660e\u3092\u8ffd\u3046\u3053\u3068\u304c\u3067\u304d\u308c\u3070\u3001\u30c9\u30fb\u30e2\u30eb\u30ac\u30f3\u306e\u6cd5\u5247\u306b\u3064\u3044\u3066\u306f\u5b8c\u74a7\u3060\u3068\u601d\u3044\u307e\u3059\u3002<\/p>\n\n\n\n<h2>\u30c9\u30fb\u30e2\u30eb\u30ac\u30f3\u306e\u6cd5\u5247\u306e\u8a3c\u660e<\/h2>\n\n\n\n<div class=\"wp-block-liquid-speech-balloon liquid-speech-balloon-wrap liquid-speech-balloon-00  liquid-speech-balloon-short\"><div class=\"liquid-speech-balloon-avatar\"><\/div><div class=\"liquid-speech-balloon-text\" style=\"border-color:#d6ebf8;background-color:#d6ebf8;color:#000000\"><p>\u30c9\u30fb\u30e2\u30eb\u30ac\u30f3\u306e\u6cd5\u5247\u306e\u8a3c\u660e\u3092\u4e0e\u3048\u307e\u3059\u3002<br>\u300c\u78ba\u7387\u306e\u7528\u8a9e\u300d\u3068\u300c\u4e8b\u8c61\u306e\u6f14\u7b97\u300d\u300c\u96c6\u5408\u8ad6\u306e\u77e5\u8b58\u300d\u304c\u3069\u3046\u3057\u3066\u3082\u5fc5\u8981\u306b\u306a\u308b\u306e\u3067\u3001\u81ea\u4fe1\u304c\u306a\u3044\u65b9\u306f\u3069\u306e\u3088\u3046\u306a\u516c\u5f0f\u304b\u3069\u3046\u304b\u3060\u3051\u899a\u3048\u3066\u304f\u3060\u3055\u3044\uff01<\/p><div class=\"liquid-speech-balloon-arrow\" style=\"border-color:transparent #d6ebf8 transparent transparent\"><\/div><\/div><\/div>\n\n\n\n<p>\u203b\u3000\u78ba\u7387\u306e\u7528\u8a9e\u306b\u3064\u3044\u3066\u306f<a href=\"https:\/\/develop-chronos.com\/statistics-top\/statistics\/probability-word\" class=\"aioseop-link\">\uff1c\u78ba\u7387\u306e\u7528\u8a9e\u306e\u8a18\u4e8b\uff1e<\/a>\u3092\u3054\u89a7\u304f\u3060\u3055\u3044\u3002<\/p>\n\n\n\n<p>\u203b\u3000\u4e8b\u8c61\u306e\u6f14\u7b97\u306b\u3064\u3044\u3066\u306f<a href=\"https:\/\/develop-chronos.com\/statistics-top\/statistics\/set-calculation\" class=\"aioseop-link\">\uff1c\u4e8b\u8c61\u306e\u6f14\u7b97\u306e\u8a18\u4e8b\uff1e<\/a>\u3092\u3054\u89a7\u304f\u3060\u3055\u3044\u3002<\/p>\n\n\n\n<p>\u25a0\u8a3c\u660e<\/p>\n\n\n\n<p>\u307e\u305a$$(A\\cup B)^{c}=A^{c}\\cap B^{c}$$\u3067\u3042\u308b\u3053\u3068\u3092\u8a3c\u660e\u3057\u307e\u3059\u3002\u4e8b\u8c61\uff08\u96c6\u5408\uff09\u306e\u30a4\u30b3\u30fc\u30eb\u3092\u793a\u3059\u305f\u3081\u306b\u306f\u3001$$(A\\cup B)^{c}\\subset A^{c}\\cap B^{c}\u304b\u3064(A\\cup B)^{c}\\supset A^{c}\\cap B^{c}$$\u3092\u793a\u305b\u3070\u3044\u3044\u3067\u3059\u3002<\/p>\n\n\n\n<ol><li>\\((A\\cup B)^{c}\\subset A^{c}\\cap B^{c}\\)\u3068\u306a\u308b\u3053\u3068\u3092\u793a\u3057\u307e\u3059\u3002<br>\u4efb\u610f\u306b\u6839\u5143\u4e8b\u8c61\uff08\u5143\uff09\\(e\\in (A\\cup B)^{c}\\)\u3092\u3068\u308a\u307e\u3059\u3002\\(e\\in A^{c}\\cap B^{c}\\)\u3067\u3042\u308b\u3053\u3068\u3092\u793a\u305b\u3070\u3044\u3044\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u3002<br>\u4eca\u3001\u793a\u3059\u3079\u304d\u3053\u3068\u306f\\(e\\in A^{c}\\)\u304b\u3064\\(e\\in B^{c}\\)\u3067\u3059\u3002\\(e\\in A\\)\u304c\u6210\u7acb\u3059\u308b\u3053\u3068\u3092\u4eee\u5b9a\u3057\u307e\u3059\u3002\u3053\u306e\u3068\u304d<br><div