{"id":7892,"date":"2023-10-28T02:01:00","date_gmt":"2023-10-28T02:01:00","guid":{"rendered":"https:\/\/science-hub.click\/E%28%E6%95%B0%E5%80%A4%29%E3%81%AB%E3%81%A4%E3%81%84%E3%81%A6%E8%A9%B3%E3%81%97%E3%81%8F%E8%A7%A3%E8%AA%AC\/"},"modified":"2023-10-28T02:01:00","modified_gmt":"2023-10-28T02:01:00","slug":"E%28%E6%95%B0%E5%80%A4%29%E3%81%AB%E3%81%A4%E3%81%84%E3%81%A6%E8%A9%B3%E3%81%97%E3%81%8F%E8%A7%A3%E8%AA%AC","status":"publish","type":"post","link":"https:\/\/science-hub.click\/?p=7892","title":{"rendered":"E (\u6570\u5024)\u306b\u3064\u3044\u3066\u8a73\u3057\u304f\u89e3\u8aac"},"content":{"rendered":"<div><div><p><strong>\u6570\u5b66\u5b9a\u6570<span><i>e<\/i><\/span><\/strong> (\u5bfe\u6570\u3092\u5c0e\u5165\u3057\u305f\u30b9\u30b3\u30c3\u30c8\u30e9\u30f3\u30c9\u306e\u6570\u5b66\u8005\u30b8\u30e7\u30f3 \u30cd\u30a4\u30d4\u30a2\u306b\u3061\u306a\u3093\u3067<strong>\u30cd\u30fc\u30d1\u30fc\u5b9a\u6570<\/strong>\u3068\u3082\u547c\u3070\u308c\u307e\u3059) \u306f\u81ea\u7136\u5bfe\u6570\u306e\u57fa\u790e\u3067\u3059\u3002 1761 \u5e74\u306b\u30aa\u30a4\u30e9\u30fc\u306b\u3088\u3063\u3066<strong>\u6307\u6570\u6570<\/strong>\u3068\u547c\u3070\u308c\u305f\u6570\u5024<i>e<\/i>\u306f\u3001\u304a\u3088\u305d\u6b21\u306e\u3068\u304a\u308a\u3067\u3059\u3002<\/p><p> <i>e<\/i> \u2248 2.718 281 828 459 045 235 360 287 4&#8230;<\/p><h2><span>\u6b74\u53f2\u7684\u8003\u5bdf<\/span><\/h2><p><span><a href=\"https:\/\/science-hub.click\/?p=71097\">\u6570\u5024<\/a><\/span><i>e \u306f<\/i>\u6570\u5024<span>\u03c0<\/span>\u3068\u540c\u3058\u3067\u3042\u308a\u3001\u6307\u6570\u95a2\u6570\u306e\u6b63\u898f\u5316\u3067\u898b\u3064\u304b\u308b\u305f\u3081\u3001\u304a\u305d\u3089\u304f\u6570\u5b66\u3067\u6700\u3082\u91cd\u8981\u306a\u5b9f\u5b9a\u6570\u3067\u3059\u3002\u305f\u3060\u3057\u3001\u6587\u732e\u306b\u767b\u5834\u3057\u305f\u6642\u671f\u3092\u6b63\u78ba\u306b\u7279\u5b9a\u3059\u308b\u3053\u3068\u306f\u56f0\u96e3\u3067\u3059\u3002\u5b9f\u969b\u3001<span><a href=\"https:\/\/science-hub.click\/?p=67495\">\u30cd\u30fc\u30d1\u30fc\u304c<\/a><\/span><span><a href=\"https:\/\/science-hub.click\/?p=18862\">\u30b5\u30a4\u30f3<\/a><\/span>\u3001<span><a