{"id":174,"date":"2023-07-15T16:26:26","date_gmt":"2023-07-15T16:26:26","guid":{"rendered":"https:\/\/mathority.org\/ja\/%e3%83%87%e3%83%a5%e3%83%bc%e3%83%a9%e3%83%bc%e3%83%95%e3%82%a9%e3%83%bc%e3%83%9f%e3%83%a5%e3%83%a9\/"},"modified":"2023-07-15T16:26:26","modified_gmt":"2023-07-15T16:26:26","slug":"%e3%83%87%e3%83%a5%e3%83%bc%e3%83%a9%e3%83%bc%e3%83%95%e3%82%a9%e3%83%bc%e3%83%9f%e3%83%a5%e3%83%a9","status":"publish","type":"post","link":"https:\/\/mathority.org\/ja\/%e3%83%87%e3%83%a5%e3%83%bc%e3%83%a9%e3%83%bc%e3%83%95%e3%82%a9%e3%83%bc%e3%83%9f%e3%83%a5%e3%83%a9\/","title":{"rendered":"\u30aa\u30a4\u30e9\u30fc\u306e\u516c\u5f0f\u306e\u5b9f\u8a3c\u3068\u5fdc\u7528"},"content":{"rendered":"<p><strong>\u30aa\u30a4\u30e9\u30fc\u306e\u516c\u5f0f\u306f<\/strong>\u3001<a href=\"https:\/\/mathority.org\/ja\/\u8907\u7d20\u6570\/\" target=\"_blank\" rel=\"noreferrer noopener\">\u8907\u7d20\u6570<\/a>\u3068\u4e09\u89d2\u6cd5\u3068\u3044\u3046\u6570\u5b66\u306e 2 \u3064\u306e\u57fa\u672c\u6982\u5ff5\u3092\u7d50\u3073\u4ed8\u3051\u308b\u6570\u5b66\u7684\u6982\u5ff5\u3067\u3059\u3002\u3053\u306e\u305f\u3081\u3001\u3053\u308c\u306f\u6700\u3082\u91cd\u8981\u306a\u6982\u5ff5\u5316\u306e 1 \u3064\u3067\u3042\u308a\u3001\u6570\u5b66\u5168\u4f53\u3067\u6700\u3082\u591a\u304f\u306e\u5fdc\u7528\u304c\u53ef\u80fd\u3067\u3059\u3002\u3053\u306e\u8a18\u4e8b\u3067\u306f\u3001\u3053\u306e\u5f0f\u304c\u3069\u306e\u3088\u3046\u306a\u3082\u306e\u306a\u306e\u304b\u3001\u307e\u305f\u305d\u306e\u4f7f\u7528\u6cd5\u3092\u3059\u3079\u3066\u898b\u3066\u3044\u304d\u307e\u3059\u3002<\/p>\n<h2 class=\"wp-block-heading\"><span id=\"Que_es_la_formula_de_Euler\">\u30aa\u30a4\u30e9\u30fc\u306e\u516c\u5f0f\u3068\u306f\u4f55\u3067\u3059\u304b?<\/span><\/h2>\n<p>\u30aa\u30a4\u30e9\u30fc\u306e\u516c\u5f0f\u306f\u3001 <a href=\"https:\/\/mathority.org\/ja\/\u30c6\u3099\u30e5\u30fc\u30e9\u30fc\u756a\u53f7\/\" target=\"_blank\" rel=\"noreferrer noopener\">\u30aa\u30a4\u30e9\u30fc\u6570<\/a>\u306b\u57fa\u3065\u304f\u57fa\u672c\u7684\u306a\u6570\u5b66\u65b9\u7a0b\u5f0f\u3067\u3042\u308a\u3001\u8907\u7d20\u6570\u3092\u4e09\u89d2\u6cd5\u306b\u95a2\u9023\u4ed8\u3051\u307e\u3059\u3002 18 \u4e16\u7d00\u306b\u30b9\u30a4\u30b9\u306e\u6570\u5b66\u8005<strong>\u30ec\u30aa\u30f3\u30cf\u30eb\u30c8 \u30aa\u30a4\u30e9\u30fc<\/strong>\u306b\u3088\u3063\u3066\u767a\u898b\u3055\u308c\u3001\u4ee5\u6765\u3001\u7269\u7406\u5b66\u304b\u3089\u30b3\u30f3\u30d4\u30e5\u30fc\u30bf\u30fc \u30b5\u30a4\u30a8\u30f3\u30b9\u306b\u81f3\u308b\u307e\u3067\u3001\u3055\u307e\u3056\u307e\u306a\u5206\u91ce\u3067\u4f7f\u7528\u3055\u308c\u3066\u304d\u307e\u3057\u305f\u3002<\/p>\n<p>\u30aa\u30a4\u30e9\u30fc\u306e\u516c\u5f0f<strong>\u306f e <sup>ix<\/sup> = cos(x) + i sin(x) \u3068<\/strong>\u66f8\u304d\u307e\u3059\u3002\u3053\u3053\u3067\u3001e \u306f\u81ea\u7136\u5bfe\u6570\u306e\u5e95\u3001i \u306f<a href=\"https:\/\/mathority.org\/ja\/\u865a\u6570\/\" target=\"_blank\" rel=\"noreferrer noopener\">\u865a\u6570\u5358\u4f4d<\/a>(-1 \u306e\u5e73\u65b9\u6839\u3068\u3057\u3066\u5b9a\u7fa9)\u3001x \u306f\u5b9f\u6570\u3067\u3059\u3002\u756a\u53f7\u3002\u3053\u306e\u65b9\u7a0b\u5f0f\u306f\u3001\u8907\u7d20\u6570 e <sup>ix \u304c<\/sup>\u5b9f\u6570 cos(x) \u3068\u865a\u6570 i \u3068\u5b9f\u6570 sin(x) \u306e\u7a4d\u306e\u548c\u306b\u7b49\u3057\u3044\u3053\u3068\u3092\u6307\u5b9a\u3057\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>\u30aa\u30a4\u30e9\u30fc\u306e\u516c\u5f0f\u306e\u91cd\u8981\u6027\u306f\u3001\u8907\u7d20\u6570\u3092\u5b9f\u6570\u3068\u4e09\u89d2\u6cd5\u306e\u89b3\u70b9\u304b\u3089\u8868\u73fe\u3067\u304d\u308b\u3088\u3046\u306b\u306a\u308a\u3001\u64cd\u4f5c\u3068\u8a08\u7b97\u304c\u5bb9\u6613\u306b\u306a\u308b\u3068\u3044\u3046\u4e8b\u5b9f\u306b\u3042\u308a\u307e\u3059\u3002<\/p>\n<h2 class=\"wp-block-heading\"><span id=\"Demostracion_de_la_formula_de_Euler\">\u30aa\u30a4\u30e9\u30fc\u306e\u516c\u5f0f\u306e\u8a3c\u660e<\/span><\/h2>\n<p><strong>\u30aa\u30a4\u30e9\u30fc\u306e\u516c\u5f0f\u306e\u8a3c\u660e\u306f\u3001<\/strong>\u6307\u6570\u95a2\u6570\u306b\u5bfe\u3059\u308b\u30c6\u30a4\u30e9\u30fc\u7d1a\u6570\u306e\u4f7f\u7528\u3068\u3001\u30b3\u30b5\u30a4\u30f3\u3068\u30b5\u30a4\u30f3\u306b\u5bfe\u3059\u308b\u4e09\u89d2\u95a2\u6570\u306e\u6052\u7b49\u5f0f\u306b\u57fa\u3065\u3044\u3066\u3044\u307e\u3059\u3002<\/p>\n<p>\u307e\u305a\u3001\u6307\u6570\u95a2\u6570\u306e\u30c6\u30a4\u30e9\u30fc\u7d1a\u6570\u3092\u8003\u3048\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>\u6b21\u306b\u3001\u4e0a\u8a18\u306e\u65b9\u7a0b\u5f0f\u306e x \u3092 ix \u306b\u7f6e\u304d\u63db\u3048\u307e\u3059\u3002\u3053\u3053\u3067\u3001i \u306f\u865a\u6570\u5358\u4f4d (-1 \u306e\u5e73\u65b9\u6839) \u3067\u3059\u3002 <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"440\" height=\"76\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/serie-de-taylor-avec-unite-imaginaire.webp\" data-src=\"\" alt=\"\u865a\u6570\u5358\u4f4d\u3092\u4f7f\u7528\u3057\u305f\u30c6\u30a4\u30e9\u30fc\u7d1a\u6570\" class=\"wp-image-11055 lazyload\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001i \u306e\u3079\u304d\u4e57\u3092\u9069\u7528\u3057\u3066\u3001\u524d\u306e\u5f0f\u306b\u4ee3\u5165\u3057\u307e\u3059\u3002 <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"352\" height=\"67\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/on-applique-les-puissances-des-nombres-imaginaires.webp\" data-src=\"\" alt=\"\u865a\u6570\u306e\u529b\u3092\u5fdc\u7528\u3057\u307e\u3059\" class=\"wp-image-11056 lazyload\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p>\u3053\u3053\u3067\u3001\u5b9f\u9805\u3068 i \u3092\u542b\u3080\u9805\u3092\u30b0\u30eb\u30fc\u30d7\u5316\u3057\u307e\u3059\u3002 <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"463\" height=\"81\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/nous-regroupons-les-termes.webp\" data-src=\"\" alt=\"\u7528\u8a9e\u3092\u30b0\u30eb\u30fc\u30d7\u5316\u3057\u307e\u3059\" class=\"wp-image-11057 lazyload\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p>\u5b9f\u969b\u3001\u4e0a\u8a18\u306e\u5404\u62ec\u5f27\u306f\u30b3\u30b5\u30a4\u30f3\u3068\u30b5\u30a4\u30f3\u306e\u30c6\u30a4\u30e9\u30fc\u7d1a\u6570\u3067\u3059\u3002 <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"259\" height=\"127\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/on-separe-le-sinus-et-le-cosinus.webp\" data-src=\"\" alt=\"\u30b5\u30a4\u30f3\u3068\u30b3\u30b5\u30a4\u30f3\u3092\u5206\u96e2\u3057\u307e\u3059\" class=\"wp-image-11058 lazyload\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p>\u6700\u5f8c\u306b\u3001(\u62ec\u5f27\u5185\u306e\u5404\u5f0f\u3092 x \u306e\u30b3\u30b5\u30a4\u30f3\u3068\u30b5\u30a4\u30f3\u306b\u7f6e\u304d\u63db\u3048\u308b\u3053\u3068\u306b\u3088\u3063\u3066) \u7c21\u7565\u5316\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=\"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<h2 class=\"wp-block-heading\"><span id=\"Ejemplo_de_la_formula_de_Euler\">\u30aa\u30a4\u30e9\u30fc\u306e\u516c\u5f0f\u306e\u4f8b<\/span><\/h2>\n<p>\u3053\u306e\u6570\u5f0f\u304c\u3069\u306e\u3088\u3046\u306b\u6a5f\u80fd\u3059\u308b\u304b\u304c\u308f\u304b\u3063\u305f\u306e\u3067\u3001\u6b21\u306e\u5b9f\u969b\u7684\u306a\u4f8b\u3092\u89e3\u3044\u3066\u307f\u308b\u3053\u3068\u3092\u304a\u52e7\u3081\u3057\u307e\u3059\u3002 \u8907\u7d20\u6570 e <sup>2i<\/sup> <strong>(\u30e9\u30b8\u30a2\u30f3\u5358\u4f4d)<\/strong>\u3092\u4e8c\u9805\u5f62\u5f0f\u3067\u8868\u3057\u307e\u3059\u3002<\/p>\n<p>\u30aa\u30a4\u30e9\u30fc\u306e\u516c\u5f0f\u306e\u4e3b\u306a\u7528\u9014\u306f\u3001\u6307\u6570\u5f62\u5f0f\u3067\u8868\u73fe\u3055\u308c\u305f\u8907\u7d20\u6570\u3092\u4e8c\u9805\u5f62\u5f0f\u306b\u5909\u63db\u3059\u308b\u3053\u3068\u3067\u3059\u3002<strong>\u3057\u305f\u304c\u3063\u3066\u3001\u6b21\u306e\u5f0f\u3092\u4f7f\u7528\u3057\u307e\u3059<\/strong>: