[{"@context":"http:\/\/schema.org\/","@type":"BlogPosting","@id":"https:\/\/wiki.edu.vn\/jp\/wiki24\/archives\/298875#BlogPosting","mainEntityOfPage":"https:\/\/wiki.edu.vn\/jp\/wiki24\/archives\/298875","headline":"\u30b2\u30eb\u30d5\u30a9\u30f3\u30c8\uff1d\u30b7\u30e5\u30ca\u30a4\u30c0\u30fc\u306e\u5b9a\u7406 – Wikipedia","name":"\u30b2\u30eb\u30d5\u30a9\u30f3\u30c8\uff1d\u30b7\u30e5\u30ca\u30a4\u30c0\u30fc\u306e\u5b9a\u7406 – Wikipedia","description":"\u30b2\u30eb\u30d5\u30a9\u30f3\u30c8\uff1d\u30b7\u30e5\u30ca\u30a4\u30c0\u30fc\u306e\u5b9a\u7406 (\u30b2\u30eb\u30d5\u30a9\u30f3\u30c8\uff1d\u30b7\u30e5\u30ca\u30a4\u30c0\u30fc\u306e\u3066\u3044\u308a\u3001\u82f1: Gel’fond-Schneider’s theorem) \u306f\u3001\u6307\u6570\u95a2\u6570\u306e\u5024\u306e\u8d85\u8d8a\u6027\u306b\u95a2\u3059\u308b\u5b9a\u7406\u3067\u3042\u308b\u30021934\u5e74\u306b\u3001\u30a2\u30ec\u30af\u30b5\u30f3\u30c9\u30eb\u30fb\u30b2\u30eb\u30d5\u30a9\u30f3\u30c8\uff08\u82f1\u8a9e\u7248\uff09\u3068\u30c6\u30aa\u30c9\u30fc\u30eb\u30fb\u30b7\u30e5\u30ca\u30a4\u30c0\u30fc\uff08\u82f1\u8a9e\u7248\uff09\u306b\u3088\u3063\u3066\u3001\u305d\u308c\u305e\u308c\u72ec\u7acb\u306b\u8a3c\u660e\u3055\u308c\u305f\u3002 \u5b9a\u7406\u306e\u4e3b\u5f35[\u7de8\u96c6] \u03b1 \u3092 0, 1 \u4ee5\u5916\u306e\u4ee3\u6570\u7684\u6570\u3001\u03b2 \u3092\u6709\u7406\u6570\u3067\u306f\u306a\u3044\u4ee3\u6570\u7684\u6570\u3068\u3057\u305f\u3068\u304d\u3001 \u03b1\u03b2{displaystyle alpha ^{beta }} \u306f\u3001\u8d85\u8d8a\u6570\u3067\u3042\u308b\u3002 \u7cfb1 \u03b11,\u03b12{displaystyle alpha","datePublished":"2022-04-28","dateModified":"2022-04-28","author":{"@type":"Person","@id":"https:\/\/wiki.edu.vn\/jp\/wiki24\/archives\/author\/lordneo#Person","name":"lordneo","url":"https:\/\/wiki.edu.vn\/jp\/wiki24\/archives\/author\/lordneo","image":{"@type":"ImageObject","@id":"https:\/\/secure.gravatar.com\/avatar\/c9645c498c9701c88b89b8537773dd7c?s=96&d=mm&r=g","url":"https:\/\/secure.gravatar.com\/avatar\/c9645c498c9701c88b89b8537773dd7c?s=96&d=mm&r=g","height":96,"width":96}},"publisher":{"@type":"Organization","name":"Enzyklop\u00e4die","logo":{"@type":"ImageObject","@id":"https:\/\/wiki.edu.vn\/wiki4\/wp-content\/uploads\/2023\/11\/book.png","url":"https:\/\/wiki.edu.vn\/wiki4\/wp-content\/uploads\/2023\/11\/book