href=\"https:\/\/science-hub.click\/?p=18862\">\u30b3\u30b5\u30a4\u30f3<\/a><\/span>\u3001\u7a4d\u3001\u5546\u306e\u8a08\u7b97\u3092\u7c21\u7565\u5316\u3059\u308b\u305f\u3081\u306e\u8a08\u7b97\u624b\u6bb5\u3068\u3057\u3066\u5bfe\u6570\u3092\u5c0e\u5165\u3057\u305f\u5834\u5408\u3001\u5f7c\u306f\u3053\u308c\u3089\u306e\u5bfe\u6570\u306e\u7279\u5b9a\u306e\u5e95\u3092\u6307\u5b9a\u3057\u3066\u304a\u3089\u305a\u3001\u6700\u3082\u81ea\u7136\u306a\u5bfe\u6570\u306f\u5e95 10 \u306e\u5bfe\u6570\u3067\u3059\u3002<\/p><p>\u81ea\u7136\u5bfe\u6570\u306f\u3001\u304a\u305d\u3089\u304f\u30a6\u30a3\u30ea\u30a2\u30e0\u30fb\u30aa\u30fc\u30c8\u30ec\u30c3\u30c9\u306b\u3088\u3063\u3066\u66f8\u304b\u308c\u305f\u30cd\u30fc\u30d4\u30a2\u8ad6\u6587\u306e\u4ed8\u9332\u3068\u3057\u3066 1618 \u5e74\u306b\u521d\u3081\u3066\u767b\u5834\u3057\u307e\u3057\u305f\u3002<\/p><p> 1624 \u5e74\u3001\u30d6\u30ea\u30c3\u30b0\u30b9\u306f\u3001\u6b63\u78ba\u306b\u306f\u7279\u5b9a\u3067\u304d\u307e\u305b\u3093\u3067\u3057\u305f\u304c\u3001 <i>e<\/i>\u3067\u3042\u308b\u3053\u3068\u304c\u5224\u660e\u3057\u305f\u6570\u5024\u306e<span>10 \u9032\u5bfe\u6570<\/span><span><a href=\"https:\/\/science-hub.click\/?p=33686\">\u3092\u8fd1\u4f3c\u3057\u307e\u3057\u305f<\/a><\/span>\u3002<\/p><p> 1647 \u5e74\u3001\u30b0\u30ec\u30b4\u30ef\u30fc\u30eb \u30c9 \u30b5\u30f3 \u30f4\u30a1\u30f3\u30b5\u30f3\u306f\u53cc\u66f2\u7dda\u306e\u4e0b\u306e\u9762\u7a4d\u3092\u8a08\u7b97\u3057\u307e\u3057\u305f\u304c\u3001\u6570\u5024<i>e<\/i>\u306f\u5f37\u8abf\u3057\u307e\u305b\u3093\u3067\u3057\u305f\u3002<\/p><p> 1661 \u5e74\u3001\u30db\u30a4\u30d8\u30f3\u30b9\u306f\u53cc\u66f2\u7dda\u306e\u4e0b\u306e\u9762\u7a4d\u3068\u5bfe\u6570\u95a2\u6570\u3092\u7d50\u3073\u4ed8\u3051\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3057\u305f\u3002 <i>e \u306f<\/i>\u5b9f\u6570\u3067\u30011 \u3068<i>e<\/i>\u306e\u9593\u306e\u53cc\u66f2\u7dda\u306e\u4e0b\u306e\u9762\u7a4d\u304c 1 \u306b\u76f8\u5f53\u3059\u308b\u305f\u3081\u3001\u3053\u306e\u6570\u5024\u306f<i>\u81ea\u7136\u5bfe\u6570\u306e\u5e95<\/i>\u3068\u3057\u3066\u8a71\u984c\u306b\u3055\u308c\u308b\u3053\u3068\u306a\u304f<span>\u3001<\/span>\u3053\u306e\u6642\u70b9\u3067\u6ce8\u76ee\u3055\u308c\u305f\u53ef\u80fd\u6027\u304c\u3042\u308a\u307e\u3059\u3002<\/p><p> <i>e<\/i>\u304c\u6ce8\u76ee\u3059\u3079\u304d\u6570\u3068\u3057\u3066\u521d\u3081\u3066\u767b\u5834\u3057\u305f\u306e\u306f\u3001\u30d9\u30eb\u30cc\u30fc\u30a4\u304c\u5229\u5b50\u306e\u8a08\u7b97\u306b\u8208\u5473\u3092\u6301\u3061\u59cb\u3081\u305f 1683 \u5e74\u306b\u9061\u308a\u307e\u3059\u3002\u305d\u308c\u304c\u5f7c\u306b\u6570\u5217\u306e\u6975\u9650\u3092\u7814\u7a76\u3055\u305b\u308b\u3053\u3068\u306b\u306a\u308b<div