e <sup>ix<\/sup> = cos(x) + i sin(x)<\/p>\n<p class=\"has-text-align-center\"> e <sup>2i<\/sup> = cos(2) + i sin(2)<\/p>\n<p class=\"has-text-align-center\"> <sup>e2i<\/sup> = -0.416 + 0.909i<\/p>\n<p>\u305d\u3057\u3066\u3001\u3059\u3067\u306b\u4e8c\u9805\u5f62\u5f0f\u306e\u6570\u5024\u304c\u5f97\u3089\u308c\u3066\u3044\u307e\u3059\u3002\u305d\u3053\u304b\u3089\u3001<a href=\"https:\/\/mathority.org\/ja\/\u8907\u7d20\u5e73\u9762\/\" target=\"_blank\" rel=\"noreferrer noopener\">\u8907\u7d20\u5e73\u9762<\/a>\u3067\u30b0\u30e9\u30d5\u30a3\u30c3\u30af\u8868\u73fe\u3092\u4f5c\u6210\u3067\u304d\u307e\u3059\u3002\u305d\u306e\u305f\u3081\u306b\u306f\u3001\u8907\u7d20\u6570\u306f\u3001\u6a2a\u8ef8 (x \u8ef8) \u306e\u5b9f\u90e8\u3068\u7e26\u8ef8 (y \u8ef8) \u306e\u865a\u90e8\u3092\u5ea7\u6a19\u3068\u3057\u3066\u4f7f\u7528\u3057\u3066<strong>\u8907\u7d20\u5e73\u9762<\/strong>\u3067\u8868\u73fe\u3055\u308c\u308b\u3053\u3068\u3092\u7406\u89e3\u3059\u308b\u5fc5\u8981\u304c\u3042\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=\"321\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/exemple-de-formule-deuler-dans-le-plan-complexe.webp\" data-src=\"\" alt=\"\u8907\u7d20\u5e73\u9762\u306b\u304a\u3051\u308b\u30aa\u30a4\u30e9\u30fc\u306e\u516c\u5f0f\u306e\u4f8b\" class=\"wp-image-11062 lazyload\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p>\u524d\u306e\u753b\u50cf\u3067\u306f\u3001\u8907\u7d20\u6570 e <sup>2i<\/sup>\u304c\u793a\u3055\u308c\u3066\u3044\u307e\u3059\u3002\u3053\u308c\u306f -0.416 + 0.909i \u306b\u7b49\u3057\u304f\u306a\u308a\u307e\u3059\u3002\u3053\u308c\u306f\u9752\u8272\u306e\u70b9\u3068\u3057\u3066\u8868\u793a\u3055\u308c\u307e\u3059\u3002\u5e73\u9762\u4e0a\u306e\u305d\u306e\u4f4d\u7f6e\u306f<strong>2 \u3064\u306e\u89d2\u5ea6<\/strong>\u304b\u3089\u898b\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<p>\u6700\u521d\u306e\u6700\u3082\u660e\u767d\u306a\u65b9\u6cd5\u306f\u3001\u6570\u5024\u3092<strong>\u4e8c\u9805\u5f62\u5f0f<\/strong>\u3067\u8868\u73fe\u3057\u305f\u3082\u306e\u3067\u3059: -0.416 (\u6a2a\u8ef8) \u3068 0.909 (\u30b3\u30f3\u30d4\u30e5\u30fc\u30bf\u30fc\u4e0a)\u3002 2 \u756a\u76ee\u306f<strong>\u6307\u6570\u5f62\u5f0f<\/strong>\u3067\u3059\u3002e <sup>2i<\/sup>\u306e\u52a0\u7fa4\u306f\u3001e \u306e\u524d\u306b\u3042\u308b\u6570\u5024\u3067\u3042\u308b\u305f\u3081 