.png","width":600,"height":60}},"image":{"@type":"ImageObject","@id":"https:\/\/wikimedia.org\/api\/rest_v1\/media\/math\/render\/svg\/6de5da8b01b994209da710351f15e159fee66568","url":"https:\/\/wikimedia.org\/api\/rest_v1\/media\/math\/render\/svg\/6de5da8b01b994209da710351f15e159fee66568","height":"","width":""},"url":"https:\/\/wiki.edu.vn\/jp\/wiki24\/archives\/298875","about":["Wiki"],"wordCount":1760,"articleBody":"\u30b2\u30eb\u30d5\u30a9\u30f3\u30c8\uff1d\u30b7\u30e5\u30ca\u30a4\u30c0\u30fc\u306e\u5b9a\u7406 (\u30b2\u30eb\u30d5\u30a9\u30f3\u30c8\uff1d\u30b7\u30e5\u30ca\u30a4\u30c0\u30fc\u306e\u3066\u3044\u308a\u3001\u82f1: Gel’fond-Schneider’s theorem) \u306f\u3001\u6307\u6570\u95a2\u6570\u306e\u5024\u306e\u8d85\u8d8a\u6027\u306b\u95a2\u3059\u308b\u5b9a\u7406\u3067\u3042\u308b\u30021934\u5e74\u306b\u3001\u30a2\u30ec\u30af\u30b5\u30f3\u30c9\u30eb\u30fb\u30b2\u30eb\u30d5\u30a9\u30f3\u30c8\uff08\u82f1\u8a9e\u7248\uff09\u3068\u30c6\u30aa\u30c9\u30fc\u30eb\u30fb\u30b7\u30e5\u30ca\u30a4\u30c0\u30fc\uff08\u82f1\u8a9e\u7248\uff09\u306b\u3088\u3063\u3066\u3001\u305d\u308c\u305e\u308c\u72ec\u7acb\u306b\u8a3c\u660e\u3055\u308c\u305f\u3002\u5b9a\u7406\u306e\u4e3b\u5f35[\u7de8\u96c6]  \u03b1 \u3092 0, 1 \u4ee5\u5916\u306e\u4ee3\u6570\u7684\u6570\u3001\u03b2 \u3092\u6709\u7406\u6570\u3067\u306f\u306a\u3044\u4ee3\u6570\u7684\u6570\u3068\u3057\u305f\u3068\u304d\u3001\u03b1\u03b2{displaystyle alpha ^{beta }} \u306f\u3001\u8d85\u8d8a\u6570\u3067\u3042\u308b\u3002\u7cfb1  \u03b11,\u03b12{displaystyle alpha _{1},alpha _{2}} \u3092 0, 1 \u4ee5\u5916\u306e\u4ee3\u6570\u7684\u6570\u3068\u3059\u308b\u3002log\u2061\u03b11\/log\u2061\u03b12{displaystyle log alpha _{1}\/log alpha _{2}} \u306f\u3001\u6709\u7406\u6570\u3067\u3042\u308b\u304b\u8d85\u8d8a\u6570\u3067\u3042\u308b\u3002\u7cfb2\u03b11,\u03b12,\u03b21,\u03b22{displaystyle alpha _{1},alpha _{2},beta _{1},beta _{2}} \u3092 0 \u4ee5\u5916\u306e\u4ee3\u6570\u7684\u6570\u3068\u3059\u308b\u3002\u3082\u3057\u3001log\u2061\u03b11,log\u2061\u03b12{displaystyle log alpha _{1},log alpha _{2}} \u304c\u6709\u7406\u6570\u4f53\u4e0a\u7dda\u5f62\u72ec\u7acb\u3067\u3042\u308b\u306a\u3089\u3070\u3001  \u03b21log\u2061\u03b11+\u03b22log\u2061\u03b12\u22600{displaystyle beta _{1}log alpha _{1}+beta _{2}log alpha _{2}neq 