class=\"math-formual notranslate\">$$ {\\left(1 + \\frac 1n\\right)^n} $$<\/div> \u3002\u3057\u304b\u3057\u3001\u3053\u306e\u6642\u70b9\u3067\u306f\u8ab0\u3082\u3053\u306e\u6570\u5024\u3068\u81ea\u7136\u5bfe\u6570\u3092\u7d50\u3073\u4ed8\u3051\u307e\u305b\u3093\u3067\u3057\u305f\u3002\u305f\u3060\u3057\u3001\u5e95\u304c<i>a<\/i>\u306e\u5bfe\u6570\u95a2\u6570\u304c\u5e95\u304c<i>a<\/i>\u306e<span><a href=\"https:\/\/science-hub.click\/?p=37668\">\u6307\u6570<\/a><\/span>\u95a2\u6570\u306e<span><a href=\"https:\/\/science-hub.click\/?p=94311\">\u9006\u6570\u3067<\/a><\/span>\u3042\u308b\u3053\u3068\u304c\u308f\u304b\u308a\u59cb\u3081\u308b\u306e\u306f\u3053\u306e\u671f\u9593\u3067\u3059\u3002<span><a href=\"https:\/\/science-hub.click\/?p=87911\">\u79d1\u5b66<\/a><\/span>\u754c\u306f<i>e \u3092<\/i><i>\u767a\u898b\u3059\u308b<\/i>\u6a5f\u304c<span><a href=\"https:\/\/science-hub.click\/?p=105205\">\u719f\u3057\u3066\u3044\u307e\u3059<\/a><\/span>\u3002\u30e9\u30a4\u30d7\u30cb\u30c3\u30c4\u304b\u3089\u30db\u30a4\u30d8\u30f3\u30b9\u3078\u306e\u624b\u7d19\u306e\u4e2d\u3067\u3001\u3053\u306e\u6570\u304c\u81ea\u7136\u5bfe\u6570\u306e\u5e95\u3067\u3042\u308b\u3053\u3068\u304c\u6700\u7d42\u7684\u306b\u7279\u5b9a\u3055\u308c\u307e\u3057\u305f\u304c\u3001\u30e9\u30a4\u30d7\u30cb\u30c3\u30c4\u306f\u305d\u308c\u306b<i>b<\/i>\u3068\u3044\u3046\u540d\u524d\u3092\u4ed8\u3051\u307e\u3057\u305f\u3002<\/p><p>\u3053\u306e\u5b9a\u6570\u306e<i>e<\/i>\u3068\u3044\u3046\u8868\u8a18\u306f\u3001\u30aa\u30a4\u30e9\u30fc\u304c 1731 \u5e74\u306b\u30b4\u30fc\u30eb\u30c9\u30d0\u30c3\u30cf\u306b<span><a href=\"https:\/\/science-hub.click\/?p=9117\">\u5b9b\u3066\u305f<\/a><\/span>\u624b\u7d19\u306e\u4e2d\u3067\u4e0e\u3048\u3089\u308c\u305f\u3082\u306e\u3067\u3059\u3002e \u306e\u9078\u629e\u306b\u3088\u308a\u3001\u591a\u304f\u306e\u63a8\u6e2c\u304c\u751f\u307e\u308c\u307e\u3057\u305f\u3002\u300c <i>e<\/i><i>\u306f<\/i>\u30aa\u30a4\u30e9\u30fc\u3068\u4f3c\u3066\u3044\u308b\u306e\u304b?\u300d\u30a8\u30af\u30b9\u30dd\u30cd\u30f3\u30b7\u30e3\u30eb<i>\u306f<\/i>\u597d\u304d\u3067\u3059\u304b\uff1f\u307e\u305f\u306f\u3001\u30aa\u30a4\u30e9\u30fc\u306e\u7814\u7a76\u3067\u4f7f\u7528\u53ef\u80fd\u306a\u6700\u521d\u306e\u6bcd\u97f3\u3068\u3057\u3066<span><a href=\"https:\/\/science-hub.click\/?p=95765\">\u5358\u306b<\/a><\/span><i>e \u3092<\/i>\u4f7f\u7528\u3057\u307e\u3059\u3002 <i>e<\/i>\u306e\u7d1a\u6570\u5c55\u958b\u3092\u4e0e\u3048\u308b\u306e\u3082\u30aa\u30a4\u30e9\u30fc\u3067\u3059<\/p><dl><dd><div class=\"math-formual notranslate\">$$ {e = 1 + \\frac{1}{1!