1 \u306b\u7b49\u3057\u304f\u306a\u308a\u307e\u3059 (e \u306e\u524d\u306b\u6570\u5024\u304c\u306a\u3044\u306e\u3067\u30011 \u304c\u3042\u308b\u3068\u60f3\u50cf\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059)\u3002\u6307\u6570\u306b\u306f 2 \u304c\u3042\u308b\u305f\u3081\u3001\u5f15\u6570\u307e\u305f\u306f\u89d2\u5ea6\u306f 2 \u30e9\u30b8\u30a2\u30f3\u306b\u76f8\u5f53\u3057\u307e\u3059\u3002<\/p>\n<p><strong>\u3053\u306e\u6700\u5f8c\u306e\u6bb5\u843d\u3092\u3088\u304f\u7406\u89e3\u3057\u3066\u3044\u306a\u3044\u5834\u5408\u306f<\/strong>\u3001\u8907\u7d20\u6570\u306b\u95a2\u3059\u308b\u8a18\u4e8b\u3092\u8aad\u3080\u3053\u3068\u3092\u304a\u52e7\u3081\u3057\u307e\u3059\u3002\u3055\u3066\u3001\u305d\u3053\u3067\u306f\u3001\u8907\u7d20\u6570\u3092\u8a18\u8ff0\u3059\u308b\u3055\u307e\u3056\u307e\u306a\u65b9\u6cd5\u3068\u305d\u306e\u3059\u3079\u3066\u306e\u30d7\u30ed\u30d1\u30c6\u30a3\u306b\u3064\u3044\u3066\u3001\u975e\u5e38\u306b\u8a73\u7d30\u306b\u8aac\u660e\u3057\u3066\u3044\u307e\u3059\u3002<\/p>\n<h2 class=\"wp-block-heading\"><span id=\"Representacion_grafica_de_la_formula_de_Euler\">\u30aa\u30a4\u30e9\u30fc\u306e\u516c\u5f0f\u306e\u30b0\u30e9\u30d5\u8868\u793a<\/span><\/h2>\n<p>\u524d\u306e\u4f8b\u3067\u306f\u3001\u30aa\u30a4\u30e9\u30fc\u306e\u516c\u5f0f\u304c\u3069\u306e\u3088\u3046\u306b\u9069\u7528\u3055\u308c\u3001\u305d\u308c\u304c\u8907\u7d20\u5e73\u9762\u3067\u3069\u306e\u3088\u3046\u306b\u30b0\u30e9\u30d5\u30a3\u30ab\u30eb\u306b\u8868\u73fe\u3055\u308c\u308b\u304b\u3092\u78ba\u8a8d\u3067\u304d\u307e\u3057\u305f\u3002\u3057\u304b\u3057\u3001\u3082\u3046\u5c11\u3057\u9032\u3093\u3067\u30aa\u30a4\u30e9\u30fc\u306e\u516c\u5f0f\u3068\u540c\u7b49\u306e\u95a2\u6570\u3092\u8868\u73fe\u3057\u3088\u3046\u3068\u3059\u308b\u3068\u3001\u975e\u5e38\u306b\u8208\u5473\u6df1\u3044\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u3002<strong>\u534a\u5f84 1 \u306e\u5186<\/strong>\u304c\u751f\u6210\u3055\u308c\u307e\u3059\u3002 <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"509\" height=\"513\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/representation-de-la-formule-deuler.webp\" data-src=\"\" alt=\"\u30aa\u30a4\u30e9\u30fc\u306e\u516c\u5f0f\u306e\u8868\u73fe\" class=\"wp-image-11083 lazyload\" data-srcset=\"https:\/\/micalculadoracientifica.com\/wp-content\/uploads\/2023\/01\/Representacion-de-la-Formula-de-Euler.png 509w, https:\/\/micalculadoracientifica.com\/wp-content\/uploads\/2023\/01\/Representacion-de-la-Formula-de-Euler-496x500.png 