{"id":64501,"date":"2024-04-25T19:02:06","date_gmt":"2024-04-25T19:02:06","guid":{"rendered":"https:\/\/science-hub.click\/%E3%82%AB%E3%83%83%E3%83%97%E3%83%AB%28%E6%95%B0%E5%AD%A6%29-%E5%AE%9A%E7%BE%A9\/"},"modified":"2024-04-25T19:02:06","modified_gmt":"2024-04-25T19:02:06","slug":"%E3%82%AB%E3%83%83%E3%83%97%E3%83%AB%28%E6%95%B0%E5%AD%A6%29-%E5%AE%9A%E7%BE%A9","status":"publish","type":"post","link":"https:\/\/science-hub.click\/?p=64501","title":{"rendered":"\u30ab\u30c3\u30d7\u30eb (\u6570\u5b66) &#8211; \u5b9a\u7fa9"},"content":{"rendered":"<div><div><p>\u6570\u5b66\u3067\u306f\u30012 \u3064\u306e\u30aa\u30d6\u30b8\u30a7\u30af\u30c8\u306e<strong>\u30da\u30a2\u3068\u306f\u3001<\/strong>\u3053\u308c\u3089 2 \u3064\u306e\u30aa\u30d6\u30b8\u30a7\u30af\u30c8\u3092\u6c7a\u3081\u3089\u308c\u305f\u9806\u5e8f\u3067\u4e26\u3079\u305f\u30c7\u30fc\u30bf\u3067\u3059\u3002 2 \u3064\u306e\u30aa\u30d6\u30b8\u30a7\u30af\u30c8<i>a<\/i>\u3068<i>b<\/i>\u306e\u30da\u30a2\u306f ( <i>a<\/i> , <i>b<\/i> ) \u3067\u8868\u3055\u308c\u307e\u3059\u3002 <i>a<\/i>\u3068<i>b<\/i>\u304c\u7570\u306a\u308b\u5834\u5408\u3001\u30da\u30a2 ( <i>a<\/i> , <i>b<\/i> ) \u306f\u30da\u30a2 ( <i>b<\/i> , <i>a<\/i> ) \u3068\u306f\u7570\u306a\u308a\u307e\u3059\u3002\u3053\u306e\u70b9\u3067\u3001 \u30ab\u30c3\u30d7\u30eb \u306e\u6982\u5ff5\u306f<i>\u30da\u30a2<\/i>\u306e\u6982\u5ff5\u3068\u306f\u7570\u306a\u308a\u307e\u3059\u3002\u30ab\u30c3\u30d7\u30eb\u3092\u6307\u5b9a\u3059\u308b\u305f\u3081\u306b\u3001\u82f1\u8a9e\u8a71\u8005\u306f<i>\u9806\u5e8f\u4ed8\u304d\u30da\u30a2<\/i>\u3001\u3064\u307e\u308a<i>\u9806\u5e8f\u200b\u200b\u4ed8\u304d\u30da\u30a2<\/i>\u3092\u4f7f\u7528\u3057\u307e\u3059\u3002<\/p><h2><span>\u30ab\u30c3\u30d7\u30eb\u306e\u6982\u5ff5<\/span><\/h2><p>\u30aa\u30d6\u30b8\u30a7\u30af\u30c8<i>a<\/i>\u304a\u3088\u3073<i>b \u306f<\/i>\u3001\u305d\u308c\u305e\u308c\u3001\u30ab\u30c3\u30d7\u30eb ( <i>a<\/i> , <i>b<\/i> ) \u306e<strong>\u7b2c 1 \u30b3\u30f3\u30dd\u30fc\u30cd\u30f3\u30c8<\/strong>\u304a\u3088\u3073<strong>\u7b2c 2 \u30b3\u30f3\u30dd\u30fc\u30cd\u30f3\u30c8<\/strong>\u3068\u547c\u3070\u308c\u307e\u3059\u3002<\/p><h3><span>\u7279\u5fb4\u7684\u306a\u6027\u8cea<\/span><\/h3><p>\u6700\u521d\u306f\u539f\u59cb\u7684\u306a\u6982\u5ff5\u3068\u3057\u3066\u5c0e\u5165\u3055\u308c\u307e\u3057\u305f\u304c\u3001\u30ab\u30c3\u30d7\u30eb\u306e\u6982\u5ff5\u306e\u672c\u8cea\u306f\u6b21\u306e\u3088\u3046\u306a<i>\u7279\u5fb4\u7684\u306a\u6027\u8cea<\/i>\u306b\u3042\u308a\u307e\u3059\u3002<\/p><dl><dd> <i><strong>2 \u3064\u306e\u30ab\u30c3\u30d7\u30eb\u306f\u3001\u4e00\u65b9\u3067\u306f\u305d\u306e\u6700\u521d\u306e\u6210\u5206\u304c\u3001\u3082\u3046\u4e00\u65b9\u3067\u306f 2 \u756a\u76ee\u306e\u6210\u5206\u304c\u4e92\u3044\u306b\u7b49\u3057\u3044\u5834\u5408\u306b\u306e\u307f\u7b49\u3057\u3044\u3068\u8a00\u3048\u307e\u3059<\/strong><\/i>\u3002<\/dd><dd>\u8a00\u3044\u63db\u3048\u308c\u3070\u3001 <i>a<\/i> <sub>1<\/sub> \u3001 <i>a<\/i> <sub>2<\/sub> \u3001 <i>b<\/i> <sub>1<\/sub> \u3001 <i>b<\/i> <sub>2<\/sub>\u304c\u4f55\u3067\u3042\u3063\u3066\u3082\u3001\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<dl><dd> ( <i>a<\/i> <sub>1<\/sub> , <i>a<\/i> <sub>2<\/sub> ) = ( <i>b<\/i> <sub>1<\/sub> , <i>b<\/i> <sub>2<\/sub> ) <i>a<\/i> <sub>1<\/sub> = <i>b<\/i> <sub>1<\/sub>\u304a\u3088\u3073<i>a<\/i> <sub>2<\/sub> = <i>b<\/i> <sub>2<\/sub>\u306e\u5834\u5408\u306b\u9650\u308a\u307e\u3059\u3002<\/dd><\/dl><\/dd><\/dl><p>\u3053\u306e\u7279\u6027\u306f\u3001\u30da\u30a2\u306e\u7b49\u4fa1\u6027\u3068\u6bd4\u8f03\u3055\u308c\u307e\u3059<i>\u3002\u30da\u30a2\u306e\u5834\u5408\u3001<\/i> b <i><sub>1<\/sub>\u3068<\/i>b 2 \u306f\u3001a <i><sub>1<\/sub>\u3068<\/i>a 2<i><sub>\u306b\u95a2\u3057\u3066<\/sub>\u7f6e\u63db\u3067\u304d\u307e\u3059\u304c<\/i><i><sub>\u3001<\/sub>\u30ab\u30c3\u30d7\u30eb\u306e\u5834\u5408\u306f\u305d\u3046\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u3002<\/i><\/p><p>\u3053\u308c\u306f\u6b21\u306e<span>\u7d50\u8ad6<\/span>\u306b\u3088\u3063\u3066\u78ba\u8a8d\u3055\u308c\u307e\u3059\u3002<\/p><dl><dd><i>\u30ab\u30c3\u30d7\u30eb\u306e\u30b3\u30f3\u30dd\u30fc\u30cd\u30f3\u30c8\u306f\u3001\u305d\u308c\u3089\u304c\u540c\u4e00\u3067\u306a\u3044\u9650\u308a\u3001\u30ab\u30c3\u30d7\u30eb\u3092\u5909\u66f4\u305b\u305a\u306b\u4ea4\u63db\u3059\u308b\u3053\u3068\u306f\u3067\u304d\u307e\u305b\u3093<\/i>\u3002<\/dd><dd>\u3053\u308c\u306f\u6b21\u306e\u3088\u3046\u306b\u3088\u308a\u6b63\u5f0f\u306b\u8868\u73fe\u3067\u304d\u307e\u3059: <i>a<\/i>\u3068<i>b \u306f<\/i>\u4f55\u3067\u3082:<dl><dd> ( <i>a<\/i> , <i>b<\/i> ) = ( <i>b<\/i> , <i>a<\/i> ) <i>a<\/i> = <i>b<\/i>\u306e\u5834\u5408\u304a\u3088\u3073\u305d\u306e\u5834\u5408\u306b\u9650\u308a\u307e\u3059\u3002<\/dd><\/dl><\/dd><\/dl><p>\u3057\u305f\u304c\u3063\u3066\uff1a<\/p><ul><li><i>\u30ab\u30c3\u30d7\u30eb<\/i>( <i>a<\/i> , <i>b<\/i> ) \u306e\u5834\u5408: <i>b<\/i> \u2260 <i>a<\/i> \u21d2 ( <i>b<\/i> , <i>a<\/i> ) \u2260 ( <i>a<\/i> , <i>b<\/i> )<\/li><li>\u30da\u30a2 { <i>a<\/i> , <i>b<\/i> } \u306e\u5834\u5408: { <i>b<\/i> , <i>a<\/i> } = { <i>a<\/i> , <i>b<\/i> }<\/li><\/ul><p> <sup class=\"reference\" id=\"_ref-0\"><span>[<\/span> 1 <span>]<\/span><\/sup><\/p><p>\u3057\u305f\u304c\u3063\u3066\u3001\u30ab\u30c3\u30d7\u30eb\u3068\u30da\u30a2\u306e\u6982\u5ff5\u3092\u6df7\u540c\u3057\u306a\u3044\u3067\u304f\u3060\u3055\u3044\u3002<\/p><p>\u3057\u305f\u304c\u3063\u3066\u3001\u30ab\u30c3\u30d7\u30eb\u5185\u306e\u30b3\u30f3\u30dd\u30fc\u30cd\u30f3\u30c8\u306e\u9806\u5e8f\u304c\u91cd\u8981\u3067\u3042\u308b\u305f\u3081\u3001\u6b21\u306e\u3088\u3046\u306b\u5b9a\u7fa9\u3055\u308c\u307e\u3059\u3002<\/p><dl><dd> <i>a \u304c b \u3068\u7570\u306a\u308b\u5834\u5408\u3001\u30ab\u30c3\u30d7\u30eb<\/i>( <i>b<\/i> , <i>a<\/i> ) \u306f<strong>\u5bfe\u79f0\u30ab\u30c3\u30d7\u30eb<\/strong><i>\u3001\u307e\u305f\u306f<\/i><i>\u30ab\u30c3\u30d7\u30eb<\/i>( <i>a<\/i> , <i>b<\/i> ) \u306e<strong><span><a href=\"https:\/\/science-hub.click\/?p=94311\">\u9006<\/a><\/span>\u30ab\u30c3\u30d7\u30eb<\/strong>\u3068\u3055\u3048<i>\u547c\u3070\u308c\u307e\u3059<\/i>\u3002<\/dd><\/dl><h3><span><span><a href=\"https:\/\/science-hub.click\/?p=33222\">\u30c7\u30ab\u30eb\u30c8\u7a4d<\/a><\/span><\/span><\/h3><p>\u6700\u521d\u306e\u6210\u5206\u304c\u4efb\u610f\u306e\u96c6\u5408<i>X<\/i>\u306b\u5c5e\u3057\u3001 <span><a href=\"https:\/\/science-hub.click\/?p=68283\">2 \u756a\u76ee<\/a><\/span>\u306e\u6210\u5206\u304c\u4efb\u610f\u306e\u96c6\u5408<i>Y<\/i>\u306b\u5c5e\u3059\u308b\u3059\u3079\u3066\u306e\u30da\u30a2\u306e<span><a href=\"https:\/\/science-hub.click\/?p=57227\">\u96c6\u5408\u306f<\/a><\/span>\u3001\u3053\u308c\u3089 2 \u3064\u306e\u96c6\u5408\u306e<i>\u30c7\u30ab\u30eb\u30c8\u7a4d<\/i>\u3068\u547c\u3070\u308c\u3001 <i>X<\/i> \u00d7 <i>Y<\/i>\u3067\u8868\u3055\u308c\u307e\u3059\u3002 <i>X<\/i> \u00d7 <i>Y<\/i>\u306e<i>\u90e8\u5206\u96c6\u5408<\/i>\u306f\u30b0\u30e9\u30d5\u3067\u3059\u3002<\/p><figure class=\"wp-block-image size-large is-style-default\">\n<img decoding=\"async\" alt=\"\u30ab\u30c3\u30d7\u30eb (\u6570\u5b66) - \u5b9a\u7fa9\" class=\"aligncenter\" onerror=\"this.style.display=none;\" src=\"https:\/\/img.youtube.com\/vi\/MFouQb1s438\/0.jpg\" style=\"width:100%;\"\/><\/figure><h3><span>\u4f8b<\/span><\/h3><ul><li>(1, 4) \u3068 (4, 4) \u306f\u6574\u6570\u306e\u30da\u30a2\u3067\u3059\u3002<\/li><li> E = {1, 2, 3} \u306e\u5834\u5408\u3001({1}, {1, 3}) \u3068 (\u00d8, {1}) \u306f E \u306e\u90e8\u5206\u306e\u30da\u30a2\u306b\u306a\u308a\u307e\u3059\u3002<\/li><\/ul><figure class=\"wp-block-image size-large is-style-default\">\n<img decoding=\"async\" alt=\"\u30ab\u30c3\u30d7\u30eb (\u6570\u5b66) - \u5b9a\u7fa9\" class=\"aligncenter\" onerror=\"this.style.display=none;\" src=\"https:\/\/img.youtube.com\/vi\/K0HxDK5lZxc\/0.jpg\" style=\"width:100%;\"\/><\/figure><h2> <span><span><a href=\"https:\/\/science-hub.click\/?p=12580\">\u96c6\u5408\u8ad6<\/a><\/span>\u306b\u304a\u3051\u308b\u30ab\u30c3\u30d7\u30eb<\/span><\/h2><p><span><a href=\"https:\/\/science-hub.click\/?p=70571\">\u30ce\u30eb\u30d9\u30eb\u30c8\u30fb\u30a6\u30a3\u30fc\u30ca\u30fc\u306f\u3001<\/a><\/span>\u30ab\u30c3\u30d7\u30eb\u3068\u3044\u3046\u6982\u5ff5\u306f\u5168\u4f53\u306e\u89b3\u70b9\u304b\u3089\u5b9a\u7fa9\u3067\u304d\u308b\u3053\u3068\u306b\u6700\u521d\u306b\u6c17\u3065\u304d\u307e\u3057\u305f (1914 \u5e74)\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u30ab\u30c3\u30d7\u30eb\u3068\u3044\u3046\u6982\u5ff5\u3092\u624b\u306b\u5165\u308c\u308b\u3068\u3059\u3050\u306b\u3001\u3053\u306e\u6982\u5ff5\u3092\u539f\u59cb\u7684\u306a\u6982\u5ff5\u3068\u3057\u3066\u5c0e\u5165\u3059\u308b\u5fc5\u8981\u306f\u3042\u308a\u307e\u305b\u3093\u3002\u5168\u4f53\u3002<\/p><p>\u96c6\u5408<span><a