} + \\frac{1}{2!} + \\cdots + \\frac{1}{k!}+ \\cdots} $$<\/div><\/dd><\/dl><p>\u305d\u3057\u3066\u9023\u5206\u6570\u3067\u306f: <\/p><dl><dd><div class=\"math-formual notranslate\">$$ {e=2+\\frac{1}{1+\\frac{1}{2+\\frac{1}{1+\\frac{1}{1+\\frac{1}{4+\\frac{1}{1+\\frac{1}{1+\\frac{1}{6+\\ldots}}}}}}}}} $$<\/div><\/dd><\/dl><p> <i>e \u306f<\/i><span><a href=\"https:\/\/science-hub.click\/?p=96157\">\u7121\u9650\u306e<\/a><\/span>\u9023\u5206\u6570\u5c55\u958b\u3092\u6301\u3064\u305f\u3081\u3001\u7121\u7406\u6570\u306b\u306a\u308a\u307e\u3059\u3002<\/p><p>\u3057\u304b\u3057\u3001 <i>e<\/i>\u304c\u8d85\u8d8a\u7684\u3067\u3042\u308b\u3053\u3068\u3092\u8a3c\u660e\u3057\u305f\u306e\u306f 1873 \u5e74\u306e\u30a8\u30eb\u30df\u30fc\u30c8\u3067\u3057\u305f\u3002<\/p><figure class=\"wp-block-image size-large is-style-default\">\n<img decoding=\"async\" alt=\" E (\u6570\u5024)\u306b\u3064\u3044\u3066\u8a73\u3057\u304f\u89e3\u8aac\" class=\"aligncenter\" onerror=\"this.style.display=none;\" src=\"https:\/\/img.youtube.com\/vi\/OvTHddoeFE0\/0.jpg\" style=\"width:100%;\"\/><\/figure><h2><span>\u5b9a\u7fa9\u3068\u7279\u6027<\/span><\/h2><h3><span>e\u306e\u5b9a\u7fa9<\/span><\/h3><p>\u524d\u8ff0\u306e\u8003\u5bdf\u306f\u3001 <i>e \u304c<\/i>\u3044\u304f\u3064\u304b\u306e\u7570\u306a\u308b\u65b9\u6cd5\u3067\u5b9a\u7fa9\u3067\u304d\u308b\u3053\u3068\u3092\u793a\u3057\u3066\u3044\u307e\u3059\u3002<\/p><ul><li>\u95a2\u6570 ln \u3092\u95a2\u6570\u306e\u30d7\u30ea\u30df\u30c6\u30a3\u30d6\u3068\u3057\u3066\u5b9a\u7fa9\u3059\u308b\u4eba\u306b\u3068\u3063\u3066\u3001 <i>e \u306f<\/i>ln(e) = 1 \u3068\u306a\u308b\u5b9f\u6570\u3067\u3059\u3002 <div class=\"math-formual notranslate\">$$ {x \\to \\frac{1}{x}} $$<\/div>\u3053\u308c\u306f 1 \u3067\u76f8\u6bba\u3055\u308c\u307e\u3059\u3002\u3053\u308c\u304c\u3001\u3053\u306e\u5b9a\u6570\u304c<strong>\u81ea\u7136\u5bfe\u6570\u306e\u5e95<\/strong>\u3068\u3082\u547c\u3070\u308c\u308b\u7406\u7531\u3067\u3059\u3002<\/li><li> <i>e \u306f<\/i>\u3001\u95a2\u6570 exp \u3092 u&#8217;= u \u304a\u3088\u3073 u(0)=1 \u3092\u691c\u8a3c\u3059\u308b\u4e00\u610f\u306e\u95a2\u6570\u3068\u3057\u3066\u5b9a\u7fa9\u3059\u308b\u4eba\u306b\u3068\u3063\u3066\u306f\u3001exp(1) = e \u3068\u306a\u308b\u5b9f\u6570\u3067\u3059\u3002<\/li><li> <i>e \u306f<\/i>\u6570\u5217\u306e\u6975\u9650\u3067\u3059<div class=\"math-formual notranslate\">$$ {(1 + \\frac 1n)^n} $$<\/div> \u3002<\/li><li> <i>e \u306f<\/i>\u6570\u5217\u306e\u6975\u9650\u3067\u3059<div class=\"math-formual notranslate\">$$ {\\sum_{k=0}^\\infty \\frac{1}{k!}} $$<\/div> (\u898f\u5247<span>0! = 1 \u3092<\/span>\u4f7f\u7528)\u3002<\/li><\/ul><p>\u3053\u308c\u3089 3 \u3064\u306e\u5b9a\u7fa9\u306e\u7b49\u4fa1\u6027\u306f\u3001exp \u95a2\u6570\u3001ln \u95a2\u6570\u3001\u304a\u3088\u3073\u30b7\u30fc\u30b1\u30f3\u30b9\u306e\u5236\u9650\u3092\u7d50\u3073\u4ed8\u3051\u308b\u95a2\u4fc2\u304b\u3089\u5f97\u3089\u308c\u307e\u3059\u3002<\/p><p> e \u306e\u5c0f\u6570\u70b9\u4ee5\u4e0b\u6700\u521d\u306e 100 \u6841: 2.7182818284 5904523536 0287471352 6624977572 4709369995 9574966967 6277240766 3035354759 4571382178 5251664274<\/p><figure class=\"wp-block-image size-large is-style-default\">\n<img decoding=\"async\" alt=\" E (\u6570\u5024)\u306b\u3064\u3044\u3066\u8a73\u3057\u304f\u89e3\u8aac\" class=\"aligncenter\" onerror=\"this.style.display=none;\" src=\"https:\/\/img.youtube.com\/vi\/YHSk-Brx6uI\/0.jpg\" style=\"width:100%;\"\/><\/figure><h3> <span><span><a href=\"https:\/\/science-hub.click\/?p=102005\">\u6570\u8ad6<\/a><\/span><\/span><\/h3><p>\u30cd\u30fc\u30da\u30eb\u5b9a\u6570\u306f\u6574\u6570<span><a href=\"https:\/\/science-hub.click\/?p=11998\">\u8ad6<\/a><\/span>\u3067\u5e83\u304f\u767b\u5834\u3057\u307e\u3059\u3002\u6570\u5b66\u8005\u306f\u975e\u5e38\u306b\u65e9\u304f\u304b\u3089\u6570<i>e<\/i>\u306e\u6027\u8cea\u306b\u8208\u5473\u3092\u6301\u3063\u3066\u3044\u307e\u3057\u305f\u3002 <i>e<\/i>\u306e\u975e\u5408\u7406\u6027\u306f 1761 \u5e74\u306b\u30e9\u30f3\u30d0\u30fc\u30c8\u306b\u3088\u3063\u3066\u8a3c\u660e\u3055\u308c\u3001\u305d\u306e\u5f8c\u30aa\u30a4\u30e9\u30fc\u306b\u3088\u3063\u3066\u8a3c\u660e\u3055\u308c\u307e\u3057\u305f\u3002 <i>e<\/i>\u306e\u975e\u5408\u7406\u6027\u306e<span><a href=\"https:\/\/science-hub.click\/?p=52981\">\u5b9f\u8a3c\u306f<\/a><\/span>\u3001\u305d\u306e\u9023\u7d9a\u5c55\u958b (*e \u306e\u975e\u5408\u7406\u6027\u306e\u5b9f\u8a3c\u3092\u53c2\u7167) \u307e\u305f\u306f\u9023\u5206\u6570\u3068\u3057\u3066\u306e\u5c55\u958b\u306b\u3088\u3063\u3066\u884c\u3046\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p><p> <i>e<\/i>\u306e\u8d85\u8d8a\u6027\u306e\u8a3c\u660e\u306f\u30011873 \u5e74\u306b\u30a8\u30eb\u30df\u30fc\u30c8\u306b\u3088\u3063\u3066\u78ba\u7acb\u3055\u308c\u307e\u3057\u305f\u3002\u79c1\u305f\u3061\u306f\u5f53\u7136\u3001\u4efb\u610f\u306e\u6574\u6570 n \u306b\u3064\u3044\u3066\u3001\u3055\u3089\u306b\u306f\u4efb\u610f\u306e\u6709\u7406\u6570 r \u306b\u3064\u3044\u3066\u3082\u3001 <span><i>e<\/i> <sup><i>n<\/i><\/sup><\/span>\u3068<span><i>e<\/i> <sup><i>r \u3082<\/i><\/sup><\/span>\u8d85\u8d8a\u7684\u3067\u3042\u308b\u3068\u63a8\u6e2c\u3057\u307e\u3059\u304c\u3001 <span><i>e \u304c<\/i><\/span>\u8d85\u8d8a\u7684\u3067\u3042\u308b\u304b\u3069\u3046\u304b\u306f\u307e\u3060\u308f\u304b\u308a\u307e\u305b\u3093 (2007)\u3002 <span><sup><i>e<\/i><\/sup><\/span>\u306f\u8d85\u8d8a\u7684\u304b\u3069\u3046\u304b\u3002<\/p><p>\u3053\u306e\u6570\u306e\u6027\u8cea\u306f<span><a href=\"https:\/\/science-hub.click\/?p=24032\">\u3001\u30ea\u30f3\u30c7\u30de\u30f3\u30fb\u30ef\u30a4\u30a8\u30eb\u30b7\u30e5\u30c8\u30e9\u30b9<\/a><\/span>\u306e\u5b9a\u7406\u306e\u57fa\u790e\u3068\u306a\u308a\u307e\u3059\u3002<\/p><p> <i>e \u306f<\/i><span><a href=\"https:\/\/science-hub.click\/?p=31430\">\u6b63\u898f\u6570\u307e\u305f\u306f\u4e71\u6570<\/a><\/span>\u3067\u3042\u308b\u3068\u63a8\u6e2c\u3055\u308c\u307e\u3057\u305f\u3002<\/p><h3><span>\u6307\u6570\u95a2\u6570\u3068\u5fae\u5206<span><a href=\"https:\/\/science-hub.click\/?p=66517\">\u65b9\u7a0b\u5f0f<\/a><\/span><\/span><\/h3><p>\u4efb\u610f\u306e\u5b9f\u6570 x \u306b\u3064\u3044\u3066\u3001 <span><i>e<\/i> <i>x<\/i> <i>p<\/i> ( <i>x<\/i> ) = <i>e<\/i> <sup><i>x<\/i><\/sup><\/span>\u3067\u3059\u3002 \u3053\u3053\u3067\u3001 exp \u306f\u3001\u5fae\u5206\u65b9\u7a0b\u5f0f<i>y&#8217; = y<\/i>\u304a\u3088\u3073<i>y(0)= 1 \u3092<\/i>\u691c\u8a3c\u3059\u308b\u4e00\u610f\u306e\u95a2\u6570\u3067\u3059\u3002\u3053\u306e\u95a2\u6570\u306f\u5e95\u3092<i>e<\/i>\u3068\u3059\u308b\u6307\u6570\u95a2\u6570\u3068\u547c\u3070\u308c\u307e\u3059\u3002<\/p><p> <span><i>f<\/i> ( <i>x<\/i> ) = <i>C<\/i> <i>e<\/i> <sup><i>a<\/i> <i>x<\/i><\/sup><\/span>\u3067\u5b9a\u7fa9\u3055\u308c\u308b\u95a2\u6570\u3067\u3042\u308b\u5fae\u5206\u65b9\u7a0b\u5f0f<i>y&#8217; = ay<\/i>\u306e\u3059\u3079\u3066\u306e\u89e3\u3092\u4e0e\u3048\u308b\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=\" E (\u6570\u5024)\u306b\u3064\u3044\u3066\u8a73\u3057\u304f\u89e3\u8aac\" class=\"aligncenter\" onerror=\"this.style.display=none;\" src=\"https:\/\/img.youtube.com\/vi\/iqOWHaX_Xzw\/0.jpg\" style=\"width:100%;\"\/><\/figure><h3><span><span><a href=\"https:\/\/science-hub.click\/?p=18862\">\u4e09\u89d2\u95a2\u6570<\/a><\/span><\/span><\/h3><p>\u5fae\u5206\u65b9\u7a0b\u5f0f<i>u&#8217; = iu<\/i>\u304a\u3088\u3073<i>u(0) = 1<\/i>\u306b\u5bfe\u3059\u308b\u4e00\u610f\u306e\u8907\u7d20\u89e3\u3092<span>\u6c42\u3081\u308b\u3068\u3001<\/span>\u95a2\u6570<span><i>u<\/i> ( <i>x<\/i> ) = <i>e<\/i> <sup><i>i<\/i> <i>x<\/i><\/sup> = cos( <i>x<\/i> ) + <i>i<\/i> sin( <i>x<\/i> )<\/span>\u3068\u30aa\u30a4\u30e9\u30fc\u306e\u6052\u7b49\u5f0f\u304c\u5f97\u3089\u308c\u307e\u3059\u3002<\/p><dl><dd> <span><i>e<\/i> <sup><i>i<\/i> \u03c0<\/sup> + 1 = 0<\/span><\/dd><\/dl><p><span>\u30ea\u30c1\u30e3\u30fc\u30c9\u30fb\u30d5\u30a1\u30a4\u30f3\u30de\u30f3<\/span>\u306b\u3088\u308c\u3070\u3001\u3053\u308c\u306f\u300c\u4e16\u754c\u3067\u6700\u3082\u6ce8\u76ee\u306b\u5024\u3059\u308b\u51e6\u65b9\u300d\u3067\u3042\u308b\u3068\u3044\u3046\u3002\u30aa\u30a4\u30e9\u30fc\u81ea\u8eab\u3082\u30015 \u3064\u306e\u57fa\u672c\u7684\u306a\u6570 0\u30011\u3001 <span><i>e<\/i><\/span> \u3001 <span><i>i<\/i><\/span> \u3001 <span>\u03c0 \u3092<\/span>\u307e\u3068\u3081\u308b\u3053\u306e\u95a2\u4fc2\u306b\u9a5a\u3044\u305f\u3067\u3057\u3087\u3046\u3002<\/p><\/div><h2 class=\"ref_link\">\u53c2\u8003\u8cc7\u6599<\/h2><ol><li><a class=\"notranslate\" href=\"https:\/\/af.wikipedia.org\/wiki\/E_(wiskunde)\">E (wiskunde) \u2013 afrikaans<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/am.wikipedia.org\/wiki\/%E1%8A%A6%E1%8B%AD%E1%88%88%E1%88%AD_%E1%89%81%E1%8C%A5%E1%88%AD\">\u12a6\u12ed\u1208\u122d \u1241\u1325\u122d \u2013 amharique<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/an.wikipedia.org\/wiki\/Numero_e\">Numero e \u2013 aragonais<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/ar.wikipedia.org\/wiki\/%D9%87_(%D8%B1%D9%8A%D8%A7%D8%B6%D9%8A%D8%A7%D8%AA)\">\u0647 (\u0631\u064a\u0627\u0636\u064a\u0627\u062a) \u2013 arabe<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/ast.wikipedia.org\/wiki\/N%C3%BAmberu_e\">N\u00famberu e \u2013 asturien<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/az.wikipedia.org\/wiki\/E_(%C9%99d%C9%99d)\">E (\u0259d\u0259d) \u2013 azerba\u00efdjanais<\/a><\/li><\/ol><\/div>\n<div class=\"feature-video\">\n <h2>\n  E (\u6570\u5024)\u306b\u3064\u3044\u3066\u8a73\u3057\u304f\u89e3\u8aac\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=\"\u30cd\u30a4\u30d4\u30a2\u6570\u300ce\u300d\u3063\u3066\u4f55?