{"id":183,"date":"2023-07-15T11:40:02","date_gmt":"2023-07-15T11:40:02","guid":{"rendered":"https:\/\/mathority.org\/ja\/%e3%83%87%e3%83%a5%e3%83%bc%e3%83%a9%e3%83%bc%e7%95%aa%e5%8f%b7\/"},"modified":"2023-07-15T11:40:02","modified_gmt":"2023-07-15T11:40:02","slug":"%e3%83%87%e3%83%a5%e3%83%bc%e3%83%a9%e3%83%bc%e7%95%aa%e5%8f%b7","status":"publish","type":"post","link":"https:\/\/mathority.org\/ja\/%e3%83%87%e3%83%a5%e3%83%bc%e3%83%a9%e3%83%bc%e7%95%aa%e5%8f%b7\/","title":{"rendered":"\u30aa\u30a4\u30e9\u30fc\u6570\u3068\u306f\u4f55\u3067\u3059\u304b?"},"content":{"rendered":"<p><strong>\u30aa\u30a4\u30e9\u30fc\u6570<\/strong>(\u30aa\u30a4\u30e9\u30fc\u5b9a\u6570\u3068\u3082\u547c\u3070\u308c\u308b) \u306f\u3001\u6570\u8ad6\u3001\u30c8\u30dd\u30ed\u30b8\u30fc\u3001\u7fa4\u7406\u8ad6\u3001\u95a2\u6570\u7406\u8ad6\u306a\u3069\u3001\u6570\u5b66\u306e\u3055\u307e\u3056\u307e\u306a\u5206\u91ce\u306b\u304a\u3044\u3066\u91cd\u8981\u304b\u3064\u4e0d\u53ef\u6b20\u306a\u6570\u5b66\u7684\u6570\u3067\u3059\u3002\u30ae\u30ea\u30b7\u30e3\u6587\u5b57\u300ce\u300d\u3067\u8868\u3055\u308c\u3001\u305d\u306e\u8fd1\u4f3c\u5024\u306f 2.71828 \u3067\u3059\u3002<\/p>\n<p>\u6570\u5024 e \u306f<strong>\u6307\u6570\u95a2\u6570\u306e<\/strong>\u516c\u5f0f\u304b\u3089\u5f97\u3089\u308c\u3001\u8907\u7d20\u6570\u7406\u8ad6\u306e\u57fa\u672c\u7684\u306a\u6570\u3067\u3059\u3002<\/p>\n<p>\u307e\u305f\u3001\u78ba\u7387\u306e\u8a08\u7b97\u3084\u6210\u9577\u3068\u8870\u9000\u306e\u30d7\u30ed\u30bb\u30b9\u306e\u30e2\u30c7\u30eb\u5316\u306a\u3069\u3001\u591a\u304f\u306e\u6570\u5b66\u7684\u554f\u984c\u3092\u89e3\u6c7a\u3059\u308b\u969b\u306b\u73fe\u308c\u308b\u81ea\u7136\u6570\u3067\u3082\u3042\u308a\u307e\u3059\u3002<\/p>\n<h2 class=\"wp-block-heading\"><span id=\"Cual_es_el_origen_del_numero_Euler\">\u30aa\u30a4\u30e9\u30fc\u6570\u306e\u7531\u6765\u306f\u4f55\u3067\u3059\u304b?<\/span><\/h2>\n<p>\u30aa\u30a4\u30e9\u30fc\u6570\u306f\u3001\u53f2\u4e0a\u6700\u3082\u5049\u5927\u306a\u6570\u5b66\u8005\u306e\u4e00\u4eba\u3067\u3042\u308a\u3001\u73fe\u4ee3\u6570\u5b66\u306e\u7236\u3068\u8003\u3048\u3089\u308c\u3066\u3044\u308b\u30b9\u30a4\u30b9\u306e\u6570\u5b66\u8005<strong>\u30ec\u30aa\u30f3\u30cf\u30eb\u30c8 \u30aa\u30a4\u30e9\u30fc<\/strong>(1707-1783) \u306b\u3061\u306a\u3093\u3067\u547d\u540d\u3055\u308c\u307e\u3057\u305f\u3002<\/p>\n<p>\u30aa\u30a4\u30e9\u30fc\u306f\u3001\u6570\u8ad6\u3001\u5e7e\u4f55\u5b66\u3001\u5fae\u7a4d\u5206\u5b66\u3001\u7269\u7406\u5b66\u3001\u5929\u6587\u5b66\u3092\u542b\u3080\u6570\u5b66\u306e\u591a\u304f\u306e\u5206\u91ce\u306b\u8cb4\u91cd\u306a\u8ca2\u732e\u3092\u3057\u307e\u3057\u305f\u3002<\/p>\n<p>\u5bfe\u6570\u306e\u8a08\u7b97\u3068\u7406\u8ad6\u306b\u95a2\u3059\u308b\u7814\u7a76\u306b\u304a\u3044\u3066\u3001<strong>\u6570\u5024 