[{"@context":"http:\/\/schema.org\/","@type":"BlogPosting","@id":"https:\/\/wiki.edu.vn\/all2jp\/wiki10\/archives\/3428#BlogPosting","mainEntityOfPage":"https:\/\/wiki.edu.vn\/all2jp\/wiki10\/archives\/3428","headline":"\u30e1\u30a4\u30f3\u30d5\u30a1\u30a4\u30d0\u30fc\u30d0\u30f3\u30c9\u30eb – \u30a6\u30a3\u30ad\u30da\u30c7\u30a3\u30a2","name":"\u30e1\u30a4\u30f3\u30d5\u30a1\u30a4\u30d0\u30fc\u30d0\u30f3\u30c9\u30eb – \u30a6\u30a3\u30ad\u30da\u30c7\u30a3\u30a2","description":"before-content-x4 \u305d\u308c\u306f\u6570\u5b66\u3067\u3059 \u30e1\u30a4\u30f3\u30d5\u30a1\u30a4\u30d0\u30fc\u30d0\u30f3\u30c9\u30eb \u3001 \u307e\u305f \u4e3b\u30d5\u30a1\u30a4\u30d0\u30fc\u30d0\u30f3\u30c9\u30eb \u307e\u305f \u30d0\u30f3\u30c9\u30eb \u3001\u75b2\u308c\u305f\u88fd\u54c1\u304c\u5f62\u5f0f\u5316\u3055\u308c\u3066\u304a\u308a\u3001\u3068\u308a\u308f\u3051\u7269\u7406\u5b66\u3067\u4f7f\u7528\u3055\u308c\u3066\u3044\u308b\u9055\u3044\u306e\u7406\u8ad6\u3001\u7279\u306b\u30e4\u30f3\u30df\u30eb\u306e\u5206\u91ce\u3092\u8aac\u660e\u3059\u308b\u9055\u3044\u306e\u5e7e\u4f55\u5b66\u306e\u6982\u5ff5\u3002 after-content-x4 \u539f\u5247\u306f\u3001\u30c7\u30ab\u30eb\u30c8\u88fd\u54c1\u306e\u6982\u5ff5\u3092\u4e00\u822c\u5316\u3057\u307e\u3059 \u30d0\u30c4 \u00d7 g {displaystyle xtimes g} \u90e8\u5c4b \u30d0\u30c4 {displaystyle","datePublished":"2022-06-24","dateModified":"2022-06-24","author":{"@type":"Person","@id":"https:\/\/wiki.edu.vn\/all2jp\/wiki10\/archives\/author\/lordneo#Person","name":"lordneo","url":"https:\/\/wiki.edu.vn\/all2jp\/wiki10\/archives\/author\/lordneo","image":{"@type":"ImageObject","@id":"https:\/\/secure.gravatar.com\/avatar\/44a4cee54c4c053e967fe3e7d054edd4?s=96&d=mm&r=g","url":"https:\/\/secure.gravatar.com\/avatar\/44a4cee54c4c053e967fe3e7d054edd4?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\/08\/download.jpg","url":"https:\/\/wiki.edu.vn\/wiki4\/wp-content\/uploads\/2023\/08\/download.jpg","width":600,"height":60}},"image":{"@type":"ImageObject","@id":"https:\/\/wikimedia.org\/api\/rest_v1\/media\/math\/render\/svg\/9ea33ed64a6b293ac79ac82b481e3bc30eddd42a","url":"https:\/\/wikimedia.org\/api\/rest_v1\/media\/math\/render\/svg\/9ea33ed64a6b293ac79ac82b481e3bc30eddd42a","height":"","width":""},"url":"https:\/\/wiki.edu.vn\/all2jp\/wiki10\/archives\/3428","wordCount":13237,"articleBody":"     (adsbygoogle = window.adsbygoogle || []).push({});before-content-x4\u305d\u308c\u306f\u6570\u5b66\u3067\u3059 \u30e1\u30a4\u30f3\u30d5\u30a1\u30a4\u30d0\u30fc\u30d0\u30f3\u30c9\u30eb \u3001 \u307e\u305f \u4e3b\u30d5\u30a1\u30a4\u30d0\u30fc\u30d0\u30f3\u30c9\u30eb \u307e\u305f \u30d0\u30f3\u30c9\u30eb \u3001\u75b2\u308c\u305f\u88fd\u54c1\u304c\u5f62\u5f0f\u5316\u3055\u308c\u3066\u304a\u308a\u3001\u3068\u308a\u308f\u3051\u7269\u7406\u5b66\u3067\u4f7f\u7528\u3055\u308c\u3066\u3044\u308b\u9055\u3044\u306e\u7406\u8ad6\u3001\u7279\u306b\u30e4\u30f3\u30df\u30eb\u306e\u5206\u91ce\u3092\u8aac\u660e\u3059\u308b\u9055\u3044\u306e\u5e7e\u4f55\u5b66\u306e\u6982\u5ff5\u3002        (adsbygoogle = window.adsbygoogle || []).push({});after-content-x4\u539f\u5247\u306f\u3001\u30c7\u30ab\u30eb\u30c8\u88fd\u54c1\u306e\u6982\u5ff5\u3092\u4e00\u822c\u5316\u3057\u307e\u3059 \u30d0\u30c4 \u00d7 g {displaystyle xtimes g} \u90e8\u5c4b \u30d0\u30c4 {displaystyle x} \u30c8\u30dd\u30ed\u30b8\u30fc\u30b0\u30eb\u30fc\u30d7        (adsbygoogle = window.adsbygoogle || []).push({});after-content-x4g {displaystyle g} \u3002\u30c7\u30ab\u30eb\u30c8\u88fd\u54c1\u306e\u3088\u3046\u306b \u30d0\u30c4 \u00d7 g {displaystyle xtimes g} \u307e\u305f\u3001\u539f\u5247\u306e\u675f\u3082\u3042\u308a\u307e\u3059 p {displaystyle p} \u6b21\u306e\u30d7\u30ed\u30d1\u30c6\u30a3\uff1a \u306e\u30b0\u30eb\u30fc\u30d7\u64cd\u4f5c g {displaystyle g} \u306e\u4e0a p {displaystyle p} \u3068\u540c\u3058\u3088\u3046\u306b \uff08 \u30d0\u30c4 \u3001 g \uff09\uff09 h = \uff08 \u30d0\u30c4 \u3001 g h \uff09\uff09 {displaystyle\uff08x\u3001g\uff09h =\uff08x\u3001gh\uff09} \u88fd\u54c1\u5ba4\u7528 \u306e\u6295\u5f71\u30de\u30c3\u30d4\u30f3\u30b0 p {displaystyle p} \u5f8c \u30d0\u30c4 \u3001 {displaystyle x\u3001} \u3053\u308c\u306f\u3001\u88fd\u54c1\u30b9\u30da\u30fc\u30b9\u304c\u767a\u751f\u3057\u305f\u5834\u5408\u306e\u6700\u521d\u306e\u8981\u56e0\u3078\u306e\u6295\u5f71\u3092\u8868\u3057\u307e\u3059\u3002 \uff08 \u30d0\u30c4 \u3001 g \uff09\uff09 \u2192 \u30d0\u30c4 {displaystyle\uff08x\u3001g\uff09\u304b\u3089x} \u3002 \u88fd\u54c1\u306e\u65bd\u8a2d\u3068\u306f\u7570\u306a\u308a\u3001\u30b0\u30eb\u30fc\u30d7\u306e\u4e2d\u7acb\u8981\u7d20\u306e\u305f\u3081\u306b\u88fd\u54c1\u306e\u5834\u5408\u306e\u5834\u5408\u306e\u3088\u3046\u306b\u3001\u4e3b\u8981\u306a\u30d0\u30f3\u30c9\u30eb\u306b\u306f\u597d\u307e\u3057\u3044\u30ab\u30c3\u30c8\u304c\u3042\u308a\u307e\u305b\u3093        (adsbygoogle = window.adsbygoogle || []).push({});after-content-x4g {displaystyle g} \u4e0e\u3048\u3089\u308c\u305f\u3002\u305d\u306e\u305f\u3081\u3001\u8981\u7d20\u304c\u3042\u308a\u307e\u3059 \u30d0\u30c4 \u2208 \u30d0\u30c4 {displaystyle\u3092\u304a\u9858\u3044\u3057\u307e\u3059x} \u597d\u307e\u3057\u3044\u8981\u7d20\u306f\u3042\u308a\u307e\u305b\u3093 p {displaystyle p} \u306e\u8b58\u5225\u3068\u3057\u3066 \uff08 \u30d0\u30c4 \u3001 \u305d\u3046\u3067\u3059 \uff09\uff09 {displaystyle\uff08x\u3001e\uff09} \u3002\u307e\u305f\u3001\u4e00\u822c\u7684\u306b\u5b89\u5b9a\u3057\u305f\u6295\u5f71\u306f\u3042\u308a\u307e\u305b\u3093 