496w\" sizes=\"auto, \" srcset=\"\"><\/figure>\n<\/div>\n<p>\u305f\u3060\u3057\u3001\u5186\u306e\u534a\u5f84\u306f\u8907\u7d20\u6570\u306e<strong>\u30e2\u30b8\u30e5\u30fc\u30eb\u306e<\/strong>\u5024\u306b\u76f4\u63a5\u4f9d\u5b58\u3057\u307e\u3059\u3002\u305f\u3068\u3048\u3070\u3001\u534a\u5f84 4 \u306e\u5186\u3092\u8868\u3057\u305f\u3044\u5834\u5408\u3001\u95a2\u6570\u306f 4e <sup>ix<\/sup>\u306b\u306a\u308a\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u95a2\u6570 4e <sup>ix<\/sup>\u306f\u6b21\u306e\u3088\u3046\u306b\u8868\u3055\u308c\u307e\u3059\u3002 <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"530\" height=\"548\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/representation-dune-circonference-de-rayon-4.webp\" data-src=\"\" alt=\"\u534a\u5f844\u306e\u5186\u5468\u306e\u8868\u73fe\" class=\"wp-image-11084 lazyload\" data-srcset=\"https:\/\/micalculadoracientifica.com\/wp-content\/uploads\/2023\/01\/Representacion-de-una-Circunferencia-de-Radio-4.png 530w, https:\/\/micalculadoracientifica.com\/wp-content\/uploads\/2023\/01\/Representacion-de-una-Circunferencia-de-Radio-4-484x500.png 484w\" sizes=\"auto, \" srcset=\"\"><\/figure>\n<\/div>\n<p>\u534a\u5f84 1 \u306e\u5186\u306b\u623b\u308b\u3068\u3001e <sup>i\u03c0<\/sup> (\u30e9\u30b8\u30a2\u30f3\u5358\u4f4d) \u3092\u8868\u3059\u3053\u3068\u306b\u3057\u305f\u5834\u5408\u3001\u6700\u521d\u306b\u6b21\u306e\u3088\u3046\u306b\u8a08\u7b97\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<p class=\"has-text-align-center\"> e <sup>\u03c0i<\/sup> = cos(\u03c0) + i sin(\u03c0)<\/p>\n<p class=\"has-text-align-center\"> <sup>eri<\/sup> = -1 + i 0<\/p>\n<p class=\"has-text-align-center\"><sup>\u30a8\u30ea<\/sup>= -1<\/p>\n<p> e <sup>\u03c0i<\/sup> = -1 \u304c\u5f97\u3089\u308c\u307e\u3059\u3002\u3053\u308c\u306f\u6709\u540d\u306a\u30aa\u30a4\u30e9\u30fc\u6052\u7b49\u5f0f\u3067\u3059\u3002<\/p>\n<p>\u3053\u308c\u304b\u3089\u3001\u8907\u7d20\u6570 e <sup>\u03c0i \u306b<\/sup>\u306f -1 \u306b\u7b49\u3057\u3044\u5b9f\u6570\u90e8\u304c 1 \u3064\u3060\u3051\u3042\u308b\u3053\u3068\u304c\u63a8\u6e2c\u3055\u308c\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u305d\u306e\u8868\u73fe\u306f\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=\"622\" height=\"578\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/representation-graphique-de-lidentite-deuler.webp\" data-src=\"\" alt=\"\u30aa\u30a4\u30e9\u30fc\u6052\u7b49\u5f0f\u306e\u30b0\u30e9\u30d5\u8868\u793a\" class=\"wp-image-11082 