e<\/strong> (\u30aa\u30a4\u30e9\u30fc\u6570\u3068\u547c\u3070\u308c\u308b) \u3092\u6700\u521d\u306b\u5b9a\u7fa9\u3057\u3066\u4f7f\u7528\u3057\u305f\u306e\u306f\u5f7c\u3067\u3057\u305f\u3002 <a href=\"https:\/\/mathority.org\/ja\/\u30c6\u3099\u30e5\u30fc\u30e9\u30fc\u30d5\u30a9\u30fc\u30df\u30e5\u30e9\/\" target=\"_blank\" rel=\"noreferrer noopener\">\u30aa\u30a4\u30e9\u30fc\u306e\u8907\u7d20\u6570\u306e\u516c\u5f0f<\/a>\u3082\u3001\u5f7c\u306e\u6570\u5b66\u3078\u306e\u6700\u3082\u6ce8\u76ee\u3059\u3079\u304d\u8ca2\u732e\u306e 1 \u3064\u3067\u3059\u3002<\/p>\n<h2 class=\"wp-block-heading\"><span id=\"Como_se_obtiene_este_valor\">\u3053\u306e\u5024\u306f\u3069\u306e\u3088\u3046\u306b\u3057\u3066\u5f97\u3089\u308c\u308b\u306e\u3067\u3057\u3087\u3046\u304b?<\/span><\/h2>\n<p>\u5b9f\u969b\u3001\u30aa\u30a4\u30e9\u30fc\u6570\u3092\u8a08\u7b97\u3059\u308b\u306b\u306f<strong>\u3044\u304f\u3064\u304b\u306e\u65b9\u6cd5<\/strong>\u304c\u3042\u308a\u307e\u3059\u3002\u305f\u3060\u3057\u3001\u3069\u3061\u3089\u306e\u65b9\u6cd5\u3067\u3082\u6b63\u78ba\u306a\u7d50\u679c\u304c\u5f97\u3089\u308c\u306a\u3044\u3053\u3068\u306b\u6ce8\u610f\u3057\u3066\u304f\u3060\u3055\u3044\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u305d\u306e\u756a\u53f7\u4ed8\u3051\u306f\u9023\u7d9a\u7684\u3067\u7121\u9650\u3067\u3059\u304c\u3001\u7e70\u308a\u8fd4\u3055\u308c\u308b\u3053\u3068\u306f\u3042\u308a\u307e\u305b\u3093\u3002<\/p>\n<p>\u5b9f\u969b\u3001\u73fe\u5728\u3001\u6570\u5b57 e \u3092\u69cb\u6210\u3059\u308b\u6570\u306f 1 \u5146\u4ee5\u4e0a\u77e5\u3089\u308c\u3066\u3044\u307e\u3059\u3002\u30aa\u30a4\u30e9\u30fc\u6570\u3092\u5b9a\u7fa9\u3059\u308b\u7121\u9650\u7d1a\u6570\u306f\u6b21\u306e\u3068\u304a\u308a\u3067\u3059\u3002 <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"237\" height=\"54\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/definition-du-nombre-deuler.webp\" data-src=\"\" alt=\"\u30aa\u30a4\u30e9\u30fc\u6570\u306e\u5b9a\u7fa9\" class=\"wp-image-11486 lazyload\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p>\u91d1 &#8220;\uff01&#8221;\u968e\u4e57\u306f\u3001\u305d\u306e\u6570\u5024\u307e\u3067\u306e\u3059\u3079\u3066\u306e\u81ea\u7136\u6570\u306e\u7a4d\u3068\u3057\u3066\u5b9a\u7fa9\u3055\u308c\u307e\u3059\u3002\u4f8b\u3048\u3070\uff1a<\/p>\n<p class=\"has-text-align-center\"> 5\uff01 = 5 4 3 2 1 = 120<\/p>\n<p>\u3053\u306e\u7cfb\u5217\u306f\u3001\u9ad8\u3055\u304c 1 \u3067\u5e45\u304c\u6e1b\u5c11\u3059\u308b\u4e00\u9023\u306e<strong>\u9577\u65b9\u5f62\u306e<\/strong>\u5408\u8a08\u3068\u3057\u3066\u30b0\u30e9\u30d5\u3067\u898b\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u3053\u3053\u3067\u3001\u5404\u9577\u65b9\u5f62\u306e\u5e45\u306f 1\/n! (n \u306f\u968e\u4e57\u306e\u6570) \u3067\u3059\u3002<\/p>\n<p>\u5408\u8a08\u5185\u306e\u9577\u65b9\u5f62\u306e\u6570\u3092\u5897\u3084\u3059\u3068\u3001\u6307\u6570\u95a2\u6570\u306e\u66f2\u7dda\u306e\u4e0b\u306e\u9762\u7a4d\u306e\u8fd1\u4f3c\u5024\u306f\u30aa\u30a4\u30e9\u30fc\u6570\u306b\u307e\u3059\u307e\u3059\u8fd1\u3065\u304d\u307e\u3059\u3002<\/p>\n<p>\u8981\u7d04\u3059\u308b\u3068\u3001\u30aa\u30a4\u30e9\u30fc\u6570\u306f\u7121\u9650\u7d1a\u6570\u306e\u548c\u304b\u3089\u5f97\u3089\u308c\u308b\u6570\u3067\u3042\u308a\u3001\u6570\u5b66\u306e\u591a\u304f\u306e\u5206\u91ce\u306e\u57fa\u790e\u3068\u306a\u308a\u307e\u3059\u3002\u3053\u308c\u306f<a href=\"https:\/\/mathority.org\/ja\/\u7121\u7406\u6570-1\/\" target=\"_blank\" rel=\"noreferrer noopener\">\u7121\u7406\u6570<\/a>\u3067\u3059\u304c\u3001\u305d\u306e<strong>\u8fd1\u4f3c\u5024<\/strong>\u306f 2.71828 \u3067\u3059\u3002<\/p>\n<p>\u30aa\u30a4\u30e9\u30fc\u81ea\u8eab\u304c\u3053\u306e\u65b9\u6cd5\u3092\u5b9f\u88c5\u3057\u3066 e \u3092\u5c0f\u6570\u70b9\u4ee5\u4e0b 18 \u6841\u307e\u3067\u8a08\u7b97\u3057\u305f\u3053\u3068\u3092\u899a\u3048\u3066\u304a\u304f\u3053\u3068\u304c\u91cd\u8981\u3067\u3059\u3002<\/p>\n<p>\u5225\u306e\u8a08\u7b97\u65b9\u6cd5:<\/p>\n<p><strong>\u4e00\u9023\u306e\u6709\u9650\u9805<\/strong>\u3092\u4f7f\u7528\u3057\u3066\u3001\u76f4\u7dda\u4e0a\u306e\u30aa\u30a4\u30e9\u30fc\u6570\u306e\u8fd1\u4f3c\u5024\u3092\u8a08\u7b97\u3067\u304d\u307e\u3059\u3002\u305f\u3068\u3048\u3070\u3001\u4e0a\u3067\u5b9a\u7fa9\u3057\u305f\u6700\u521d\u306e\u7121\u9650\u7d1a\u6570\u3092\u53d6\u308a\u4e0a\u3052\u308b\u3068\u3001\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002 <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"237\" height=\"54\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/definition-du-nombre-deuler.webp\" data-src=\"\" alt=\"\u30aa\u30a4\u30e9\u30fc\u6570\u306e\u5b9a\u7fa9\" class=\"wp-image-11486 lazyload\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p>\u7d1a\u6570\u306e\u6700\u521d\u306e\u9805\u3092\u8ffd\u52a0\u3059\u308b\u3053\u3068\u3067\u8fd1\u4f3c\u5024\u3092\u8a08\u7b97\u3067\u304d\u307e\u3059\u3002\u305f\u3068\u3048\u3070\u3001\u6700\u521d\u306e 6 \u3064\u306e\u9805\u3092\u8ffd\u52a0\u3059\u308b\u3068\u3001\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002 <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"324\" height=\"56\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/approximation-du-nombre-deuler.webp\" data-src=\"\" alt=\"\u30aa\u30a4\u30e9\u30fc\u6570\u306e\u8fd1\u4f3c\" class=\"wp-image-11487 lazyload\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p>\u3053\u306e\u7cfb\u5217\u3092\u76f4\u7dda\u4e0a\u306b\u30d7\u30ed\u30c3\u30c8\u3057\u3066\u3001\u8fd1\u4f3c\u5024<strong>2.71828 \u306b<\/strong>\u3069\u306e\u3088\u3046\u306b\u8fd1\u3065\u304f\u304b\u3092\u78ba\u8a8d\u3067\u304d\u307e\u3059\u3002<\/p>\n<p>\u30b0\u30e9\u30d5\u30a3\u30ab\u30eb\u306b\u30aa\u30a4\u30e9\u30fc\u6570\u3092\u8868\u3059\u7dda\u306f\u3001\u9ad8\u3055\u304c 1 \u3067\u5e45\u304c\u5f90\u3005\u306b\u6e1b\u5c11\u3059\u308b\u4e00\u9023\u306e\u9577\u65b9\u5f62\u3068\u3057\u3066\u63cf\u753b\u3067\u304d\u307e\u3059\u3002\u3053\u3053\u3067\u3001\u5404\u9577\u65b9\u5f62\u306e\u5e45\u306f 1\/n! (n \u306f\u968e\u4e57\u306e\u6570) \u3067\u3059\u3002<\/p>\n<p>\u5408\u8a08\u5185\u306e\u9577\u65b9\u5f62\u306e\u6570\u3092\u5897\u3084\u3059\u3068\u3001\u6307\u6570\u95a2\u6570\u306e\u66f2\u7dda\u306e\u4e0b\u306e\u9762\u7a4d\u306e\u8fd1\u4f3c\u5024\u306f\u30aa\u30a4\u30e9\u30fc\u6570\u306b\u307e\u3059\u307e\u3059\u8fd1\u3065\u304d\u307e\u3059\u3002<\/p>\n<h2 class=\"wp-block-heading\"><span id=\"Ecuaciones_exponenciales_con_el_numero_Euler\">\u30aa\u30a4\u30e9\u30fc\u6570\u3092\u4f7f\u7528\u3057\u305f\u6307\u6570\u65b9\u7a0b\u5f0f<\/span><\/h2>\n<p>\u30aa\u30a4\u30e9\u30fc\u6570\u3092\u4f7f\u7528\u3057\u305f\u6307\u6570\u65b9\u7a0b\u5f0f\u306f\u3001\u7269\u7406\u5b66\u3001\u751f\u7269\u5b66\u3001\u7d4c\u6e08\u5b66\u306a\u3069\u306e\u79d1\u5b66\u306b\u304a\u3051\u308b\u3055\u307e\u3056\u307e\u306a\u73fe\u8c61\u3092\u30e2\u30c7\u30eb\u5316\u3059\u308b\u305f\u3081\u306b\u4f7f\u7528\u3067\u304d\u307e\u3059\u3002\u3053\u3053\u3067\u306f\u3044\u304f\u3064\u304b\u306e\u4f8b\u3092\u793a\u3057\u307e\u3059\u3002<\/p>\n<h3 class=\"wp-block-heading\">\u6307\u6570\u95a2\u6570\u7684\u306a\u6210\u9577\u3068\u8870\u9000<\/h3>\n<p>\u3053\u306e\u30e2\u30c7\u30eb\u306f\u3001\u4eba\u53e3\u304c<strong>\u5897\u52a0\u307e\u305f\u306f\u6e1b\u5c11\u3059\u308b<\/strong>\u901f\u5ea6\u3001\u307e\u305f\u306f\u6709\u6bd2\u7269\u8cea\u304c\u5206\u89e3\u3055\u308c\u308b\u901f\u5ea6\u3092\u8868\u3057\u307e\u3059\u3002<\/p>\n<p>\u305f\u3068\u3048\u3070\u3001\u4eba\u53e3\u304c\u5e74\u9593 5% \u306e\u5272\u5408\u3067\u5897\u52a0\u3057\u3066\u3044\u308b\u5834\u5408\u3001\u305d\u306e\u898f\u6a21\u306f\u6b21\u306e\u5f0f\u3067\u8868\u3059\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<p> P(t) = P0 \u00b7 e <sup>0.05t<\/sup> \u3001\u3053\u3053\u3067 P0 \u306f\u521d\u671f\u6bcd\u96c6\u56e3\u30b5\u30a4\u30ba\u3067\u3059\u3002<\/p>\n<h3 class=\"wp-block-heading\">\u653e\u5c04\u6027\u5d29\u58ca\u30e2\u30c7\u30eb<\/h3>\n<p>\u3053\u306e\u30e2\u30c7\u30eb\u306f\u3001\u653e\u5c04\u6027\u539f\u5b50\u304c\u6642\u9593\u306e\u7d4c\u904e\u3068\u3068\u3082\u306b\u5d29\u58ca\u3059\u308b\u901f\u5ea6\u3092\u8868\u3057\u307e\u3059\u3002<\/p>\n<p>\u5f0f\u306f\u6b21\u306e\u3068\u304a\u308a\u3067\u3059\u3002<\/p>\n<p class=\"has-text-align-center\"> N(t) = N0 e <sup>-\u03bbt<\/sup><\/p>\n<p>\u3053\u3053\u3067\u3001N0 \u306f\u521d\u671f\u539f\u5b50\u6570\u3001\u03bb \u306f\u653e\u5c04\u6027\u7269\u8cea\u306b\u4f9d\u5b58\u3059\u308b\u5b9a\u6570\u3001t \u306f\u6642\u9593\u3067\u3059\u3002<\/p>\n<p>\u3053\u308c\u3089\u306f\u3001\u30aa\u30a4\u30e9\u30fc\u6570\u3092\u4f7f\u7528\u3057\u305f\u6307\u6570\u65b9\u7a0b\u5f0f\u304c\u5b9f\u969b\u306b\u3069\u306e\u3088\u3046\u306b\u4f7f\u7528\u3067\u304d\u308b\u304b\u3092<strong>\u793a\u3059\u307b\u3093\u306e\u6570\u4f8b<\/strong>\u3067\u3059\u3002\u6307\u6570\u65b9\u7a0b\u5f0f\u304c\u4fbf\u5229\u3067\u95a2\u9023\u6027\u306e\u3042\u308b\u5206\u91ce\u306f\u4ed6\u306b\u3082\u305f\u304f\u3055\u3093\u3042\u308a\u307e\u3059\u3002<\/p>\n<h2 class=\"wp-block-heading\"><span id=\"Cuales_son_las_aplicaciones_del_numero_Euler\">\u30aa\u30a4\u30e9\u30fc\u6570\u306e\u5fdc\u7528\u306f\u4f55\u3067\u3059\u304b?<\/span><\/h2>\n<p>\u30aa\u30a4\u30e9\u30fc\u6570\u306f\u3001\u6570\u5b66\u3084\u79d1\u5b66\u306e\u3055\u307e\u3056\u307e\u306a\u5206\u91ce\u3067\u5e83\u7bc4\u56f2\u306b\u5fdc\u7528\u3067\u304d\u307e\u3059\u3002\u6570\u5024 e \u304c\u4f7f\u7528\u3055\u308c\u308b\u30d5\u30a3\u30fc\u30eb\u30c9\u306b\u306f\u3001\u6b21\u306e\u3088\u3046\u306a\u3082\u306e\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<ul>\n<li><strong>\u8a08\u7b97\u3068\u6570\u5b66\u7684\u5206\u6790<\/strong>: \u6307\u6570\u95a2\u6570\u3084\u5bfe\u6570\u95a2\u6570\u306e\u7814\u7a76\u3001\u304a\u3088\u3073\u5fae\u5206\u65b9\u7a0b\u5f0f\u306e\u89e3\u6c7a\u306b\u4f7f\u7528\u3055\u308c\u307e\u3059\u3002<\/li>\n<li><strong>\u6570\u8ad6<\/strong>\u2013 \u7d20\u6570\u306e\u5206\u5e03\u306e\u7814\u7a76\u3084\u6570\u8ad6\u306b\u95a2\u9023\u3059\u308b\u554f\u984c\u306e\u89e3\u6c7a\u306b\u4f7f\u7528\u3055\u308c\u307e\u3059\u3002<\/li>\n<li><strong>\u78ba\u7387\u3068\u7d71\u8a08<\/strong>: \u78ba\u7387\u5206\u5e03\u306b\u95a2\u9023\u3059\u308b\u554f\u984c\u3092\u89e3\u6c7a\u3057\u3001\u671f\u5f85\u5024\u3092\u63a8\u5b9a\u3059\u308b\u969b\u306b\u4f7f\u7528\u3055\u308c\u307e\u3059\u3002<\/li>\n<li><strong>\u6697\u53f7\u5316<\/strong>\u2013 \u6697\u53f7\u5316\u304a\u3088\u3073\u5fa9\u53f7\u5316\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u306e\u7814\u7a76\u306b\u4f7f\u7528\u3055\u308c\u307e\u3059\u3002<\/li>\n<li><strong>\u7269\u7406\u5b66<\/strong>\u2013 \u71b1\u529b\u5b66\u3001\u91cf\u5b50\u529b\u5b66\u3001\u7d71\u8a08\u7269\u7406\u5b66\u306b\u95a2\u9023\u3059\u308b\u554f\u984c\u3092\u89e3\u6c7a\u3059\u308b\u305f\u3081\u306b\u4f7f\u7528\u3055\u308c\u307e\u3059\u3002<\/li>\n<li><strong>\u5316\u5b66<\/strong>: \u5316\u5b66\u71b1\u529b\u5b66\u304a\u3088\u3073\u5316\u5b66\u53cd\u5fdc\u901f\u5ea6\u8ad6\u306b\u95a2\u9023\u3059\u308b\u554f\u984c\u3092\u89e3\u6c7a\u3059\u308b\u305f\u3081\u306b\u4f7f\u7528\u3055\u308c\u307e\u3059\u3002<\/li>\n<\/ul>\n<h2 class=\"wp-block-heading\"><span