style=\"overflow-x: auto;\">\\begin{align}<br>e\\in A\\ \\ \\ \\ &amp;\\Rightarrow \\ \\ \\ \\ e\\in A\\ \u307e\u305f\u306f\\ e\\in B\\\\<br>&amp;\\Rightarrow\\ \\ \\ \\ e\\in A\\cup B\\\\<br>&amp;\\Rightarrow\\ \\ \\ \\ e\\notin (A\\cup B)^{c}<br>\\end{align}<\/div><br>\u304c\u6210\u308a\u7acb\u3064\u3053\u3068\u304b\u3089\u3001\u3053\u308c\u306f\u4eee\u5b9a\u3068\u77db\u76fe\u3057\u307e\u3059\u3002\u3064\u307e\u308a\\(e\\in A^{c}\\)\u304c\u6210\u7acb\u3059\u308b\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u3002\u540c\u69d8\u306b\\(e\\in B^{c}\\)\u3082\u6210\u308a\u7acb\u3064\u306e\u3067\u3001\\((A\\cup B)^{c}\\subset A^{c}\\cap B^{c}\\)\u304c\u6210\u7acb\u3057\u307e\u3059\u3002<\/li><li>\\((A\\cup B)^{c}\\supset A^{c}\\cap B^{c}\\)\u3068\u306a\u308b\u3053\u3068\u3092\u793a\u3057\u307e\u3059\u3002<br>\u4efb\u610f\u306b\u6839\u5143\u4e8b\u8c61\uff08\u5143\uff09\\(e\\in A^{c}\\cap B^{c}\\)\u3092\u3068\u308a\u307e\u3059\u3002\\(e\\in (A\\cup B)^{c}\\)\u3067\u3042\u308b\u3053\u3068\u3092\u793a\u305b\u3070\u3044\u3044\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u3002<br>\u4eca\u3001\u793a\u3059\u3079\u304d\u3053\u3068\u306f\\(e\\in (A\\cup B)^{c}\\)\u3067\u3059\u3002\\(e\\in A\\cup B\\)\u304c\u6210\u7acb\u3059\u308b\u3053\u3068\u3092\u4eee\u5b9a\u3057\u307e\u3059\u3002\u3053\u306e\u3068\u304d<br><div style=\"overflow-x: auto;\">\\begin{align}<br>e\\in A\\cup B\\ \\ \\ \\ &amp;\\Rightarrow \\ \\ \\ \\ e\\in A\\ \u307e\u305f\u306f\\ e\\in B\\\\<br>&amp;\\Rightarrow\\ \\ \\ \\ e\\notin A^{c}\\ \u307e\u305f\u306f\\ e\\notin B^{c}\\\\<br>&amp;\\Rightarrow\\ \\ \\ \\ e\\notin A^{c}\\cap B^{c}<br>\\end{align}<\/div><br>\u304c\u6210\u308a\u7acb\u3064\u3053\u3068\u304b\u3089\u3001\u3053\u308c\u306f\u4eee\u5b9a\u3068\u77db\u76fe\u3057\u307e\u3059\u3002\u3064\u307e\u308a\\(e\\in (A\\cup B)^{c}\\)\u304c\u6210\u7acb\u3059\u308b\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u3002\u3088\u3063\u3066\u3001\\((A\\cup B)^{c}\\supset A^{c}\\cap B^{c}\\)\u304c\u6210\u7acb\u3057\u307e\u3059\u3002<\/li><\/ol>\n\n\n\n<p>(1.)(2.)\u3092\u7528\u3044\u308b\u3068\u3001\\((A\\cup B)^{c}=A^{c}\\cap B^{c}\\)\u304c\u6210\u308a\u7acb\u3064\u3053\u3068\u304c\u793a\u305b\u307e\u3057\u305f\u3002<br>\u3082\u3046\u3072\u3068\u3064\u306e\\((A\\cap B)^{c}=A^{c}\\cup B^{c}\\)\u3082\u540c\u69d8\u306b\u3059\u308c\u3070\u793a\u305b\u307e\u3059\u3002<\/p>\n\n\n\n<p class=\"has-text-align-right\">\u25a1<\/p>\n\n\n\n<h2>\u78ba\u7387\u306e\u95a2\u9023\u8a18\u4e8b<\/h2>\n\n\n\n<p>\u30fb<a href=\"https:\/\/develop-chronos.com\/statistics-top\/statistics\/probability-word\">\u78ba\u7387\u306e\u7528\u8a9e<\/a>\uff1a\u78ba\u7387\u3092\u5b66\u3076\u4e0a\u3067\u5fc5\u8981\u306a\u7528\u8a9e\u3092\u5b9a\u7fa9\u3057\u3066\u3044\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u30fb<a