{"id":47018,"date":"2024-01-06T13:47:50","date_gmt":"2024-01-06T13:47:50","guid":{"rendered":"https:\/\/science-hub.click\/%E9%80%A3%E5%88%86%E6%95%B0%E3%81%A8%E3%83%87%E3%82%A3%E3%82%AA%E3%83%95%E3%82%A1%E3%83%B3%E3%83%81%E3%83%B3%E8%BF%91%E4%BC%BC-%E5%AE%9A%E7%BE%A9\/"},"modified":"2024-01-06T13:47:50","modified_gmt":"2024-01-06T13:47:50","slug":"%E9%80%A3%E5%88%86%E6%95%B0%E3%81%A8%E3%83%87%E3%82%A3%E3%82%AA%E3%83%95%E3%82%A1%E3%83%B3%E3%83%81%E3%83%B3%E8%BF%91%E4%BC%BC-%E5%AE%9A%E7%BE%A9","status":"publish","type":"post","link":"https:\/\/science-hub.click\/?p=47018","title":{"rendered":"\u9023\u5206\u6570\u3068\u30c7\u30a3\u30aa\u30d5\u30a1\u30f3\u30c1\u30f3\u8fd1\u4f3c &#8211; \u5b9a\u7fa9"},"content":{"rendered":"<div><div><h2>\u5c0e\u5165<\/h2><div><div><figure class=\"wp-block-image size-large is-style-default\">\n<img decoding=\"async\" alt=\"\" class=\"aligncenter\" onerror=\"this.style.display=none;\" src=\"https:\/\/img.youtube.com\/vi\/mlDuYy40_Z0\/0.jpg\" style=\"width:100%;\"\/><\/figure><div>\u30a4\u30f3\u30c9\u306e\u6570\u5b66\u8005\u30a2\u30ea\u30e4\u30d0\u30fc\u30bf\u306f\u3001 <span title=\"\u30ed\u30fc\u30de\u6570\u5b57\u3067\u66f8\u304b\u308c\u305f\u6570\u5b57\">5<\/span><sup>\u4e16\u7d00<\/sup>\u306e\u9023\u5206\u6570\u3092\u4f7f\u7528\u3057\u3066\u69cb\u7bc9\u3055\u308c\u305f\u30c7\u30a3\u30aa\u30d5\u30a1\u30f3\u30c8\u30b9\u8fd1\u4f3c\u3092\u4f7f\u7528\u3057\u3066\u5e73\u65b9\u6839\u3092\u62bd\u51fa\u3057\u307e\u3057\u305f\u3002<\/div><\/div><\/div><p><span><a href=\"https:\/\/science-hub.click\/?p=66499\">\u6570\u5b66<\/a><\/span>\u3067\u306f\u3001\u30a4\u30f3\u30c7\u30c3\u30af\u30b9<i>n<\/i>\u306e<b>\u9023\u7d9a\u5206\u6570<\/b>\u3001\u3064\u307e\u308a<i>n<\/i>\u30b9\u30c6\u30c3\u30d7\u306b\u5236\u9650\u3055\u308c\u305f\u5206\u6570\u306e\u524a\u6e1b\u306f\u3001\u521d\u671f\u5024\u306e<b>\u30c7\u30a3\u30aa\u30d5\u30a1\u30f3\u30c8\u30b9\u8fd1\u4f3c<\/b>\u3067\u3059\u3002\u3088\u308a\u6b63\u78ba\u306b\u306f\u3001\u5076\u6570\u30e9\u30f3\u30af\u306e\u4e00\u9023\u306e\u524a\u6e1b\u306f\u30c7\u30d5\u30a9\u30eb\u30c8\u3067\u5b9f\u6570\u306b\u8fd1\u4f3c\u3057\u3001\u5947\u6570\u30e9\u30f3\u30af\u306e\u524a\u6e1b\u30b7\u30fc\u30b1\u30f3\u30b9\u306f\u8d85\u904e\u306b\u3088\u3063\u3066\u5b9f\u6570\u306b\u8fd1\u4f3c\u3057\u307e\u3059\u3002\u9006\u306b\u3001 <i>a<\/i> <sub>0<\/sub>\u304c\u6574\u6570\u3067\u3001 <i>n<\/i>\u304c<i>\u30bc\u30ed<\/i>\u3088\u308a\u5927\u304d\u3044\u5834\u5408\u306f<i>a<\/i> <sub>n \u304c<\/sub>\u53b3\u5bc6\u306b\u6b63\u306e\u6574\u6570\u3067\u3042\u308b\u3088\u3046\u306a\u30b7\u30fc\u30b1\u30f3\u30b9 ( <i>a<\/i> <sub>n<\/sub> ) \u3092\u8003\u616e\u3059\u308b\u3068\u3001 <i>a<\/i> <sub>n \u3092<\/sub>\u4fc2\u6570\u3068\u3057\u3066\u8a8d\u3081\u308b\u9023\u5206\u6570\u306e\u7e2e\u5c0f\u306e\u30b7\u30fc\u30b1\u30f3\u30b9\u306f a \u306b\u53ce\u675f\u3057\u307e\u3059\u3002\u6709\u9650\u6975\u9650<i>x<\/i> (\u6570\u5217\u304c\u7121\u9650\u3067\u3042\u308b\u5834\u5408\u306b\u306e\u307f\u7121\u7406\u6570\u5b9f\u6570) \u306e\u9023\u5206\u6570\u3068\u3057\u3066\u306e\u5c55\u958b ( <i>x<\/i>\u304c\u6709\u7406\u6570\u3067\u306f\u306a\u3044\u3053\u306e\u5834\u5408\u306b\u56fa\u6709) \u306f\u3001\u4fc2\u6570<i>a<\/i> <sub>n<\/sub>\u306e\u9023\u5206\u6570\u3067\u3059\u3002<\/p><p>\u63db\u7b97\u5206\u6570<i>h<\/i> <sub>n<\/sub> \/ <i>k<\/i> <sub>n<\/sub>\u306f\u3001\u3042\u308b<span><a href=\"https:\/\/science-hub.click\/?p=81037\">\u610f\u5473<\/a><\/span>\u3067<span><a href=\"https:\/\/science-hub.click\/?p=71097\">\u5b9f\u6570<\/a><\/span>\u306e\u6700\u826f\u306e\u6709\u7406\u8fd1\u4f3c\u3092\u63d0\u4f9b\u3057\u307e\u3059\u3002\u30a4\u30f3\u30c7\u30c3\u30af\u30b9<i>n<\/i>\u306e\u63db\u7b97\u5206\u6570\u306f\u3001 <i>x<\/i>\u304b\u3089\u306e\u8ddd\u96e2\u304c 1 \/ <i>k<\/i> <sub>n<\/sub> <sup>2<\/sup>\u3088\u308a\u5c0f\u3055\u3044\u8fd1\u4f3c\u3067\u3042\u308a\u3001\u5206\u6570\u306e\u5834\u5408\u3001 <i>p<\/i> \/ <i>q \u306f<\/i>\u3001 <i>x<\/i>\u304b\u3089 1 \/ 2 \u672a\u6e80\u306e\u8ddd\u96e2\u306b\u3042\u308b\u8fd1\u4f3c\u5024\u3067\u3059<i>\u3002q<\/i> <sup>2<\/sup>\u306e\u5834\u5408\u3001 <i>p<\/i> \/ <i>q \u306f<\/i><i>x<\/i>\u306e\u7e2e\u5c0f\u306b\u306a\u308a\u307e\u3059\u3002\u3053\u306e\u7d50\u679c\u306f<b>\u6700\u826f\u8fd1\u4f3c\u5b9a\u7406<\/b>\u3068\u547c\u3070\u308c\u307e\u3059\u3002<\/p><p>\u3053\u308c\u3089\u306e\u7d50\u679c\u306b\u306f\u5f71\u97ff\u304c\u306a\u3044\u308f\u3051\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u3002\u9023\u5206\u6570\u306f\u3001\u5e73\u65b9\u6839\u3084 \u03c0 \u306a\u3069\u306e\u7121\u7406\u6570\u3092\u8fd1\u4f3c\u3059\u308b\u305f\u3081\u306b\u4f7f\u7528\u3055\u308c\u307e\u3059\u3002\u3053\u306e\u7279\u6027\u306b\u3088\u308a\u3001\u30da\u30eb \u30d5\u30a7\u30eb\u30de\u30fc\u306e\u65b9\u7a0b\u5f0f\u306a\u3069\u306e\u7279\u5b9a\u306e\u30c7\u30a3\u30aa\u30d5\u30a1\u30f3\u30c8\u30b9\u65b9\u7a0b\u5f0f\u3092\u89e3\u304f\u3053\u3068\u304c\u53ef\u80fd\u306b\u306a\u308a\u307e\u3059\u3002\u307e\u305f\u3001<span>\u81ea\u7136\u5bfe\u6570\u306e\u5e95<\/span>\u3067\u3042\u308b<i>e<\/i>\u306e\u975e\u5408\u7406\u6027\u306e\u6700\u521d\u306e<span><a href=\"https:\/\/science-hub.click\/?p=52981\">\u8a3c\u660e<\/a><\/span>\u306e\u8d77\u6e90\u3068\u3057\u3066\u3001\u6570\u5024\u304c\u6709\u7406\u3067\u3042\u308b\u305f\u3081\u306e\u5fc5\u8981\u5341\u5206\u6761\u4ef6\u3082\u63d0\u4f9b\u3057\u307e\u3059\u3002\u3053\u308c\u306b\u3088\u308a\u3001\u3055\u3089\u306b\u5148\u306b\u9032\u3080\u3053\u3068\u304c\u3067\u304d\u3001\u9023\u5206\u6570\u3092\u4f7f\u7528\u3057\u3066\u5f97\u3089\u308c\u308b\u30c7\u30a3\u30aa\u30d5\u30a1\u30f3\u30c8\u30b9\u8fd1\u4f3c\u306e\u7279\u6027\u306b\u3088\u308a\u3001\u8d85\u8d8a\u3067\u3042\u308b\u3053\u3068\u304c\u8a3c\u660e\u3055\u308c\u305f\u6700\u521d\u306e\u6570\u5024\u3092\u69cb\u7bc9\u3057\u3001\u305d\u306e\u5f8c<i>e<\/i>\u3068 \u03c0 \u304c\u8d85\u8d8a\u3067\u3042\u308b\u3053\u3068\u3092\u793a\u3059\u3053\u3068\u304c\u53ef\u80fd\u306b\u306a\u308a\u307e\u3059\u3002<\/p><figure class=\"wp-block-image size-large is-style-default\">\n<img decoding=\"async\" alt=\"\u9023\u5206\u6570\u3068\u30c7\u30a3\u30aa\u30d5\u30a1\u30f3\u30c1\u30f3\u8fd1\u4f3c - \u5b9a\u7fa9\" class=\"aligncenter\" onerror=\"this.style.display=none;\" src=\"https:\/\/img.youtube.com\/vi\/0aVpzD-WJjE\/0.jpg\" style=\"width:100%;\"\/><\/figure><h2>\u524d\u6587<\/h2><h3><span>\u4e00\u822c\u7684\u306a<\/span><\/h3><p>\u6700\u3082\u5358\u7d14\u306a\u4f8b\u306f\u9023\u7d9a\u5206\u6570\u306e\u8a18\u4e8b\u306b\u3042\u308a\u3001\u6709\u7406\u6570\u306b\u95a2\u3059\u308b\u3082\u306e\u3067\u3059\u3002<span><a href=\"https:\/\/science-hub.click\/?p=105983\">\u6709\u7406\u6570<\/a><\/span><i>x<\/i>\u306f\u6b21\u306e\u3088\u3046\u306b\u8868\u3055\u308c\u307e\u3059\u3002 <\/p><center><div class=\"math-formual notranslate\">$$ { x = a_0 + \\cfrac 1{a_1 + \\cfrac 1{a_2 + \\frac 1{a_3 + \\frac 1{\\cdots + \\frac 1{a_n}}}}} = [a_0, a_1,a_2 ,a_3, \\cdots , a_n]} $$<\/div><\/center><p>\u5206\u6570\u68d2\u307e\u305f\u306f\u62ec\u5f27\u3092\u4f7f\u7528\u3057\u305f\u4e21\u65b9\u306e\u8868\u8a18\u306f\u3001\u540c\u3058\u3053\u3068\u3092\u610f\u5473\u3057\u307e\u3059\u3002 <i>p<\/i>\u304c<i>n<\/i>\u3088\u308a\u5c0f\u3055\u3044\u6574\u6570\u306e\u5834\u5408\u3001<b>\u30a4\u30f3\u30c7\u30c3\u30af\u30b9<i>p<\/i>\u306e\u4fc2\u6570<\/b>\u3068\u547c\u3070\u308c\u308b\u9805<i>a<\/i> <sub>p \u306f<\/sub>\u3001\u304a\u305d\u3089\u304f\u4efb\u610f\u306e\u6574\u6570\u3067\u3042\u308b<i>0<\/i><sub>\u3092<\/sub>\u9664\u304f\u3001\u53b3\u5bc6\u306b\u6b63\u306e\u6574\u6570\u3092\u793a\u3057\u307e\u3059\u3002\u9805<i>a<\/i> <sub>p<\/sub>\u3067\u7d42\u308f\u308b\u5206\u6570\u306f<b>\u30a4\u30f3\u30c7\u30c3\u30af\u30b9<i>p<\/i>\u306e\u7e2e\u5c0f\u3055\u308c\u305f\u3082\u306e<\/b>\u3067\u3001 1\/ <i>x<\/i> <sub>p+1<\/sub>\u304c<i>x<\/i>\u306e\u6b63\u78ba\u306a\u5024\u3092\u53d6\u5f97\u3059\u308b\u305f\u3081\u306b\u5f0f\u3067<i>a<\/i> <sub>p<\/sub>\u306b\u8ffd\u52a0\u3059\u308b\u88dc\u6570\u3067\u3042\u308b\u5834\u5408\u3001 <i>x<\/i> <sub>p+1<\/sub>\u304c\u547c\u3073\u51fa\u3055\u308c\u307e\u3059\u3002<b>\u30a4\u30f3\u30c7\u30c3\u30af\u30b9<i>p<\/i> + 1 \u306e\u5b8c\u5168\u306a\u5546<\/b>\u3002\u7d50\u679c\u306f\u6b21\u306e\u7b49\u4fa1\u306b\u306a\u308a\u307e\u3059\u3002 <\/p><center><div class=\"math-formual notranslate\">$$ { x = [a_0, a_1, a_2, \\cdots , a_p, x_{p+1}]} $$<\/div><\/center><p>\u3053\u306e\u6982\u5ff5\u306f\u6709\u7406\u6570\u306b\u9650\u5b9a\u3055\u308c\u308b\u3082\u306e\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u3002 <i>x<\/i>\u304c<span><a href=\"https:\/\/science-hub.click\/?p=5442\">\u7121\u7406\u6570<\/a><\/span>\u306e\u5834\u5408\u3001\u4fc2\u6570\u306e\u5217\u306f\u7121\u9650\u3068\u306a\u308a\u3001\u524a\u6e1b\u3055\u308c\u305f\u4fc2\u6570\u306e\u5217\u304c\u4ea4\u4e92\u306b<i>x<\/i>\u306b\u53ce\u675f\u3057\u307e\u3059\u3002\u8ca0\u307e\u305f\u306f\u30bc\u30ed\u306e\u53ef\u80fd\u6027\u304c\u3042\u308b<i>0<\/i><sub>\u3092<\/sub>\u9664\u304f\u3001\u53b3\u5bc6\u306b\u6b63\u306e\u6574\u6570<i>a<\/i> <sub>n<\/sub>\u306e\u30b7\u30fc\u30b1\u30f3\u30b9\u306b\u3064\u3044\u3066\u306f\u3001\u4fc2\u6570<i>a<\/i> <sub>n \u3092<\/sub>\u4f7f\u7528\u3057\u3066\u69cb\u7bc9\u3055\u308c\u305f\u30ea\u30c0\u30af\u30b7\u30e7\u30f3\u306e\u30b7\u30fc\u30b1\u30f3\u30b9\u306f\u3001\u9023\u5206\u6570\u304c\u4fc2\u6570<i>a<\/i>\u3067\u69cb\u6210\u3055\u308c\u308b<span><a href=\"https:\/\/science-hub.click\/?p=93137\">\u5b9f\u6570<\/a><\/span><i>r<\/i>\u306b\u53ce\u675f\u3057\u307e\u3059\u3002 <sub>n<\/sub> \u3002\u3053\u306e\u6027\u8cea\u306e\u7c21\u5358\u306a\u4f8b\u306f\u3001\u300c\u4e8c\u6b21\u6570\u306e\u9023\u5206\u6570\u300d\u306e\u8a18\u4e8b\u3067\u63d0\u6848\u3055\u308c\u3066\u3044\u307e\u3059\u3002\u4e8c\u6b21\u6570\u306f\u3001\u6709\u7406\u4fc2\u6570\u3092\u3082\u3064<span>\u4e8c\u6b21<\/span><span><a href=\"https:\/\/science-hub.click\/?p=66517\">\u65b9\u7a0b\u5f0f<\/a><\/span>\u306e\u89e3\u3067\u3059\u3002\u6570\u5024<i>x<\/i>\u306e\u9023\u5206\u6570\u306f\u3001 <i>x<\/i>\u304c 2 \u6b21\u3067\u3042\u308b\u5834\u5408\u306b\u9650\u308a\u3001\u7279\u5b9a\u306e<span><a href=\"https:\/\/science-hub.click\/?p=23588\">\u968e\u6570<\/a><\/span>\u304b\u3089\u5468\u671f\u7684\u306b\u306a\u308a\u307e\u3059\u3002<\/p><p>\u3044\u304f\u3064\u304b\u306e\u7d50\u679c\u306f\u975e\u5e38\u306b\u5f79\u7acb\u3061\u307e\u3059\u3002\u8a73\u7d30\u306a\u8a18\u4e8b\u3067\u5b9f\u8a3c\u3055\u308c\u3066\u3044\u307e\u3059\u3002 <i>h<\/i> <sub>n<\/sub> \/ <i>k<\/i> <sub>n \u304c<\/sub>\u6b21\u6570<i>n<\/i>\u306e\u7e2e\u5c0f\u3092\u6307\u5b9a\u3059\u308b\u5834\u5408\u3001\u6b21\u306e\u6f38\u5316\u5f0f\u304c\u6210\u308a\u7acb\u3061\u307e\u3059\u3002 <\/p><center><div class=\"math-formual notranslate\">$$ {h_{n+1} = a_{n+2}h_{n+1} + h_n,\\quad k_{n+1} = a_{n+2}k_{n+1} + k_n\\quad\\text{et}\\quad \\left[a_0, a_1, \\,\\dots, a_{n-1}, x_n \\right]= \\frac{x_n h_{n-1}+h_{n-2}} {x_n k_{n-1}+k_{n-2}}} $$<\/div><\/center><p>\u3053\u308c\u306f\u3001reduced \u306e\u5206\u5b50\u3068\u5206\u6bcd\u304c\u3001<span><a href=\"https:\/\/science-hub.click\/?p=96157\">\u7121\u9650\u5927<\/a><\/span>\u306b\u5411\u304b\u3046 2 \u3064\u306e\u30b7\u30fc\u30b1\u30f3\u30b9\u3092\u5f62\u6210\u3057\u3066\u3044\u308b\u3053\u3068\u3092\u793a\u3057\u3066\u3044\u307e\u3059\u3002\u307e\u3060\u6b21\u306e\u3088\u3046\u306a\u7d50\u679c\u304c\u5f97\u3089\u308c\u3066\u3044\u307e\u3059\u3002 <\/p><center><div class=\"math-formual notranslate\">$$ {k_nh_{n-1}-k_{n-1}h_n=(-1)^n,\\quad  x &#8211; \\frac{h_n}{k_n}= \\frac{(-1)^n}{k_n(k_{n-1} + x_{n+1}k_n)},\\quad \\frac{h_n}{k_n}-\\frac{h_{n-1}}{k_{n-1}} = \\frac{(-1)^{n+1}}{k_nk_{n-1}}} $$<\/div><\/center><h3><span>\u4f8b\u3001\u81ea\u7136\u5bfe\u6570\u306e\u5e95<\/span><\/h3><div><div><figure class=\"wp-block-image size-large is-style-default\">\n<img decoding=\"async\" alt=\"\" class=\"aligncenter\" onerror=\"this.style.display=none;\" src=\"https:\/\/img.youtube.com\/vi\/GsSDNcZdCFk\/0.jpg\" style=\"width:100%;\"\/><\/figure><div><span><a href=\"https:\/\/science-hub.click\/?p=48545\">\u30ec\u30aa\u30f3\u30cf\u30eb\u30c8\u30fb\u30aa\u30a4\u30e9\u30fc\u306f<\/a><\/span>\u9023\u5206\u6570\u306e\u6027\u8cea\u3092\u5229\u7528\u3057\u3066 e \u304c\u7121\u7406\u6570\u3067\u3042\u308b\u3053\u3068\u3092\u793a\u3057\u307e\u3057\u305f\u3002<\/div><\/div><\/div><p>\u30ec\u30aa\u30f3\u30cf\u30eb\u30c8\u30fb\u30aa\u30a4\u30e9\u30fc\u306f\u3001\u81ea\u7136\u5bfe\u6570\u306e\u5e95\u3067\u3042\u308b\u6570\u5024<i>e<\/i>\u306e\u9023\u5206\u6570\u3068\u3057\u3066\u5f0f\u3092\u6c42\u3081\u307e\u3057\u305f\u3002\u3053\u308c\u3092\u884c\u3046\u305f\u3081\u306b\u3001\u5f7c\u306f\u9023\u5206\u6570\u306e\u5f62\u5f0f\u3067<span><a