id=\"Formula_de_Euler_para_numeros_complejos\">\u8907\u7d20\u6570\u306e\u30aa\u30a4\u30e9\u30fc\u306e\u516c\u5f0f<\/span><\/h2>\n<p><a href=\"https:\/\/mathority.org\/ja\/\u8907\u7d20\u6570\/\" target=\"_blank\" rel=\"noreferrer noopener\">\u8907\u7d20\u6570<\/a>\u306e\u30aa\u30a4\u30e9\u30fc\u306e\u516c\u5f0f\u306f\u3001\u4e09\u89d2\u95a2\u6570\u3068\u6307\u6570\u95a2\u6570\u306e\u9593\u306e\u95a2\u4fc2\u3092\u78ba\u7acb\u3057\u307e\u3059\u3002\u5f0f\u306f\u6b21\u306e\u3088\u3046\u306b\u66f8\u304b\u308c\u307e\u3059\u3002 <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"280\" height=\"95\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/la-formule-deuler.webp\" data-src=\"\" alt=\"\u30aa\u30a4\u30e9\u30fc\u306e\u516c\u5f0f\" class=\"wp-image-11051 lazyload\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p>\u3053\u3053\u3067\u3001\u300ce\u300d\u306f\u81ea\u7136\u5bfe\u6570\u306e\u5e95\u3001\u300ci\u300d\u306f\u865a\u6570\u5358\u4f4d\u3001\u300cx\u300d\u306f\u5b9f\u6570\u3001\u300ccos\u300d\u3068\u300csin\u300d\u306f\u305d\u308c\u305e\u308c\u4e09\u89d2\u95a2\u6570\u306e\u30b3\u30b5\u30a4\u30f3\u3068\u30b5\u30a4\u30f3\u3067\u3059\u3002<\/p>\n<p>\u3053\u306e\u516c\u5f0f\u306f\u3001\u6570\u8ad6\u3001\u95a2\u6570\u7406\u8ad6\u3001\u8907\u7d20\u6570\u7406\u8ad6\u306a\u3069\u306e\u6570\u5b66\u306e\u591a\u304f\u306e\u5206\u91ce\u3067\u975e\u5e38\u306b\u5f79\u7acb\u3061\u3001\u5de5\u5b66\u3001\u7269\u7406\u5b66\u3001\u7d4c\u6e08\u5b66\u306b\u3082\u5e45\u5e83\u304f\u5fdc\u7528\u3055\u308c\u3066\u3044\u307e\u3059\u3002<\/p>\n<p>\u5b9f\u969b\u306e\u4f7f\u7528\u4f8b\u306f\u30d5\u30fc\u30ea\u30a8\u89e3\u6790\u306b\u304a\u3051\u308b<strong>\u4fe1\u53f7\u3068\u30b7\u30b9\u30c6\u30e0\u306e\u8868\u73fe<\/strong>\u306b\u3042\u308a\u3001\u5468\u671f\u4fe1\u53f7\u306f\u8907\u7d20\u6b63\u5f26\u6ce2\u4fe1\u53f7\u306e\u5408\u8a08\u3068\u3057\u3066\u8868\u73fe\u3055\u308c\u307e\u3059\u3002<\/p>\n<p>\u30aa\u30a4\u30e9\u30fc\u306e\u516c\u5f0f\u306f\u3001\u3053\u308c\u3089\u306e\u8907\u7d20\u4fe1\u53f7\u304c\u3001\u500b\u3005\u306e\u6b63\u5f26\u6ce2\u4fe1\u53f7\u3092\u8a18\u8ff0\u3059\u308b\u5b9f\u969b\u306e\u4e09\u89d2\u95a2\u6570\u306b\u3069\u306e\u3088\u3046\u306b\u95a2\u4fc2\u3059\u308b\u304b\u3092\u8a18\u8ff0\u3059\u308b\u305f\u3081\u306b\u4f7f\u7528\u3055\u308c\u307e\u3059\u3002<\/p>\n<h2 class=\"wp-block-heading\"><span id=\"El_numero_Euler_y_el_interes_compuesto\">\u30aa\u30a4\u30e9\u30fc\u6570\u3068\u8907\u5229<\/span><\/h2>\n<p><a href=\"https:\/\/mathority.org\/ja\/\u8907\u5229\/\" target=\"_blank\" rel=\"noreferrer