href=\"https:\/\/science-hub.click\/?p=11998\">\u8ad6<\/a><\/span>\u3067\u306f\u3001<i>\u7d50\u5408\u95a2\u6570\u306f<\/i>\u3001\u4efb\u610f\u306e 2 \u3064\u306e\u30aa\u30d6\u30b8\u30a7\u30af\u30c8<i>x<\/i>\u304a\u3088\u3073<i>y<\/i>\u306b\u3001( <i>x<\/i> , <i>y<\/i> ) \u3067\u793a\u3055\u308c\u308b<span>\u30aa\u30d6\u30b8\u30a7\u30af\u30c8\u3092<\/span>\u95a2\u9023\u4ed8\u3051\u3066\u691c\u8a3c\u3059\u308b\u95a2\u6570\u3067\u3059 (\u76f4\u89b3\u7684\u306a<span><a href=\"https:\/\/science-hub.click\/?p=81037\">\u610f\u5473<\/a><\/span>\u3067\u3001\u79c1\u305f\u3061\u304c\u53d6\u308a\u7d44\u3093\u3067\u3044\u308b\u96c6\u5408\u8ad6\u306e\u610f\u5473\u3067\u306f\u3042\u308a\u307e\u305b\u3093)\u3002\u30ab\u30c3\u30d7\u30eb\u306e\u7279\u5fb4\u3002\u7d50\u5408\u95a2\u6570\u304c\u305f\u304f\u3055\u3093\u3042\u308a\u307e\u3059\u3002\u901a\u5e38\u3001\u79c1\u305f\u3061\u306f\u30ab\u30b8\u30df\u30a8\u30b7\u30e5\u30fb\u30af\u30e9\u30c8\u30d5\u30b9\u30ad\uff081921\uff09\u306b\u3088\u308b\u30ab\u30c3\u30d7\u30eb\u306e\u8868\u73fe\u3092\u4f7f\u7528\u3057\u307e\u3059\u3002\u3053\u306e\u9078\u629e\u306f\u4fbf\u5229\u3067\u3059\u304c\u3001\u672c\u8cea\u7684\u306a\u3082\u306e\u306f\u4f55\u3082\u3042\u308a\u307e\u305b\u3093\u3002\u7279\u306b\u3001\u7d50\u5408\u306e\u901a\u5e38\u306e<span><a href=\"https:\/\/science-hub.click\/?p=66499\">\u6570\u5b66\u7684<\/a><\/span>\u7279\u6027\u306f\u3059\u3079\u3066\u7279\u6027\u7279\u6027\u304b\u3089\u63a8\u5b9a\u3067\u304d\u3001\u7d50\u5408\u95a2\u6570\u306e\u9078\u629e\u306f\u5f71\u97ff\u3092\u53ca\u307c\u3057\u307e\u305b\u3093\u3002<\/p><h3><span>\u30af\u30e9\u30c8\u30d5\u30b9\u30ad\u30fc\u592b\u5a66<\/span><\/h3><p>\u96c6\u5408\u8ad6\u3067\u306f\u30da\u30a2\u306f\u6b21\u306e\u3088\u3046\u306b\u5b9a\u7fa9\u3055\u308c\u307e\u3059\u3002<\/p><dl><dd> <i>x<\/i>\u3068<i>y<\/i>\u306e\u4efb\u610f\u306e 2 \u3064\u306e\u30bb\u30c3\u30c8\u306b\u5bfe\u3057\u3066\u3001( <i>x<\/i> , <i>y<\/i> )={{ <i>x<\/i> },{ <i>x<\/i> , <i>y<\/i> }} \u3092\u8a2d\u5b9a\u3057\u307e\u3059\u3002<\/dd><\/dl><p>\u3053\u306e<span><a href=\"https:\/\/science-hub.click\/?p=74671\">\u5b9a\u7fa9<\/a><\/span>\u3067\u306f\u3001<span><a href=\"https:\/\/science-hub.click\/?p=26580\">\u30da\u30a2\u516c\u7406\u3092<\/a><\/span>3 \u56de\u4f7f\u7528\u3057\u3066\u30b7\u30f3\u30b0\u30eb\u30c8\u30f3 { <i>x<\/i> } \u3092\u5f62\u6210\u3057\u3001\u6b21\u306b\u30da\u30a2 (\u307e\u305f\u306f\u30b7\u30f3\u30b0\u30eb\u30c8\u30f3) { <i>x<\/i> , <i>y<\/i> } \u3092\u5f62\u6210\u3057\u3001\u6700\u5f8c\u306b\u30da\u30a2 (\u307e\u305f\u306f\u30b7\u30f3\u30b0\u30eb\u30c8\u30f3) {{ <i>x<\/i> } \u3092\u5f62\u6210\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002 { <i>x<\/i> , <i>y<\/i> }}\u3002<\/p><p>\u79c1\u305f\u3061\u306f\u30ab\u30c3\u30d7\u30eb\u3068\u3044\u3046\u6982\u5ff5\u3092\u72ec\u81ea\u306e\u65b9\u6cd5\u3067\u660e\u78ba\u306b\u5b9a\u7fa9\u3057\u307e\u3057\u305f\u3002\u6b21\u306b\u3001\u62e1\u5f35\u6027\u306e<span><a href=\"https:\/\/science-hub.click\/?p=79721\">\u516c\u7406<\/a><\/span>\u3092\u7e70\u308a\u8fd4\u3057\u4f7f\u7528\u3059\u308b\u3053\u3068\u3067\u3001\u7279\u5fb4\u7684\u306a\u30d7\u30ed\u30d1\u30c6\u30a3\u3092\u7c21\u5358\u306b\u793a\u3057\u307e\u3059\u3002<\/p><dl><dd><i>\u3059\u3079\u3066\u306e\u96c6\u5408<\/i>x <i>\u3001<\/i> y <i>\u3001<\/i> x&#8217;<i>\u304a\u3088\u3073<\/i>y&#8217; \u306b\u3064\u3044\u3066<i>\u3001 {{<\/i> x <i>},{<\/i> x <i>,<\/i> y <i>}}={{<\/i> x&#8217; <i>},{<\/i> x&#8217; <i>,<\/i> y&#8217; <i>}} \u306e\u5834\u5408\u3001 x = x&#8217; \u304a\u3088\u3073 y = y &#8216;\u3001\u3053\u308c\u306f\u5bfe\u306e\u516c\u7406\u3068\u5916\u5ef6\u6027\u306e\u516c\u7406\u3092\u691c\u8a3c\u3059\u308b\u96c6\u5408\u8ad6\u306b\u304a\u3051\u308b\u3082\u306e\u3067\u3059\u3002<\/i><\/dd><\/dl><p> 2 \u3064\u306e\u30da\u30a2 (\u307e\u305f\u306f\u30b7\u30f3\u30b0\u30eb\u30c8\u30f3) \u306b\u5bfe\u3057\u3066\u7b49\u4fa1\u6761\u4ef6\u3092\u4f7f\u7528\u3057\u3001\u8003\u3048\u3089\u308c\u308b\u3059\u3079\u3066\u306e\u30b1\u30fc\u30b9\u3092\u6ce8\u610f\u6df1\u304f\u533a\u5225\u3059\u308b\u3060\u3051\u3067\u5341\u5206\u3067\u3059\u3002<\/p><ul><li> { <i>x<\/i> }={ <i>x&#8217;<\/i> } \u304a\u3088\u3073 { <i>x<\/i> , <i>y<\/i> }={ <i>x&#8217;<\/i> , <i>y&#8217;<\/i> } \u3068\u3057\u307e\u3059\u3002\u6b21\u306b\u3001(2 \u3064\u306e\u30b7\u30f3\u30b0\u30eb\u30c8\u30f3\u304c\u7b49\u3057\u3044) <i>x<\/i> = <i>x&#8217;<\/i>\u3068\u306a\u308a\u307e\u3059\u3002\u4e00\u65b9 (2 \u3064\u306e\u30da\u30a2\u304c\u7b49\u3057\u3044)\u3001 <i>x<\/i> = <i>x&#8217;<\/i>\u304a\u3088\u3073<i>y<\/i> = <i>y&#8217;<\/i>\u3068\u3057\u307e\u3059\u3002\u3053\u3053\u3067\u5b9f\u8a3c\u3057\u305f\u3044\u3053\u3068\u306f\u3001 <i>x<\/i> = <i>y&#8217;<\/i>\u304a\u3088\u3073<i>y<\/i> = <i>x&#8217;<\/i>\u3068\u3057\u307e\u3059\u304c\u3001\u4ed6\u306e\u7b87\u6240\u3068\u540c\u69d8\u306b<i>x<\/i> = <i>x&#8217;<\/i>\u3068\u3057\u3066\u30014\u8981\u7d20\u304c\u7b49\u3057\u3044\u305f\u3081\u7d50\u679c\u304c\u5f97\u3089\u308c\u307e\u3059\u3002<\/li><\/ul><ul><li> { <i>x<\/i> }={ <i>x&#8217;<\/i> , <i>y&#8217;<\/i> } \u304a\u3088\u3073 { <i>x<\/i> , <i>y<\/i> }={ <i>x&#8217;<\/i> } \u3068\u3057\u307e\u3059\u3002\u3053\u308c\u3089 2 \u3064\u306e\u7b49\u5f0f\u304b\u3089\u30014 \u3064\u306e\u8981\u7d20\u304c\u7b49\u3057\u3044\u3053\u3068\u304c\u63a8\u5b9a\u3055\u308c\u3001\u7d50\u679c\u304c\u5f97\u3089\u308c\u307e\u3059\u3002<\/li><\/ul><p>\u6ce8\u610f\u3057\u307e\u3057\u3087\u3046<div class=\"math-formual notranslate\">$$ {\\mathfrak{P} \\,} $$<\/div> ( <i>E<\/i> ) <i>E<\/i>\u306e<i>\u90e8\u5206\u306e\u96c6\u5408<\/i>\u3002 <i>x<\/i> \u2208 <i>X<\/i>\u304a\u3088\u3073<i>y<\/i> \u2208 <i>Y<\/i>\u306e\u5834\u5408\u3001 { <i>x<\/i> } \u2208 \u3067\u3042\u308b\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u3002 <div class=\"math-formual notranslate\">$$ {\\mathfrak{P} \\,} $$<\/div> ( <i>X\u222aY<\/i> ) \u3068 { <i>x<\/i> <i>,y<\/i> <i>}<\/i> \u2208 <div class=\"math-formual notranslate\">$$ {\\mathfrak{P} \\,} $$<\/div> ( <i>X<\/i> \u222a <i>Y<\/i> )\u3001\u3057\u305f\u304c\u3063\u3066<\/p><dl><dd>( <i>x<\/i> , <i>y<\/i> ) \u2208 <div class=\"math-formual notranslate\">$$ {\\mathfrak{P} \\,} $$<\/div> ( <div class=\"math-formual notranslate\">$$ {\\mathfrak{P} \\,} $$<\/div> ( <i>X\u222aY<\/i> <i>)<\/i> )<\/dd><\/dl><p>\u3053\u308c\u306f\u3001 <i>Z= \u3092<\/i>\u8a2d\u5b9a\u3059\u308b\u3053\u3068\u306b\u3088\u308a\u30012 \u3064\u306e\u96c6\u5408\u306e\u30c7\u30ab\u30eb\u30c8\u7a4d\u304c\u5b9f\u969b\u306b\u96c6\u5408\u3067\u3042\u308b\u3053\u3068\u3092\u793a\u3059\u306e\u306b\u5f79\u7acb\u3061\u307e\u3059 (\u7406\u89e3\u3059\u308b\u306b\u306f\u3001\u5bfe\u306e\u516c\u7406\u3001<span><a href=\"https:\/\/science-hub.click\/?p=35254\">\u548c\u96c6\u5408\u306e\u516c\u7406<\/a><\/span>\u3001\u90e8\u5206\u306e\u96c6\u5408\u306e\u516c\u7406\u3001\u304a\u3088\u3073\u516c\u7406\u56f3\u304c\u5fc5\u8981\u3067\u3059)\u3002 $$ {\\mathfrak{P} \\,} $$<\/p><\/div> ( <div class=\"math-formual notranslate\">$$ {\\mathfrak{P} \\,} $$<\/div> ( <i>X\u222aY<\/i> <i>)):<\/i><dl><dd> <i>X<\/i> \u00d7 <i>Y<\/i> ={z \u2208 <i>Z<\/i> \/\u2203x \u2208 <i>X<\/i> \u2203y \u2208 <i>Y<\/i> z=(x,y)}<\/dd><\/dl><p>\u9006\u306b\u3001\u30da\u30a2<i>C<\/i>\u306e\u30bb\u30c3\u30c8\u304c\u4e0e\u3048\u3089\u308c\u305f\u3068\u3057\u307e\u3059\u3002\u3053\u306e\u5834\u5408\u3001 <i>C<\/i>\u306e\u30b3\u30f3\u30dd\u30fc\u30cd\u30f3\u30c8\u306f\u3001 <i>C<\/i>\u306e\u8981\u7d20\u306e<span><a href=\"https:\/\/science-hub.click\/?p=67229\">\u4f1a\u5408\u3092<\/a><\/span>\u7d50\u5408\u3059\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u5f97\u3089\u308c\u308b\u96c6\u5408<i>E<\/i>\u306b\u5c5e\u3057\u307e\u3059\u3002 \u3057\u305f\u304c\u3063\u3066\u3001\u6b21\u306e\u3053\u3068\u3092\u7406\u89e3\u3059\u308b\u3053\u3068\u3067\u3001 <i>C<\/i>\u306e\u6700\u521d\u3068 2 \u756a\u76ee\u306e\u30b3\u30f3\u30dd\u30fc\u30cd\u30f3\u30c8\u306e\u30bb\u30c3\u30c8\u3092\u5b9a\u7fa9\u3067\u304d\u307e\u3059\u3002<\/p><dl><dd> E=\u222a\u222aC ; A = {x \u2208 E \/ \u2203 y (x,y) \u2208 C}; B = {y \u2208 E \/ \u2203 x (x,y) \u2208 C}<\/dd><\/dl><p>\u3053\u308c\u306f\u3001\u305f\u3068\u3048\u3070\u3001\u95a2\u4fc2\u307e\u305f\u306f\u95a2\u6570\u306e<span><a href=\"https:\/\/science-hub.click\/?p=94558\">\u5b9a\u7fa9\u30bb\u30c3\u30c8<\/a><\/span>\u307e\u305f\u306f\u30a4\u30e1\u30fc\u30b8 \u30bb\u30c3\u30c8 (\u30da\u30a2\u306e\u30bb\u30c3\u30c8\u3068\u3057\u3066\u898b\u3089\u308c\u308b) \u304c\u5b9f\u969b\u306b\u30bb\u30c3\u30c8\u3067\u3042\u308b\u3053\u3068\u3092\u793a\u3059\u306e\u306b\u5f79\u7acb\u3061\u307e\u3059 (\u548c\u96c6\u5408\u306e\u516c\u7406\u3068\u7406\u89e3\u306e\u516c\u7406\u306e\u56f3\u3092\u4f7f\u7528\u3057\u307e\u3059)\u3002<\/p><h3><span>\u305d\u306e\u4ed6\u306e\u30ab\u30c3\u30d7\u30ea\u30f3\u30b0\u6a5f\u80fd<\/span><\/h3><p>Wiener \u306f 1914 \u5e74\u306b\u6b21\u306e\u30ab\u30c3\u30d7\u30eb\u306e\u5b9a\u7fa9\u3092\u4f7f\u7528\u3057\u307e\u3057\u305f: ( <i>x<\/i> , <i>y<\/i> )={ {{ <i>x<\/i> },\u2205}, { { <i>y<\/i> } } } \u3053\u308c\u306f\u3001Kuratowski \u306e\u5b9a\u7fa9\u3088\u308a\u3082\u307b\u3068\u3093\u3069\u8907\u96d1\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u3002<\/p><figure class=\"wp-block-image size-large is-style-default\">\n<img decoding=\"async\" alt=\"\u30ab\u30c3\u30d7\u30eb (\u6570\u5b66) - \u5b9a\u7fa9\" class=\"aligncenter\" onerror=\"this.style.display=none;\" src=\"https:\/\/img.youtube.com\/vi\/HUt0J6Ktj2k\/0.jpg\" style=\"width:100%;\"\/><\/figure><p> ( <i>x<\/i> , <i>y<\/i> )={ <i>x<\/i> ,{ <i>x<\/i> , <i>y<\/i> }} \u3092\u4f7f\u7528\u3059\u308b\u3053\u3068\u3082\u3067\u304d\u307e\u3059\u304c\u3001\u7279\u6027\u7279\u6027\u306e\u8a3c\u660e\u306b\u306f\u57fa\u790e\u516c\u7406\u304c\u5fc5\u8981\u3067\u3059\u3002<\/p><h2><span>\u4e00\u822c\u5316<\/span><\/h2><p>\u30c8\u30ea\u30d7\u30eb\u306f\u3001\u6b21\u306e\u7279\u6027\u3092\u6e80\u305f\u3059\u3082\u306e\u3068\u3057\u3066\u5b9a\u7fa9\u3067\u304d\u307e\u3059\u3002<\/p><dl><dd> <i>2 \u3064\u306e\u30c8\u30ea\u30d7\u30eb\u306f\u3001\u6700\u521d\u306e\u30b3\u30f3\u30dd\u30fc\u30cd\u30f3\u30c8\u304c\u4e92\u3044\u306b\u7b49\u3057\u304f\u30012 \u756a\u76ee\u306e\u30b3\u30f3\u30dd\u30fc\u30cd\u30f3\u30c8\u3082\u540c\u3058\u3067\u30013 \u756a\u76ee\u306e\u30b3\u30f3\u30dd\u30fc\u30cd\u30f3\u30c8\u3082\u540c\u3058\u3067\u3042\u308b\u5834\u5408\u306b\u306e\u307f\u7b49\u3057\u3044\u3068\u898b\u306a\u3055\u308c\u307e\u3059<\/i>\u3002<\/dd><\/dl><p>\u30c8\u30ea\u30d7\u30eb (a, b, c) \u306f\u3001(a, (b, c)) \u307e\u305f\u306f 2 \u3064\u306e\u30cd\u30b9\u30c8\u3055\u308c\u305f\u30da\u30a2\u3068\u3057\u3066\u30b3\u30fc\u30c9\u5316\u3067\u304d\u307e\u3059\u3002\u30cd\u30b9\u30c8\u9806\u5e8f\u306e\u9078\u629e\u306f\u307e\u3063\u305f\u304f\u4efb\u610f\u3067\u3059\u3002\u69cb\u7bc9\u30d7\u30ed\u30bb\u30b9\u3092 n \u30bf\u30d7\u30eb\u306b\u4e00\u822c\u5316\u3067\u304d\u307e\u3059\u3002n \u306f\u4efb\u610f\u306e\u6574\u6570\u3067\u3059\u3002\u7121\u9650\u306e\u30b3\u30f3\u30dd\u30fc\u30cd\u30f3\u30c8\u306b\u4e00\u822c\u5316\u3059\u308b\u305f\u3081\u306b\u3001\u79c1\u305f\u3061\u306f\u30bf\u30d7\u30eb\u306b\u3064\u3044\u3066\u8a71\u3059\u306e\u3067\u306f\u306a\u304f\u3001\u95a2\u6570\u3001\u304a\u305d\u3089\u304f\u53ef\u7b97\u306e\u5834\u5408\u306f\u30b7\u30fc\u30b1\u30f3\u30b9\u306b\u3064\u3044\u3066\u8a71\u3057\u307e\u3059\u3002<\/p><p> 