href=\"https:\/\/science-hub.click\/?p=37668\">\u6307\u6570<\/a><\/span>\u95a2\u6570\u306e\u5f0f\u3092\u78ba\u7acb\u3059\u308b\u3053\u3068\u304b\u3089\u59cb\u3081\u307e\u3059\u3002 <\/p><center><div class=\"math-formual notranslate\">$$ {\\exp(x) = 1 + x + \\frac{\\frac 12x^2\\mid}{\\mid 1-\\frac 13x} + \\frac{\\frac 1{36}x^2 \\mid}{\\mid 1-\\frac 1{15}x} + \\cdots + \\frac{\\alpha_n(x) \\mid}{\\mid \\beta_n(x)} + \\cdots\\quad \\alpha_n(x) = \\frac {x^2}{4(2n-3)^2} \\quad \\beta_n(x) = 1 &#8211; \\frac x{(2n-1)(2n-3)}} $$<\/div><\/center><p>\u3053\u306e\u6027\u8cea\u306e\u5f0f\u306f\u3001<b>\u30d1\u30c7\u8fd1\u4f3c<\/b>\u3068\u547c\u3070\u308c\u307e\u3059\u3002\u524d\u306e\u5f0f\u3067\u306f\u3001 <i>e \u3092<\/i>\u9023\u5206\u6570\u306e\u5f62\u5f0f\u3067\u8868\u73fe\u3067\u304d\u307e\u3059\u3002 <\/p><center><div class=\"math-formual notranslate\">$$ {\\text{e} = [2,\\overbrace{1,2,1},\\overbrace{1,4,1},\\cdots , \\overbrace{1,2p,1},\\cdots \\,] = [2,\\overline{1, 2p,1}]\\quad p \\in \\mathbb N &#8211; \\{0\\}} $$<\/div><\/center><p>\u3053\u3053\u3067\u4f7f\u7528\u3055\u308c\u308b\u30d0\u30fc\u306f\u3088\u304f\u4f7f\u7528\u3055\u308c\u308b\u8868\u8a18\u3067\u3059\u3002\u3053\u308c\u306f\u3001\u30d0\u30fc\u3067\u56f2\u307e\u308c\u305f\u4e00\u9023\u306e\u6574\u6570\u304c\u7121\u9650\u306b\u7e70\u308a\u8fd4\u3055\u308c\u308b\u3053\u3068\u3092\u610f\u5473\u3057\u307e\u3059\u3002\u305d\u3053\u3067\u898b\u3089\u308c\u308b\u6700\u521d\u306e\u95a2\u5fc3\u306f\u3001 <i>e<\/i>\u306e\u8fd1\u4f3c\u5024\u3092\u53d6\u5f97\u3059\u308b\u3068\u3044\u3046\u4e8b\u5b9f\u3067\u3059\u3002 2 \u306e\u63db\u7b97\u6b21\u6570\u306f 2.75 \u306b\u7b49\u3057\u304f\u3001\u6b21\u6570 10 \u306e\u6b21\u6570\u306f\u6709\u52b9\u6570\u5b57 7 \u6841\u306b\u306a\u308a\u307e\u3059\u3002\u305f\u3060\u3057\u3001\u30b7\u30ea\u30fc\u30ba\u5168\u4f53\u3092\u4f7f\u7528\u3059\u308b\u30a2\u30d7\u30ed\u30fc\u30c1\u3067\u306f\u3001\u3088\u308a\u5c11\u306a\u3044\u52b4\u529b\u3067\u540c\u69d8\u306e\u7d50\u679c\u304c\u5f97\u3089\u308c\u307e\u3059\u3002\u30aa\u30a4\u30e9\u30fc\u306f\u3001 <i>e<\/i>\u306e\u9023\u5206\u6570\u8868\u73fe\u304c\u7121\u9650\u3067\u3042\u308b\u3053\u3068\u306b\u6ce8\u76ee\u3057\u307e\u3059\u3002\u3053\u308c\u306f\u5fc5\u8981\u306a\u6761\u4ef6\u3067\u3042\u308a\u3001\u5f7c\u306e\u5b9f\u8a3c\u306e\u76ee\u7684\u3067\u3042\u308b<i>e<\/i>\u304c\u6709\u7406\u6570\u3067\u306f\u306a\u3044\u3053\u3068\u3092\u793a\u3059\u306e\u306b\u5341\u5206\u3067\u3059\u3002\u305d\u308c\u306b\u3082\u304b\u304b\u308f\u3089\u305a\u3001\u3053\u306e\u7d50\u679c\u306e\u3088\u308a\u7c21\u5358\u306a\u5b9f\u8a3c\u3092\u898b\u3064\u3051\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u4f8b\u306f\u8a18\u4e8b e (\u756a\u53f7) \u3067\u63d0\u6848\u3055\u308c\u3066\u3044\u307e\u3059\u3002\u3053\u306e\u7d50\u679c\u306b\u3088\u308a\u3001 <i>e<\/i>\u306f\u9023\u5206\u6570\u3067\u306e\u5c55\u958b\u304c\u5468\u671f\u7684\u3067\u306f\u306a\u3044\u305f\u3081\u3001\u6709\u7406\u4fc2\u6570\u3092\u3082\u3064 2 \u6b21\u65b9\u7a0b\u5f0f\u306e\u89e3\u3067\u306f\u306a\u3044\u3053\u3068\u304c\u8a3c\u660e\u3055\u308c\u3001\u3082\u3046\u5c11\u3057\u9032\u3081\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u3053\u306e\u7a2e\u306e\u30a2\u30d7\u30ed\u30fc\u30c1\u3067\u306f\u3001\u3055\u3089\u306b\u5148\u306b\u9032\u3080\u3053\u3068\u306f\u3067\u304d\u307e\u305b\u3093\u3002\u305f\u3068\u3048\u3070\u3001 <i>e<\/i>\u306e\u8d85\u8d8a\u6027\u3092\u793a\u3059\u306b\u306f\u3001\u65b0\u3057\u3044\u30a2\u30a4\u30c7\u30a2\u304c\u5fc5\u8981\u3067\u3059\u3002<\/p><p>\u3053\u308c\u3089\u306e\u5236\u9650\u306b\u3082\u304b\u304b\u308f\u3089\u305a\u3001 <i>e<\/i>\u306b\u53ce\u675f\u3059\u308b\u6709\u7406\u6570\u5217\u3092\u63d0\u4f9b\u3059\u308b\u9023\u5206\u6570\u306b\u306f\u3001\u6975\u9650\u306e<span><a href=\"https:\/\/science-hub.click\/?p=63579\">\u7b97\u8853\u7684<\/a><\/span>\u6027\u8cea\u306b\u95a2\u3059\u308b\u60c5\u5831\u304c\u8c4a\u5bcc\u306b\u542b\u307e\u308c\u3066\u3044\u307e\u3059\u3002\u8a18\u4e8b\u306e\u6b8b\u308a\u306e\u90e8\u5206\u3067\u306f\u3001\u305f\u3068\u3048\u3070\u3001 <i>t<\/i>\u304c\u6709\u7406\u6570\u3067\u3042\u308b\u5834\u5408\u3001 <i>e<\/i> <sup>t \u306f<\/sup>\u6709\u7406\u6570\u3067\u306f\u306a\u3044\u3053\u3068\u3092\u793a\u3057\u307e\u3059\u3002\u3053\u306e\u30a2\u30d7\u30ed\u30fc\u30c1\u306f\u3001\u8a3c\u660e\u306e\u539f\u70b9\u306b\u304a\u3044\u3066\u3001\u03c0 \u306e\u7121\u7406\u6027\u3092\u78ba\u7acb\u3059\u308b\u3053\u3068\u3082\u53ef\u80fd\u306b\u3057\u307e\u3059\u3002<\/p><div align=\"left\"><div title=\"[\u62e1\u5927\u3059\u308b]\"><div align=\"left\"><dl><dd><ul><li><b>\u30a2\u30d7\u30ed\u30fc\u30c1\uff1a<\/b><\/li><\/ul><\/dd><\/dl><p>\u3053\u3053\u3067\u4f7f\u7528\u3055\u308c\u308b\u30a2\u30d7\u30ed\u30fc\u30c1\u306f\u3001\u9023\u5206\u6570\u3068\u3057\u3066\u4fc2\u6570 2\u30011\u30012\u30011\u30011\u30014\u30011\u3001&#8230; \u3092\u6301\u3064\u6570\u5024\u306e\u5024\u3092\u8abf\u3079\u308b\u3053\u3068\u304b\u3089\u69cb\u6210\u3055\u308c\u307e\u3059\u3002\u9023\u5206\u6570\u306b\u95a2\u3059\u308b\u8a18\u4e8b\u306f\u3001\u63db\u7b97\u3055\u308c\u305f\u5206\u6570\u5217 ( <i>h<\/i> <sub>n<\/sub> \/ <i>k<\/i> <sub>n<\/sub> ) \u304c\u53ce\u675f\u3059\u308b\u3053\u3068\u3001\u305d\u306e\u6975\u9650<i>x<\/i>\u304c\u9023\u5206\u6570\u3067\u306e\u5c55\u958b\u306b\u4f7f\u7528\u3055\u308c\u308b\u4fc2\u6570\u306e\u5024\u3092\u8a31\u5bb9\u3059\u308b\u3053\u3068\u3001\u304a\u3088\u3073\u9023\u5206\u6570\u3092\u6b63\u78ba\u306b\u6301\u3064\u5b9f\u6570\u304c 1 \u3064\u3060\u3051\u5b58\u5728\u3059\u308b\u3053\u3068\u3092\u793a\u3057\u3066\u3044\u307e\u3059\u3002\u4f7f\u7528\u3055\u308c\u308b\u4fc2\u6570\u306e\u30b7\u30fc\u30b1\u30f3\u30b9\u3002<\/p><p>\u63db\u7b97\u3055\u308c\u305f\u5206\u6570\u306e\u30b7\u30fc\u30b1\u30f3\u30b9\u306e\u6975\u9650\u3092\u898b\u3064\u3051\u308b\u306b\u306f\u3001\u62bd\u51fa\u3055\u308c\u305f\u30b7\u30fc\u30b1\u30f3\u30b9\u306e\u6975\u9650\u3092\u898b\u3064\u3051\u308b\u3060\u3051\u3067\u5341\u5206\u3067\u3059\u3002\u9023\u5206\u6570\u306e<i>\u6e96\u5468\u671f\u7684\u306a<\/i>\u5074\u9762\u306b\u3088\u308a\u3001\u30b7\u30fc\u30b1\u30f3\u30b9 ( <i>h<\/i> <sub>3p<\/sub> \/ <i>k<\/i> <sub>3p<\/sub> ) \u3092\u8003\u616e\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p><dl><dd><ul><li><b>\u30de\u30c8\u30ea\u30c3\u30af\u30b9\uff1a<\/b><\/li><\/ul><\/dd><\/dl><p>\u4efb\u610f\u306e\u9023\u5206\u6570\u306b\u304a\u3044\u3066\u3001 <i>h<\/i> <sub>n<\/sub>\u3068<i>k<\/i> <sub>n \u306f<\/sub>\u7dda\u5f62\u6f38\u5316\u95a2\u4fc2\u3092\u6e80\u305f\u3057\u3001<span><a href=\"https:\/\/science-hub.click\/?p=9134\">\u30d5\u30a3\u30dc\u30ca\u30c3\u30c1<\/a><\/span>\u6570\u5217\u306e\u95a2\u4fc2\u3092\u4e00\u822c\u5316\u3057\u307e\u3059\u3002\u3053\u306e\u95a2\u4fc2\u306f 2&#215;2 \u884c\u5217\u306e\u5f62\u5f0f\u3067\u8868\u3055\u308c\u307e\u3059\u3002 <\/p><center><div class=\"math-formual notranslate\">$$ {\\forall n \\in \\mathbb N -\\{0\\}\\quad \\begin{pmatrix} a_n &amp; 1 \\\\ 1 &amp; 0 \\end{pmatrix} \\binom{h_{n-1}}{h_{n-2}} = \\binom{h_{n}}{h_{n-1}}\\quad \\text{et}\\quad \\begin{pmatrix} a_n &amp; 1 \\\\ 1 &amp; 0 \\end{pmatrix} \\binom{k_{n-1}}{k_{n-2}} = \\binom{k_{n}}{k_{n-1}}} $$<\/div><\/center><p>\u3053\u3053\u3067\u7814\u7a76\u3057\u305f\u9023\u5206\u6570\u306e\u6e96\u5468\u671f\u6027\u306f\u3001\u6b21\u306e\u5b9a\u7fa9\u3092\u6b63\u5f53\u5316\u3057\u307e\u3059\u3002 <\/p><center><div class=\"math-formual notranslate\">$$ {\\forall p \\in \\mathbb N \\quad N_p(1) = \\begin{pmatrix} 1 &amp; 1 \\\\ 1 &amp; 0 \\end{pmatrix} \\begin{pmatrix} 2p &amp; 1 \\\\ 1 &amp; 0 \\end{pmatrix} \\begin{pmatrix} 1 &amp; 1 \\\\ 1 &amp; 0 \\end{pmatrix} = \\begin{pmatrix} 2p+2 &amp; 2p+1 \\\\ 2p+1 &amp; 2p \\end{pmatrix},} $$<\/div><\/center><center><div class=\"math-formual notranslate\">$$ {M_p(1) = N_p(1)\\times\\cdots\\times N_0(1).