lazyload\" data-srcset=\"https:\/\/micalculadoracientifica.com\/wp-content\/uploads\/2023\/01\/Representacion-grafica-de-la-Identidad-de-Euler-1.png 622w, https:\/\/micalculadoracientifica.com\/wp-content\/uploads\/2023\/01\/Representacion-grafica-de-la-Identidad-de-Euler-1-500x465.png 500w\" sizes=\"auto, \" srcset=\"\"><\/figure>\n<\/div>\n<h2 class=\"wp-block-heading\"><span id=\"Aplicaciones_de_la_formula_de_Euler\">\u30aa\u30a4\u30e9\u30fc\u306e\u516c\u5f0f\u306e\u5fdc\u7528<\/span><\/h2>\n<ol>\n<li><strong>\u8907\u7d20\u6570:<\/strong>\u30aa\u30a4\u30e9\u30fc\u306e\u516c\u5f0f\u306f\u3001\u4e09\u89d2\u95a2\u6570\u3068\u8907\u7d20\u6570\u306e\u95a2\u4fc2\u3067\u3059\u3002\u3053\u306e\u5f0f\u304b\u3089\u3001\u8907\u7d20\u6570\u3092\u3055\u307e\u3056\u307e\u306a\u65b9\u6cd5 (\u4e8c\u9805\u3001\u6307\u6570\u3001\u6975) \u3067\u8868\u73fe\u3067\u304d\u307e\u3059\u3002<\/li>\n<li><strong>\u30c6\u30a4\u30e9\u30fc\u7d1a\u6570:<\/strong>\u30aa\u30a4\u30e9\u30fc\u306e\u516c\u5f0f\u306f\u30c6\u30a4\u30e9\u30fc\u7d1a\u6570\u95a2\u6570\u3092\u62e1\u5f35\u3059\u308b\u305f\u3081\u306b\u4f7f\u7528\u3055\u308c\u307e\u3059\u3002<\/li>\n<li><strong>\u7dda\u5f62\u4ee3\u6570:<\/strong>\u30aa\u30a4\u30e9\u30fc\u306e\u516c\u5f0f\u306f\u3001\u7dda\u5f62\u4ee3\u6570\u306e\u57fa\u672c\u7684\u306a\u624b\u6cd5\u3067\u3042\u308b\u884c\u5217\u306e\u5bfe\u89d2\u5316\u3067\u4f7f\u7528\u3055\u308c\u307e\u3059\u3002<\/li>\n<li><strong>\u5fae\u7a4d\u5206\u304a\u3088\u3073\u7a4d\u5206:<\/strong>\u30aa\u30a4\u30e9\u30fc\u306e\u516c\u5f0f\u306f\u3001\u5fae\u7a4d\u5206\u306b\u95a2\u9023\u3059\u308b\u624b\u6cd5\u3067\u3042\u308b\u5fae\u5206\u65b9\u7a0b\u5f0f\u306e\u89e3\u6cd5\u306b\u4f7f\u7528\u3055\u308c\u307e\u3059\u3002<\/li>\n<\/ol>\n<p>\u3055\u3089\u306b\u3001\u591a\u304f\u306e\u6570\u5b66\u7406\u8ad6\u3084\u3001\u7269\u7406\u5b66\u306e\u5b9a\u7406\u306a\u3069\u3001\u6570\u5b66\u306e\u9818\u57df\u5916\u306e\u6982\u5ff5\u306b\u3082\u5fdc\u7528\u3067\u304d\u307e\u3059\u3002<\/p>\n<h2 class=\"wp-block-heading\"><span id=\"Conclusiones\">\u7d50\u8ad6<\/span><\/h2>\n<p>\u3053\u306e\u8a18\u4e8b\u3067\u898b\u3066\u304d\u305f\u3088\u3046\u306b\u3001\u30aa\u30a4\u30e9\u30fc\u306e\u516c\u5f0f\u306e\u6700\u5927\u306e\u5fdc\u7528\u306f<strong>\u8907\u7d20\u6570<\/strong>\u3001\u3064\u307e\u308a\u305d\u306e\u6570\u5024\u8868\u73fe\u3068\u305d\u306e\u8868\u73fe\u3067\u3059\u3002\u3053\u308c\u304c\u4ee3\u6570\u306b\u5fdc\u7528\u3067\u304d\u308b\u3053\u3068\u306f\u78ba\u304b\u3067\u3059\u304c\u3001\u672c\u8cea\u7684\u306b\u306f\u8907\u7d20\u6570\u3092\u6271\u3046\u3053\u3068\u306b\u306