3 \u3064\u4ee5\u4e0a\u306e\u6210\u5206\u3092\u542b\u3080\u4e00\u822c\u5316\u306b\u3064\u3044\u3066\u306f\u3001\u300c\u30c7\u30ab\u30eb\u30c8\u7a4d\u300d\u306e\u8a18\u4e8b\u3067\u8a73\u3057\u304f\u8aac\u660e\u3055\u308c\u3066\u3044\u307e\u3059\u3002<\/p><\/div>\n<h2 class=\"ref_link\">\u53c2\u8003\u8cc7\u6599<\/h2>\n<ol><li><a class=\"notranslate\" href=\"https:\/\/ar.wikipedia.org\/wiki\/%D8%B2%D9%88%D8%AC_%D9%85%D8%B1%D8%AA%D8%A8\">\u0632\u0648\u062c \u0645\u0631\u062a\u0628 \u2013 arabe<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/bg.wikipedia.org\/wiki\/%D0%9D%D0%B0%D1%80%D0%B5%D0%B4%D0%B5%D0%BD%D0%B0_%D0%B4%D0%B2%D0%BE%D0%B9%D0%BA%D0%B0\">\u041d\u0430\u0440\u0435\u0434\u0435\u043d\u0430 \u0434\u0432\u043e\u0439\u043a\u0430 \u2013 bulgare<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/ca.wikipedia.org\/wiki\/Parell_ordenat\">Parell ordenat \u2013 catalan<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/ckb.wikipedia.org\/wiki\/%D8%AC%D9%88%D9%88%D8%AA%DB%95_%DA%95%DB%8E%DA%A9%D8%AE%D8%B1%D8%A7%D9%88\">\u062c\u0648\u0648\u062a\u06d5 \u0695\u06ce\u06a9\u062e\u0631\u0627\u0648 \u2013 sorani<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/de.wikipedia.org\/wiki\/Geordnetes_Paar\">Geordnetes Paar \u2013 allemand<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/el.wikipedia.org\/wiki\/%CE%94%CE%B9%CE%B1%CF%84%CE%B5%CF%84%CE%B1%CE%B3%CE%BC%CE%AD%CE%BD%CE%BF_%CE%B6%CE%B5%CF%8D%CE%B3%CE%BF%CF%82\">\u0394\u03b9\u03b1\u03c4\u03b5\u03c4\u03b1\u03b3\u03bc\u03ad\u03bd\u03bf \u03b6\u03b5\u03cd\u03b3\u03bf\u03c2 \u2013 grec<\/a><\/li><\/ol>\n<div class=\"feature-video\">\n <h2>\n  \u30ab\u30c3\u30d7\u30eb (\u6570\u5b66) &#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=\"\u300elog\u300f\u5bfe\u6570\u306b\u3064\u3044\u3066\uff5e\u4e2d\u5b66\u751f\u3067\u3082\u7406\u89e3\u3055\u305b\u307e\u3059\uff5e\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/_9awjv1a_Uo?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>\u6570\u5b66\u3067\u306f\u30012 \u3064\u306e\u30aa\u30d6\u30b8\u30a7\u30af\u30c8\u306e\u30da\u30a2\u3068\u306f\u3001\u3053\u308c\u3089 2 \u3064\u306e\u30aa\u30d6\u30b8\u30a7\u30af\u30c8\u3092\u6c7a\u3081\u3089\u308c\u305f\u9806\u5e8f\u3067\u4e26\u3079\u305f\u30c7\u30fc\u30bf\u3067\u3059\u3002 2 \u3064\u306e\u30aa\u30d6\u30b8\u30a7\u30af\u30c8a\u3068b\u306e\u30da\u30a2\u306f ( a , b ) \u3067\u8868\u3055\u308c\u307e\u3059\u3002 a\u3068b\u304c\u7570\u306a\u308b\u5834\u5408\u3001\u30da\u30a2 ( a , b [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":64502,"comment_status":"","ping_status":"","sticky":false,"template":"","format":"standard","meta":{"fifu_image_url":"https:\/\/img.youtube.com\/vi\/yhrUT4bLm7Q\/0.jpg","fifu_image_alt":"\u30ab\u30c3\u30d7\u30eb (\u6570\u5b66) - 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