\u03c0\u306b\u4e26\u3076\u6570\u5b66\u306e\u91cd\u8981\u306a\u5b9a\u6570\u306e\u89e3\u8aac\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/iqOWHaX_Xzw?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\u5b9a\u6570e (\u5bfe\u6570\u3092\u5c0e\u5165\u3057\u305f\u30b9\u30b3\u30c3\u30c8\u30e9\u30f3\u30c9\u306e\u6570\u5b66\u8005\u30b8\u30e7\u30f3 \u30cd\u30a4\u30d4\u30a2\u306b\u3061\u306a\u3093\u3067\u30cd\u30fc\u30d1\u30fc\u5b9a\u6570\u3068\u3082\u547c\u3070\u308c\u307e\u3059) \u306f\u81ea\u7136\u5bfe\u6570\u306e\u57fa\u790e\u3067\u3059\u3002 1761 \u5e74\u306b\u30aa\u30a4\u30e9\u30fc\u306b\u3088\u3063\u3066\u6307\u6570\u6570\u3068\u547c\u3070\u308c\u305f\u6570\u5024e\u306f\u3001\u304a\u3088\u305d\u6b21\u306e\u3068\u304a\u308a\u3067\u3059\u3002 e \u2248 2 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":7893,"comment_status":"","ping_status":"","sticky":false,"template":"","format":"standard","meta":{"fifu_image_url":"https:\/\/img.youtube.com\/vi\/UKw7mi5T4TY\/0.jpg","fifu_image_alt":" E (\u6570\u5024)\u306b\u3064\u3044\u3066\u8a73\u3057\u304f\u89e3\u8aac","footnotes":""},"categories":[5],"tags":[9328,11,13,14,10,12,1460,16,15],"class_list":["post-7892","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-dictionary","tag-e-nombre","tag-techniques","tag-technologie","tag-news","tag-actualite","tag-dossier","tag-nombre","tag-sciences","tag-article"],"_links":{"self":[{"href":"https:\/\/science-hub.click\/index.php?rest_route=\/wp\/v2\/posts\/7892"}],"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=7892"}],"version-history":[{"count":0,"href":"https:\/\/science-hub.click\/index.php?rest_route=\/wp\/v2\/posts\/7892\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/science-hub.click\/index.php?rest_route=\/wp\/v2\/media\/7893"}],"wp:attachment":[{"href":"https:\/\/science-hub.click\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=7892"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/science-hub.click\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=7892"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/science-hub.click\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=7892"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}