a\u308a\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u305d\u308c\u3089\u3092\u3088\u304f\u7406\u89e3\u3059\u308b\u3053\u3068\u304c\u4f55\u3088\u308a\u3082\u91cd\u8981\u3067\u3059\u3002<\/p>\n<p>\u305d\u3046\u306f\u8a00\u3063\u3066\u3082\u3001\u3053\u306e\u6982\u5ff5\u3092\u3088\u308a\u3088\u304f\u7406\u89e3\u3059\u308b\u306e\u306b\u5f79\u7acb\u3064\u3053\u3068\u3092\u9858\u3063\u3066\u3044\u307e\u3059\u3002\u8cea\u554f\u304c\u3042\u308b\u5834\u5408\u3001\u307e\u305f\u306f\u30a8\u30af\u30b5\u30b5\u30a4\u30ba\u306e\u65b9\u6cd5\u304c\u308f\u304b\u3089\u306a\u3044\u5834\u5408\u306f\u3001\u9060\u616e\u306a\u304f\u30b3\u30e1\u30f3\u30c8\u6b04\u306b\u66f8\u3044\u3066\u304f\u3060\u3055\u3044\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u30aa\u30a4\u30e9\u30fc\u306e\u516c\u5f0f\u306f\u3001\u8907\u7d20\u6570\u3068\u4e09\u89d2\u6cd5\u3068\u3044\u3046\u6570\u5b66\u306e 2 \u3064\u306e\u57fa\u672c\u6982\u5ff5\u3092\u7d50\u3073\u4ed8\u3051\u308b\u6570\u5b66\u7684\u6982\u5ff5\u3067\u3059\u3002\u3053\u306e\u305f\u3081\u3001\u3053\u308c\u306f\u6700\u3082\u91cd\u8981\u306a\u6982\u5ff5\u5316\u306e 1 \u3064\u3067\u3042\u308a\u3001\u6570\u5b66\u5168\u4f53\u3067\u6700\u3082\u591a\u304f\u306e\u5fdc\u7528\u304c\u53ef\u80fd\u3067\u3059\u3002\u3053\u306e\u8a18\u4e8b\u3067\u306f\u3001\u3053\u306e\u5f0f\u304c\u3069\u306e\u3088\u3046\u306a\u3082\u306e\u306a\u306e\u304b\u3001 &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%e3%83%95%e3%82%a9%e3%83%bc%e3%83%9f%e3%83%a5%e3%83%a9\/\"> <span class=\"screen-reader-text\">\u30aa\u30a4\u30e9\u30fc\u306e\u516c\u5f0f\u306e\u5b9f\u8a3c\u3068\u5fdc\u7528<\/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-174","post","type-post","status-publish","format-standard","hentry","category-9","category-26"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.2 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u30aa\u30a4\u30e9\u30fc\u306e\u516c\u5f0f\u306e\u5b9f\u8a3c\u3068\u5fdc\u7528 - Mathority<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/mathority.org\/ja\/\u30c7\u30e5\u30fc\u30e9\u30fc\u30d5\u30a9\u30fc\u30df\u30e5\u30e9\/\" \/>\n<meta property=\"og:locale\" content=\"ja_JP\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u30aa\u30a4\u30e9\u30fc\u306e\u516c\u5f0f\u306e\u5b9f\u8a3c\u3068\u5fdc\u7528 - Mathority\" \/>\n<meta property=\"og:description\" content=\"\u30aa\u30a4\u30e9\u30fc\u306e\u516c\u5f0f\u306f\u3001\u8907\u7d20\u6570\u3068\u4e09\u89d2\u6cd5\u3068\u3044\u3046\u6570\u5b66\u306e 2 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