0} \u3067\u3042\u308b\u3002\u30b2\u30eb\u30d5\u30a9\u30f3\u30c8\uff1d\u30b7\u30e5\u30ca\u30a4\u30c0\u30fc\u306e\u5b9a\u7406\u3092\u7528\u3044\u3066\u3001\u4ee5\u4e0b\u306e\u6570\u304c\u8d85\u8d8a\u6570\u3067\u3042\u308b\u3053\u3068\u304c\u793a\u3055\u308c\u308b\u3002\u30c0\u30d5\u30a3\u30c3\u30c8\u30fb\u30d2\u30eb\u30d9\u30eb\u30c8\u306f\u30011900\u5e74\u306b\u30d1\u30ea\u3067\u884c\u308f\u308c\u305f\u56fd\u969b\u6570\u5b66\u8005\u4f1a\u8b70\u306b\u304a\u3044\u3066\u3001\u30d2\u30eb\u30d9\u30eb\u30c8\u306e23\u306e\u554f\u984c\u3068\u547c\u3070\u308c\u308b23\u500b\u306e\u554f\u984c\u306e\u3046\u3061\u30017\u756a\u76ee\u306e\u554f\u984c\u3068\u3057\u3066\u3001\u300ca \u304c 0 \u3067\u3082 1 \u3067\u3082\u306a\u3044\u4ee3\u6570\u7684\u6570\u3067\u3001b \u304c\u4ee3\u6570\u7684\u7121\u7406\u6570\u3067\u3042\u308b\u3068\u304d\u3001ab \u306f\u8d85\u8d8a\u6570\u3067\u3042\u308b\u304b\u300d\u3092\u63d0\u51fa\u3057\u305f\u3002\u305d\u306e\u5f8c\u30011929\u5e74\u306b\u3001\u30a2\u30ec\u30af\u30b5\u30f3\u30c9\u30eb\u30fb\u30b2\u30eb\u30d5\u30a9\u30f3\u30c8\u306b\u3088\u3063\u3066\u3001\u03b2 \u304c\u865a\u4e8c\u6b21\u4f53\u306e\u5834\u5408\u306b\u3001\u03b1\u03b2{displaystyle alpha ^{beta }} \u304c\u8d85\u8d8a\u6570\u3067\u3042\u308b\u3053\u3068\u3092\u8a3c\u660e\u3057\u3001\u4f8b\u3048\u3070\u3001e\u03c0{displaystyle e^{pi }} \u304c\u8d85\u8d8a\u6570\u3067\u3042\u308b\u3053\u3068\u3092\u793a\u3057\u305f\u3002\u305d\u306e\u76f4\u5f8c\u3001\u30b2\u30eb\u30d5\u30a9\u30f3\u30c8\u306e\u65b9\u6cd5\u3092\u5143\u306b\u3057\u3066\u3001\u30ab\u30fc\u30eb\u30fb\u30b8\u30fc\u30b2\u30eb\u306f\u3001\u03b2 \u304c\u5b9f\u4e8c\u6b21\u4f53\u306e\u5834\u5408\u306b\u6210\u308a\u7acb\u3064\u3053\u3068\u3092\u793a\u3057\u305f\u304c\u3001\u767a\u8868\u306f\u3055\u308c\u306a\u304b\u3063\u305f\u3002\u7fcc\u5e74(1930\u5e74)\u3001\u30ed\u30c7\u30a3\u30aa\u30f3\u30fb\u30af\u30ba\u30df\u30f3\uff08\u82f1\u8a9e\u7248\uff09\u306f\u3001\u30b2\u30eb\u30d5\u30a9\u30f3\u30c8\u306e\u65b9\u6cd5\u306b\u57fa\u3065\u3044\u3066\u3001\u540c\u3058\u7d50\u679c\u3092\u767a\u8868\u3057\u305f\u30021934\u5e74\u306b\u3001\u30b2\u30eb\u30d5\u30a9\u30f3\u30c8\u3068\u30c6\u30aa\u30c9\u30fc\u30eb\u30fb\u30b7\u30e5\u30ca\u30a4\u30c0\u30fc\u304c\u305d\u308c\u305e\u308c\u72ec\u7acb\u306b\u3001\u03b2 \u304c\u4e00\u822c\u306e\u4ee3\u6570\u7684\u6570\u306e\u5834\u5408\u306b\u6210\u308a\u7acb\u3064\u3053\u3068\u3092\u8a3c\u660e\u3057\u305f\u3002\u3053\u306e\u7d50\u679c\u3001\u30d2\u30eb\u30d9\u30eb\u30c8\u306e\u7b2c7\u554f\u984c\u304c\u80af\u5b9a\u7684\u306b\u8a3c\u660e\u3055\u308c\u305f\u3002\u30d2\u30eb\u30d9\u30eb\u30c8\u306f\u3001\u7b2c7\u554f\u984c\u306f\u5927\u5909\u96e3\u3057\u3044\u554f\u984c\u3067\u3042\u308a\u3001\u30ea\u30fc\u30de\u30f3\u4e88\u60f3\u306e\u65b9\u304c\u65e9\u304f\u89e3\u6c7a\u3059\u308b\u306e\u3067\u306f\u306a\u3044\u304b\u3068\u601d\u3063\u3066\u3044\u305f\u304c\u300110\u5e74\u4f59\u308a\u3067\u8a3c\u660e\u3055\u308c\u305f\u3053\u3068\u3092\u805e\u3044\u3066\u3001\u5927\u5909\u9a5a\u3044\u305f\u3068\u3044\u3046\u3002\u30b2\u30eb\u30d5\u30a9\u30f3\u30c8\uff1d\u30b7\u30e5\u30ca\u30a4\u30c0\u30fc\u306e\u5b9a\u7406\u3088\u308a\u30012\u3064\u306e\u4ee3\u6570\u7684\u6570\u306e\u5bfe\u6570\u304c\u6709\u7406\u6570\u4f53\u4e0a\u7dda\u5f62\u72ec\u7acb\u3067\u3042\u308c\u3070\u3001\u4ee3\u6570\u7684\u6570\u4f53\u4e0a\u7dda\u5f62\u72ec\u7acb\u3068\u306a\u308b\u304c(\u7cfb2)\u3001\u3053\u306e\u7d50\u679c\u3092 2\u4ee5\u4e0a\u306e\u5bfe\u6570\u306b\u62e1\u5f35\u3057\u305f\u3082\u306e\u304c\u3001\u30a2\u30e9\u30f3\u30fb\u30d9\u30a4\u30ab\u30fc\u306b\u3088\u3063\u3066\u30011966\u5e74\u306b\u767a\u8868\u3055\u308c\u305f(\u30d9\u30a4\u30ab\u30fc\u306e\u5b9a\u7406\u3092\u53c2\u7167)\u3002^ \u6574\u6570 k,\u00a0l{displaystyle k, l} \u306b\u5bfe\u3057\u3066\u3001\u03b1k\u03b2l=1{displaystyle alpha ^{k}beta ^{l}=1} \u306a\u3089\u3070\u3001k=l=0{displaystyle k=l=0} \u304c\u6210\u308a\u7acb\u3064\u3068\u304d\u3001\u03b1,\u00a0\u03b2{displaystyle alpha , beta } \u306f\u3001\u4e57\u6cd5\u7684\u72ec\u7acb\u3067\u3042\u308b\u3068\u3044\u3046\u3002\u95a2\u9023\u9805\u76ee[\u7de8\u96c6]\u53c2\u8003\u6587\u732e[\u7de8\u96c6]"},{"@context":"http:\/\/schema.org\/","@type":"BreadcrumbList","itemListElement":[{"@type":"ListItem","position":1,"item":{"@id":"https:\/\/wiki.edu.vn\/jp\/wiki24\/#breadcrumbitem","name":"Enzyklop\u00e4die"}},{"@type":"ListItem","position":2,"item":{"@id":"https:\/\/wiki.edu.vn\/jp\/wiki24\/archives\/298875#breadcrumbitem","name":"\u30b2\u30eb\u30d5\u30a9\u30f3\u30c8\uff1d\u30b7\u30e5\u30ca\u30a4\u30c0\u30fc\u306e\u5b9a\u7406 – Wikipedia"}}]}]