} $$<\/div><\/center><p>\u30b7\u30fc\u30b1\u30f3\u30b9<i>M<\/i> <sub>p<\/sub> (1) \u306b\u5bfe\u3057\u3066\u6b21\u306e\u6700\u521d\u306e\u5024\u3092\u898b\u3064\u3051\u307e\u3059\u3002 <\/p><center><div class=\"math-formual notranslate\">$$ {M_0(1)=\\begin{pmatrix} 2 &amp; 1 \\\\ 1 &amp; 0 \\end{pmatrix},\\quad M_1(1)=\\begin{pmatrix} 11 &amp; 4 \\\\ 8 &amp; 3 \\end{pmatrix}, \\quad M_2(1)=\\begin{pmatrix} 106 &amp; 39 \\\\ 87 &amp; 32 \\end{pmatrix}} $$<\/div><\/center><p>\u5358\u7d14\u306a\u6f38\u5316\u5f0f\u306f\u3001\u884c\u5217<i>M<\/i> <sub>p<\/sub> (1) \u306e\u6700\u521d\u306e\u884c\u304c\u4fc2\u6570 ( <i>h<\/i> <sub>3p<\/sub> , <i>k<\/i> <sub>3p<\/sub> ) \u306b\u5bfe\u5fdc\u3057\u30012 \u756a\u76ee\u306e\u884c\u304c ( <i>h<\/i> <sub>3p-1<\/sub> , <i>k<\/i> <sub>3p-1<\/sub> ) \u306b\u5bfe\u5fdc\u3059\u308b\u3053\u3068\u3092\u793a\u3057\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u3053\u306e\u5b9f\u8a3c\u306f\u3001\u884c\u5217\u306e\u6700\u521d\u306e\u884c\u306e\u9805\u306b\u3088\u3063\u3066\u5f62\u6210\u3055\u308c\u308b\u5206\u6570\u304c\u305d\u306e\u9650\u754c\u3068\u3057\u3066\u5bfe\u6570\u306e\u5e95\u3092\u6301\u3064\u3053\u3068\u3092\u793a\u3059\u3053\u3068\u306b\u9650\u5b9a\u3055\u308c\u307e\u3059\u3002<\/p><dl><dd><ul><li><b>\u30d1\u30c7\u8fd1\u4f3c<\/b><\/li><\/ul><\/dd><\/dl><p>\u6307\u6570\u95a2\u6570\u306b\u306f\u5f37\u529b\u306a\u5206\u6790\u7279\u6027\u304c\u3042\u308a\u307e\u3059\u3002\u3053\u308c\u3089\u306e\u7279\u6027\u306f\u5b9f\u8a3c\u3092\u5b9f\u884c\u3059\u308b\u305f\u3081\u306b\u4e0d\u53ef\u6b20\u3067\u3042\u308a\u3001\u3053\u306e\u30a2\u30d7\u30ed\u30fc\u30c1\u306f\u30d1\u30c7\u8fd1\u4f3c\u306e\u6982\u5ff5\u306e\u57fa\u790e\u3067\u3059\u3002 1 \u3064\u306e\u65b9\u6cd5\u306f\u3001 <i>M<\/i> <sub>p<\/sub> (t) \u884c\u5217\u3092\u524d\u306e<span><a href=\"https:\/\/science-hub.click\/?p=74671\">\u5b9a\u7fa9<\/a><\/span>\u306e<span><a href=\"https:\/\/science-hub.click\/?p=7924\">\u4e00\u822c\u5316<\/a><\/span>\u3068\u3057\u3066\u8003\u616e\u3059\u308b\u3053\u3068\u3067\u3059\u3002\u3053\u308c\u3089\u306f\u3001\u5b9f\u6570\u306e\u4fc2\u6570\u3092\u6301\u3064 2&#215;2 \u884c\u5217\u306e\u7a7a\u9593\u5185\u306e<span><a href=\"https:\/\/science-hub.click\/?p=57227\">\u4e00\u9023<\/a><\/span>\u306e\u5b9f\u6570\u306e\u95a2\u6570\u3092\u8868\u3057\u307e\u3059\u3002\u884c\u5217\u306e\u5404\u4fc2\u6570\u306f<span><a href=\"https:\/\/science-hub.click\/?p=35323\">\u591a\u9805\u5f0f<\/a><\/span>\u3067\u3059\u3002\u6b63\u78ba\u306a\u5b9a\u7fa9\u306f\u6b21\u306e\u3068\u304a\u308a\u3067\u3059\u3002 <\/p><center><div class=\"math-formual notranslate\">$$ {\\forall p \\in \\mathbb N \\quad N_p(t) = \\begin{pmatrix} 2p+1 + t &amp; 2p+1 \\\\ 2p+1 &amp; 2p+1 &#8211; t \\end{pmatrix},} $$<\/div><\/center><center><div class=\"math-formual notranslate\">$$ { M_p(t) = N_p(t)\\times\\cdots\\times N_0(t)= \\begin{pmatrix} f_p(t) &amp; g_p(t) \\\\ g_p(-t) &amp; f_p(-t) \\end{pmatrix}} $$<\/div><\/center><p> <i>t<\/i>\u304c 1 \u306b\u7b49\u3057\u3044\u5834\u5408\u3001\u524d\u306e\u884c\u5217\u5f0f\u304c\u898b\u3064\u304b\u308a\u307e\u3059\u3002\u3053\u306e\u610f\u5473\u3067\u306f\u3001\u3053\u308c\u3089\u306f\u78ba\u304b\u306b\u4e00\u822c\u5316\u3067\u3059\u3002\u884c\u5217<i>N<\/i> <sub>p<\/sub> ( <i>t<\/i> ) \u306e\u5b9a\u7fa9\u306b\u3088\u308a\u3001\u5e30\u7d0d\u6cd5\u306b\u3088\u308a\u6b21\u306e\u5f0f\u304c\u5f97\u3089\u308c\u307e\u3059\u3002 <\/p><center><div class=\"math-formual notranslate\">$$ {f_p(t) =(2p+1 + t) f_{p-1}(t) + (2p +1)g_{p-1}(-t) \\quad\\text{et}\\quad g_p(t) =(2p+1 + t) g_{p-1}(t) + (2p +1)f_{p-1}(-t)} $$<\/div><\/center><p>\u5b9f\u969b\u3001 <i>f<\/i> <sub>p<\/sub> (t) \u3068<i>g<\/i> <sub>p<\/sub> (t) \u304c\u884c\u5217<i>M<\/i> <sub>p<\/sub> (t) \u306e\u6700\u521d\u306e\u884c\u306e\u4fc2\u6570\u3092\u6307\u5b9a\u3059\u308b\u5834\u5408\u30012 \u756a\u76ee\u306e\u884c\u306e\u4fc2\u6570\u306f<i>g<\/i> <sub>p<\/sub> (-t) \u3068<i>f<\/i> <sub>p<\/sub> ( -t)\u3002\u30b7\u30fc\u30b1\u30f3\u30b9 ( <i>f<\/i> <sub>p<\/sub> (t)) \u304a\u3088\u3073 ( <i>g<\/i> <sub>p<\/sub> (t)) \u306e\u6700\u521d\u306e\u5f0f\u306b\u3064\u3044\u3066\u306f\u3001\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002 <\/p><center><div class=\"math-formual notranslate\">$$ {\\begin{align} f_0(t) &amp;= 1+ t,  &amp; f_1(t) &amp;= 6 + 4t + t^2, &amp; f_2(t) &amp;= 60 + 36t + 9t^2 + t^3 \\\\ g_0(t) &amp;= 1, &amp; g_1(t) &amp;= 6 &#8211; 2t &amp; g_2(t) &amp;= 60 &#8211; 24t + 3t^2\\end{align}} $$<\/div><\/center><p>\u3057\u305f\u304c\u3063\u3066\u3001\u5206\u6570<i>f<\/i> <sub>p<\/sub> (t) \/ <i>g<\/i> <sub>p<\/sub> (t) \u304c\u6307\u6570\u95a2\u6570\u306b\u53ce\u675f\u3059\u308b\u3053\u3068\u3092\u8a3c\u660e\u3067\u304d\u308c\u3070\u5341\u5206\u3067\u3059\u3002\u3053\u306e\u8a3c\u660e\u306f\u3001\u30d1\u30c7\u306b\u3088\u308b\u8ad6\u6587\u300c\u8fd1\u4f3c\u300d\u306b\u8a18\u8f09\u3055\u308c\u3066\u3044\u307e\u3059\u3002<\/p><\/div><\/div><\/div><h3><span>\u6b74\u53f2\u306e\u65ad\u7247<\/span><\/h3><p>\u9023\u5206\u6570\u3092\u4f7f\u7528\u3057\u3066\u6570\u5024\u3092\u8fd1\u4f3c\u3059\u308b\u3068\u3044\u3046\u8003\u3048\u306f\u3001\u305d\u306e\u6982\u5ff5\u306e\u8d77\u6e90\u3067\u3042\u308b<span title=\"\u30ed\u30fc\u30de\u6570\u5b57\u3067\u66f8\u304b\u308c\u305f\u6570\u5b57\">5<\/span><sup>\u4e16\u7d00<\/sup>\u306e\u30a4\u30f3\u30c9\u306b\u307e\u3067\u9061\u308a\u307e\u3059\u3002\u30d9\u30ba\u30fc\u306e\u30a2\u30a4\u30c7\u30f3\u30c6\u30a3\u30c6\u30a3\u306e\u89e3\u6c7a\u306b\u3088\u308a\u3001\u3053\u308c\u304c\u305d\u306e\u3088\u3046\u306a\u6982\u5ff5\u306e<span><a href=\"https:\/\/science-hub.click\/?p=61221\">\u4f7f\u7528<\/a><\/span><span>\u3092\u63a8\u9032\u3059\u308b<\/span>\u6700\u521d\u306e<span>\u52d5\u6a5f<\/span>\u306b\u306a\u308a\u307e\u3059\u3002 Aryabhata \u306f\u4e21\u65b9\u306e\u76ee\u7684\u3067\u3053\u308c\u3092\u4f7f\u7528\u3057\u307e\u3059\u304c\u3001\u7279\u306b\u5e73\u65b9\u6839\u306e\u62bd\u51fa\u306b\u4f7f\u7528\u3057\u307e\u3059\u3002<\/p><p>\u9023\u5206\u6570\u306e\u8fd1\u4f3c\u7279\u6027\u306f\u3001\u30e9\u30d5\u30a1\u30a8\u30eb \u30dc\u30f3\u30d9\u30ea\u306b\u3088\u3063\u3066 13 \u306e\u6839\u3067\u5076\u7136\u767a\u898b\u3055\u308c\u3001\u305d\u306e\u5f8c\u30d4\u30a8\u30c8\u30ed \u30a2\u30f3\u30c8\u30cb\u30aa \u30ab\u30bf\u30eb\u30c7\u30a3\u306b\u3088\u3063\u3066\u3059\u3079\u3066\u306e\u5e73\u65b9\u6839\u306b\u4e00\u822c\u5316\u3055\u308c\u307e\u3057\u305f\u3002 William Brouncker \u306f\u3001\u3053\u306e\u65b9\u6cd5\u3092\u4f7f\u7528\u3057\u3066\u3001\u5c0f\u6570\u70b9\u4ee5\u4e0b 10 \u6841\u307e\u3067\u6b63\u78ba\u306a \u03c0 \u306e\u8fd1\u4f3c\u5024\u3092\u53d6\u5f97\u3057\u307e\u3059\u3002\u30ec\u30aa\u30f3\u30cf\u30eb\u30c8\u30fb\u30aa\u30a4\u30e9\u30fc\u306f\u3001\u3053\u306e\u65b9\u6cd5\u306e\u7406\u8ad6\u7684\u5074\u9762\u3092\u958b\u767a\u3057\u307e\u3057\u305f\u3002\u3053\u308c\u306f\u3001<span><a href=\"https:\/\/science-hub.click\/?p=95765\">\u4efb\u610f<\/a><\/span>\u306e\u5b9f\u6570\u304c\u5358\u7d14\u306a\u9023\u5206\u6570\u3078\u306e\u4e00\u610f\u306e\u5c55\u958b\u3092\u8a31\u5bb9\u3059\u308b\u3053\u3068\u3001\u304a\u3088\u3073\u3053\u306e\u9023\u5206\u6570\u304c\u7121\u9650<span><a href=\"https:\/\/science-hub.click\/?p=17420\">\u9577<\/a><\/span>\u3067\u3042\u308b\u5834\u5408\u306b\u9650\u308a\u3001\u305d\u308c\u304c\u7121\u7406\u6570\u3067\u3042\u308b\u3053\u3068\u3092\u793a\u3057\u3066\u3044\u307e\u3059\u3002\u5f7c\u306f\u3001\u81ea\u7136\u5bfe\u6570\u306e\u5e95<i>e<\/i>\u3092\u6c7a\u5b9a\u3059\u308b\u3001\u73fe\u5728\u3067\u306f\u30d1\u30c7\u306e\u8fd1\u4f3c\u6cd5\u3068\u3057\u3066\u77e5\u3089\u308c\u3066\u3044\u308b\u65b9\u6cd5\u3092\u767a\u660e\u3057\u307e\u3057\u305f\u3002\u3053\u308c\u304c\u5f7c\u306e\u975e\u5408\u7406\u6027\u306e\u6700\u521d\u306e\u5b9f\u8a3c\u3068\u306a\u308a\u307e\u3057\u305f\u3002<span><a href=\"https:\/\/science-hub.click\/?p=42382\">\u30e8\u30cf\u30f3\u30fb\u30cf\u30a4\u30f3\u30ea\u30d2\u30fb\u30e9\u30f3\u30d9\u30eb\u30c8\u306f<\/a><\/span>\u3055\u3089\u306b<span><a href=\"https:\/\/science-hub.click\/?p=68941\">\u63a2\u7a76<\/a><\/span>\u3092\u9032\u3081\u3001\u03c0\u3082\u6709\u7406\u7684\u3067\u306f\u306a\u3044\u3053\u3068\u3092\u793a\u3057\u307e\u3057\u305f\u3002<\/p><p>\u6570\u5024\u306e\u7b97\u8853\u7684\u6027\u8cea\u3092\u7814\u7a76\u3059\u308b\u305f\u3081\u306e\u30c7\u30a3\u30aa\u30d5\u30a1\u30f3\u30c8\u30b9\u8fd1\u4f3c\u3068\u3057\u3066\u306e\u9023\u5206\u6570\u306e\u4f7f\u7528\u304c\u78ba\u7acb\u3055\u308c\u3066\u3044\u307e\u3059\u3002 <span title=\"\u30ed\u30fc\u30de\u6570\u5b57\u3067\u66f8\u304b\u308c\u305f\u6570\u5b57\">19<\/span><sup>\u4e16\u7d00<\/sup>\u306b\u306f\u3001\u8d85\u8d8a\u6570\u306b\u3064\u3044\u3066\u306e\u7406\u89e3\u304c\u6df1\u307e\u308a\u307e\u3057\u305f\u3002 Joseph Liouville \u306f\u3001\u6700\u521d\u306b\u5b9f\u8a3c\u3055\u308c\u305f\u8d85\u8d8a\u6570\u3092\u793a\u3059\u305f\u3081\u306b 1 \u3092\u4f7f\u7528\u3057\u307e\u3057\u305f\u3002\u3053\u306e\u8a18\u4e8b\u3067\u8aac\u660e\u3057\u305f\u77e5\u8b58\u304c\u305d\u3053\u3067\u7d42\u308f\u3063\u3066\u3082\u3001\u7269\u8a9e\u306f\u7d9a\u304d\u307e\u3059\u3002\u591a\u304f\u306e\u9032\u6b69\u306e\u4e2d\u3067\u30011873 \u5e74\u306b<i>e<\/i>\u306e\u8d85\u8d8a\u6027\u3092\u78ba\u7acb\u3057\u305f<span><a href=\"https:\/\/science-hub.click\/?p=96839\">\u30c1\u30e3\u30fc\u30eb\u30ba \u30a8\u30eb\u30df\u30c3\u30c8<\/a><\/span>\u3092\u6319\u3052\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u6b21\u306b\u3001\u985e\u4f3c\u306e\u65b9\u6cd5\u3092\u4f7f\u7528\u3057\u3066\u3001\u30d5\u30a7\u30eb\u30c7\u30a3\u30ca\u30f3\u30c9 \u30d5\u30a9\u30f3 \u30ea\u30f3\u30c7\u30de\u30f3\u304c \u03c0 \u306e\u8d85\u8d8a\u6027\u3092\u793a\u3057\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\/%D8%A7%D9%84%D9%83%D8%B3%D8%B1_(%D8%AA%D9%88%D8%B6%D9%8A%D8%AD)\">\u0627\u0644\u0643\u0633\u0631 (\u062a\u0648\u0636\u064a\u062d) \u2013 arabe<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/bg.wikipedia.org\/wiki\/%D0%A4%D1%80%D0%B0%D0%BA%D1%86%D0%B8%D1%8F\">\u0424\u0440\u0430\u043a\u0446\u0438\u044f \u2013 bulgare<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/cs.wikipedia.org\/wiki\/Frakce\">Frakce \u2013 tch\u00e8que<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/de.wikipedia.org\/wiki\/Fraktion\">Fraktion \u2013 allemand<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/en.wikipedia.org\/wiki\/Fraction_(disambiguation)\">Fraction (disambiguation) \u2013 anglais<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/eo.wikipedia.org\/wiki\/Frakcio\">Frakcio \u2013 esp\u00e9ranto<\/a><\/li><\/ol><\/div>\n<div class=\"feature-video\">\n <h2>\n  \u9023\u5206\u6570\u3068\u30c7\u30a3\u30aa\u30d5\u30a1\u30f3\u30c1\u30f3\u8fd1\u4f3c &#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=\"\u30101\u5206\u89e3\u8aac\u3011\u9023\u5206\u6570\u3092\u7528\u3044\u305f\u221a2\u306e\u8fd1\u4f3c\u5024\u8a08\u7b97\u3010\u9ad8\u6821\u6570\u5b66\u3011\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/rWVQnLgiogA?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 \u30a4\u30f3\u30c9\u306e\u6570\u5b66\u8005\u30a2\u30ea\u30e4\u30d0\u30fc\u30bf\u306f\u3001 5\u4e16\u7d00\u306e\u9023\u5206\u6570\u3092\u4f7f\u7528\u3057\u3066\u69cb\u7bc9\u3055\u308c\u305f\u30c7\u30a3\u30aa\u30d5\u30a1\u30f3\u30c8\u30b9\u8fd1\u4f3c\u3092\u4f7f\u7528\u3057\u3066\u5e73\u65b9\u6839\u3092\u62bd\u51fa\u3057\u307e\u3057\u305f\u3002 \u6570\u5b66\u3067\u306f\u3001\u30a4\u30f3\u30c7\u30c3\u30af\u30b9n\u306e\u9023\u7d9a\u5206\u6570\u3001\u3064\u307e\u308an\u30b9\u30c6\u30c3\u30d7\u306b\u5236\u9650\u3055\u308c\u305f\u5206\u6570\u306e\u524a\u6e1b\u306f\u3001\u521d\u671f\u5024\u306e\u30c7\u30a3\u30aa\u30d5 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":47019,"comment_status":"","ping_status":"","sticky":false,"template":"","format":"standard","meta":{"fifu_image_url":"https:\/\/img.youtube.com\/vi\/rWVQnLgiogA\/0.jpg","fifu_image_alt":"\u9023\u5206\u6570\u3068\u30c7\u30a3\u30aa\u30d5\u30a1\u30f3\u30c1\u30f3\u8fd1\u4f3c - \u5b9a\u7fa9","footnotes":""},"categories":[5],"tags":[36947,11,13,14,10,14503,12,8,16,19324,15,9,34452,46089],"class_list":["post-47018","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-dictionary","tag-diophantienne","tag-techniques","tag-technologie","tag-news","tag-actualite","tag-fraction","tag-dossier","tag-definition","tag-sciences","tag-continue","tag-article","tag-explications","tag-approximation","tag-fraction-continue-et-approximation-diophantienne"],"_links":{"self":[{"href":"https:\/\/science-hub.click\/index.php?rest_route=\/wp\/v2\/posts\/47018"}],"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=47018"}],"version-history":[{"count":0,"href":"https:\/\/science-hub.click\/index.php?rest_route=\/wp\/v2\/posts\/47018\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/science-hub.click\/index.php?rest_route=\/wp\/v2\/media\/47019"}],"wp:attachment":[{"href":"https:\/\/science-hub.click\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=47018"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/science-hub.click\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=47018"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/science-hub.click\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=47018"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}