noopener\">\u8907\u5229\u306f\u3001<\/a>\u5143\u672c\u3068\u547c\u3070\u308c\u308b\u304a\u91d1\u306e\u5408\u8a08\u304c\u3001\u6642\u9593\u306e\u7d4c\u904e\u3068\u3068\u3082\u306b\u5897\u52a0\u3059\u308b\u5229\u606f\u306b\u5bfe\u3057\u3066\u5229\u5b50\u3092\u5f97\u308b\u30d7\u30ed\u30bb\u30b9\u3092\u8aac\u660e\u3059\u308b<strong>\u91d1\u878d\u6982\u5ff5<\/strong>\u3067\u3059\u3002<\/p>\n<p>\u8a00\u3044\u63db\u3048\u308c\u3070\u3001\u6295\u8cc7\u304b\u3089\u5f97\u3089\u308c\u308b\u5229\u606f\u306f\u3001\u521d\u671f\u8cc7\u672c\u3060\u3051\u3067\u306a\u304f\u3001\u904e\u53bb\u306e\u671f\u9593\u306b\u5f97\u3089\u308c\u305f\u5229\u606f\u304b\u3089\u3082\u5f97\u3089\u308c\u307e\u3059\u3002<\/p>\n<p>\u8907\u5229\u306e\u8a08\u7b97\u5f0f\u3067\u306f\u30aa\u30a4\u30e9\u30fc\u6570\u304c\u4f7f\u7528\u3055\u308c\u308b\u305f\u3081\u3001\u30aa\u30a4\u30e9\u30fc\u6570\u3068\u8907\u5229\u306b\u306f\u95a2\u9023\u6027\u304c\u3042\u308a\u307e\u3059\u3002<strong>\u8907\u5229\u306e\u8a08\u7b97\u5f0f\u306f\u6b21<\/strong>\u306e\u3068\u304a\u308a\u3067\u3059\u3002<\/p>\n<p class=\"has-text-align-center\"> A =<sup>\u30d1\u30fc\u30c8<\/sup><\/p>\n<p>\u3053\u3053\u3067\u3001A \u306f\u6700\u7d42\u91d1\u984d\u3001P \u306f\u5143\u672c\u3001r \u306f\u91d1\u5229\u3001t \u306f\u6642\u9593\u3001e \u306f\u30aa\u30a4\u30e9\u30fc\u6570\u3067\u3059\u3002\u3053\u306e\u3088\u3046\u306b\u3001\u30aa\u30a4\u30e9\u30fc\u6570\u306f\u8907\u5229\u8a08\u7b97\u306e\u6570\u5b66\u7684\u5b9a\u5f0f\u5316\u306b\u304a\u3044\u3066\u91cd\u8981\u306a\u8981\u7d20\u3068\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\u5177\u4f53\u7684\u306a\u6570\u5024\u3092\u4f7f\u7528\u3057\u3066\u8907\u5229\u3092\u8a08\u7b97\u3059\u308b\u4f8b\u306f\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p> 1,000 \u30e6\u30fc\u30ed\u3092 2 \u5e74\u9593\u3001\u5e74\u5229 5% \u3067\u6295\u8cc7\u3059\u308b\u3068\u4eee\u5b9a\u3057\u307e\u3059\u3002\u8907\u5229\u3092\u8a08\u7b97\u3059\u308b\u5f0f\u306f\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p class=\"has-text-align-center\"> A =<sup>\u30d1\u30fc\u30c8<\/sup>= 1000 e <sup>0.05 2<\/sup> = 1000 1.1025 = 1102.5 \u30e6\u30fc\u30ed\u3002<\/p>\n<p>\u3053\u308c\u306f\u3001\u751f\u6210\u3055\u308c\u308b\u8907\u5229\u306e\u304a\u304b\u3052\u3067\u30012 \u5e74\u5f8c\u306b\u306f\u5f53\u521d\u8cc7\u672c 1,000 \u30e6\u30fc\u30ed\u304c 1,102.5 \u30e6\u30fc\u30ed\u306b\u5897\u52a0\u3059\u308b\u3053\u3068\u3092\u610f\u5473\u3057\u307e\u3059\u3002<\/p>\n<h2 class=\"wp-block-heading\"><span id=\"Ejemplos_de_ejercicios_matematicos_con_el_numero_Euler\">\u30aa\u30a4\u30e9\u30fc\u6570\u3092\u4f7f\u3063\u305f\u6570\u5b66\u7684\u6f14\u7fd2\u306e\u4f8b<\/span><\/h2>\n<p>\u4ee5\u4e0b\u306b\u3001\u30aa\u30a4\u30e9\u30fc\u6570\u3092\u542b\u3080<strong>\u6570\u5b66\u306e\u554f\u984c\u3092\u89e3\u6c7a\u3057\u305f<\/strong>2 \u3064\u306e\u4f8b\u3092\u793a\u3057\u307e\u3059\u3002<\/p>\n<p> 1. \u300ce <sup>ix<\/sup> \u300d\u306e\u5024\u3092\u6c42\u3081\u307e\u3059\u3002\u3053\u3053\u3067\u3001x \u306f\u5b9f\u6570\u3067\u3059\u3002<\/p>\n<p>\u30aa\u30a4\u30e9\u30fc\u306e\u6052\u7b49\u5f0f\u306f\u3001e <sup>ix<\/sup> = cos(x) + i \u00b7 sin(x) \u3067\u3042\u308b\u3053\u3068\u3092\u793a\u3057\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001x \u306e\u5024\u304c\u308f\u304b\u3063\u3066\u3044\u308c\u3070\u3001\u4e09\u89d2\u95a2\u6570\u3092\u4f7f\u7528\u3057\u3066 e <sup>ix<\/sup>\u306e\u5024\u3092\u8a08\u7b97\u3067\u304d\u307e\u3059\u3002<\/p>\n<p> 2. \u6307\u5b9a\u3055\u308c\u305f x \u306e\u5024\u306b\u5bfe\u3057\u3066 e^(x <sup>2<\/sup> ) \u3092\u8a08\u7b97\u3057\u307e\u3059\u3002<\/p>\n<p>\u30c6\u30a4\u30e9\u30fc\u7d1a\u6570\u3092\u4f7f\u7528\u3057\u3066 e^(x <sup>2<\/sup> ) \u306e\u5024\u3092\u8a08\u7b97\u3067\u304d\u307e\u3059\u3002 e <sup>x<\/sup>\u306e\u30c6\u30a4\u30e9\u30fc\u7d1a\u6570\u306f\u7121\u9650\u5c55\u958b\u3067\u3042\u308a\u3001\u4f7f\u7528\u3055\u308c\u308b\u7528\u8a9e\u306b\u5fdc\u3058\u3066 e <sup>x<\/sup>\u306e\u5024\u306e\u9010\u6b21\u8fd1\u4f3c\u3092\u8a08\u7b97\u3067\u304d\u307e\u3059\u3002 <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"332\" height=\"72\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/serie-de-taylor-pour-la-fonction-exponentielle.webp\" data-src=\"\" alt=\"\u6307\u6570\u95a2\u6570\u306e\u30c6\u30a4\u30e9\u30fc\u7d1a\u6570\" class=\"wp-image-11053 lazyload\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p>\u3053\u306e\u7d1a\u6570\u306e x \u3092 x <sup>2<\/sup>\u306b\u7f6e\u304d\u63db\u3048\u308b\u3068\u3001e^(x <sup>2<\/sup> ) \u306e\u30c6\u30a4\u30e9\u30fc\u7d1a\u6570\u304c\u5f97\u3089\u308c\u307e\u3059\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u30aa\u30a4\u30e9\u30fc\u6570(\u30aa\u30a4\u30e9\u30fc\u5b9a\u6570\u3068\u3082\u547c\u3070\u308c\u308b) \u306f\u3001\u6570\u8ad6\u3001\u30c8\u30dd\u30ed\u30b8\u30fc\u3001\u7fa4\u7406\u8ad6\u3001\u95a2\u6570\u7406\u8ad6\u306a\u3069\u3001\u6570\u5b66\u306e\u3055\u307e\u3056\u307e\u306a\u5206\u91ce\u306b\u304a\u3044\u3066\u91cd\u8981\u304b\u3064\u4e0d\u53ef\u6b20\u306a\u6570\u5b66\u7684\u6570\u3067\u3059\u3002\u30ae\u30ea\u30b7\u30e3\u6587\u5b57\u300ce\u300d\u3067\u8868\u3055\u308c\u3001\u305d\u306e\u8fd1\u4f3c\u5024\u306f 2.71828 \u3067\u3059\u3002 \u6570\u5024 e \u306f &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/ja\/%e3%83%87%e3%83%a5%e3%83%bc%e3%83%a9%e3%83%bc%e7%95%aa%e5%8f%b7\/\"> <span class=\"screen-reader-text\">\u30aa\u30a4\u30e9\u30fc\u6570\u3068\u306f\u4f55\u3067\u3059\u304b?<\/span> \u3082\u3063\u3068\u8aad\u3080 &raquo;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"","footnotes":""},"categories":[9,26],"tags":[],"class_list":["post-183","post","type-post","status-publish","format-standard","hentry","category-9","category-26"],"yoast_head":"<!-- This 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