href=\"https:\/\/develop-chronos.com\/statistics-top\/statistics\/set-calculation\">\u4e8b\u8c61\u306e\u6f14\u7b97<\/a>\uff1a\u4e8b\u8c61\u3092\u6271\u3046\u4e0a\u3067\u5fc5\u8981\u306a\u3001\u4e8b\u8c61\u306e\u6f14\u7b97\u65b9\u6cd5\u3092\u7d39\u4ecb\u3057\u3066\u3044\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u30fb<a href=\"https:\/\/develop-chronos.com\/statistics-top\/statistics\/de-morgans-law\" class=\"aioseop-link\">\u30c9\u30fb\u30e2\u30eb\u30ac\u30f3\u306e\u6cd5\u5247<\/a>\uff1a\u4e8b\u8c61\u6f14\u7b97\u3067\u3088\u304f\u4f7f\u7528\u3055\u308c\u308b\u6cd5\u5247\u3067\u3059\u3002<\/p>\n\n\n\n<p>\u30fb<a href=\"https:\/\/develop-chronos.com\/statistics-top\/statistics\/probability-def\">\u78ba\u7387\u306e\u5b9a\u7fa9<\/a>\uff1a\u4e8b\u8c61\u3092\u7528\u3044\u3066\u78ba\u7387\u3092\u5b9a\u7fa9\u3057\u3066\u3044\u307e\u3059\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u5b66\u7fd2\u30ec\u30d9\u30eb\uff1a\u9ad8\u6821\u751f\u3000\u96e3\u6613\u5ea6\uff1a\u2605\u2606\u2606\u2606\u2606 \u4e8b\u8c61\u306e\u6f14\u7b97\u3092\u524d\u56de\u306e\u8a18\u4e8b\u3067\u6271\u3044\u307e\u3057\u305f\u304c\u3001\u4e8b\u8c61\u306e\u6f14\u7b97\u3067\u6700\u3082\u6709\u540d\u306a\u516c\u5f0f\u30c9\u30fb\u30e2\u30eb\u30ac\u30f3\u306e\u6cd5\u5247\u3092\u3053\u306e\u8a18\u4e8b\u3067\u7d39\u4ecb\u3057 &#8230; <\/p>\n","protected":false},"author":1,"featured_media":854,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":""},"categories":[54],"tags":[56,55],"jetpack_featured_media_url":"https:\/\/develop-chronos.com\/statistics-top\/statistics\/wp-content\/uploads\/2020\/05\/mathmathmath.png","_links":{"self":[{"href":"https:\/\/develop-chronos.com\/statistics-top\/statistics\/wp-json\/wp\/v2\/posts\/830"}],"collection":[{"href":"https:\/\/develop-chronos.com\/statistics-top\/statistics\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/develop-chronos.com\/statistics-top\/statistics\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/develop-chronos.com\/statistics-top\/statistics\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/develop-chronos.com\/statistics-top\/statistics\/wp-json\/wp\/v2\/comments?post=830"}],"version-history":[{"count":22,"href":"https:\/\/develop-chronos.com\/statistics-top\/statistics\/wp-json\/wp\/v2\/posts\/830\/revisions"}],"predecessor-version":[{"id":1841,"href":"https:\/\/develop-chronos.com\/statistics-top\/statistics\/wp-json\/wp\/v2\/posts\/830\/revisions\/1841"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/develop-chronos.com\/statistics-top\/statistics\/wp-json\/wp\/v2\/media\/854"}],"wp:attachment":[{"href":"https:\/\/develop-chronos.com\/statistics-top\/statistics\/wp-json\/wp\/v2\/media?parent=830"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/develop-chronos.com\/statistics-top\/statistics\/wp-json\/wp\/v2\/categories?post=830"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/develop-chronos.com\/statistics-top\/statistics\/wp-json\/wp\/v2\/tags?post=830"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}