g \u3001 {displaystyle g\u3001} \u88fd\u54c1\u30b9\u30da\u30fc\u30b9\u306e2\u756a\u76ee\u306e\u8981\u7d20\u3078\u306e\u6295\u5f71\u3092\u4e00\u822c\u5316\u3057\u307e\u3059\u3002 \uff08 \u30d0\u30c4 \u3001 g \uff09\uff09 \u2192 g {displaystyle\uff08x\u3001g\uff09\u304b\u3089g} \u3002\u3057\u305f\u304c\u3063\u3066\u3001\u539f\u7406\u306e\u30d0\u30f3\u30c9\u30eb\u306f\u3001\u305f\u3068\u3048\u3044\u304f\u3064\u304b\u306e\u8ffd\u52a0\u306e\u4eee\u5b9a\u304c\u884c\u308f\u308c\u305f\u3068\u3057\u3066\u3082\u3001\u30d0\u30f3\u30c9\u30eb\u306e\u8868\u73fe\u3092\u88fd\u54c1\u30eb\u30fc\u30e0\u3068\u3057\u3066\u59a8\u3052\u308b\u8907\u96d1\u306a\u30c8\u30dd\u30ed\u30b8\u3092\u6301\u3064\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002 \u6a5f\u80fd f \uff1a \u30d0\u30c4 \u2192 g {displaystyle fcolon xRightArrow g} \u4e9b\u7d30\u306a\u675f\u306e\u30ab\u30c3\u30c8\u3068\u3057\u3066\u4f7f\u7528\u3067\u304d\u307e\u3059 pi \uff1a \u30d0\u30c4 \u00d7 g \u2192 \u30d0\u30c4 {displaystyle pi colon xtimes grightarrow x} \u89e3\u91c8\u3001\u3064\u307e\u308a\u3001 s \uff08 \u30d0\u30c4 \uff09\uff09 = \uff08 \u30d0\u30c4 \u3001 f \uff08 \u30d0\u30c4 \uff09\uff09 \uff09\uff09 {displaystyle s\uff08x\uff09=\uff08x\u3001f\uff08x\uff09\uff09} \u3002\u30d7\u30ea\u30f3\u30b7\u30d1\u30eb\u30d0\u30f3\u30c9\u30eb\u306e\u30ab\u30c3\u30c8\u306f\u3001G\u306b\u5024\u3059\u308b\u30a4\u30e9\u30b9\u30c8\u306e\u6982\u5ff5\u3092\u4e00\u822c\u5316\u3057\u307e\u3059\u3002 \u539f\u5247\u306e\u675f\u306f\u7e4a\u7dad\u306e\u675f\u3067\u3059 p {displaystyle p} \u90e8\u5c4b\u306e\u4e0a \u30d0\u30c4 {displaystyle x} \u6295\u5f71\u4ed8\u304d pi \uff1a p \u2192 \u30d0\u30c4 {displaystyle pi colon pto x} \u3001\u4e00\u5b9a\u306e\u6b63\u3057\u3044\u624b\u8853\u3092\u63d0\u4f9b\u3057\u307e\u3059 p \u00d7 g \u2192 p {displaystyle ptimes grightarrow p} \uff08\u6b21\u306e\u3088\u3046\u306b\u66f8\u304d\u7559\u3081\u307e\u3059 \uff08 p \u3001 g \uff09\uff09 \u21a6 p g {displaystyle\uff08p\u3001g\uff09mapsto pg} \uff09\u30c8\u30dd\u30ed\u30b8\u30fc\u30b0\u30eb\u30fc\u30d7 g {displaystyle g} \u3001\u64cd\u4f5c\u304c\u305d\u308c\u81ea\u4f53\u306e\u3059\u3079\u3066\u306e\u7e4a\u7dad\u3092\u63cf\u5199\u3059\u308b\u3088\u3046\u306b\uff08\u3064\u307e\u308a\u3001 pi \uff08 p g \uff09\uff09 = pi \uff08 p \uff09\uff09 {displaystyle pi\uff08pg\uff09= pi\uff08p\uff09} \u3059\u3079\u3066\u306e\u305f\u3081\u306b p \u2208 p {DisplayStyle Pin P} \u305d\u3057\u3066\u3059\u3079\u3066 g \u2208 g {displaystyle gin g} \uff09\u305d\u3057\u3066\u3001\u3059\u3079\u3066\u306e\u30d5\u30a1\u30a4\u30d0\u30fc\u3067\u306f\u3001\u30b0\u30eb\u30fc\u30d7\u30d5\u30ea\u30fc\uff08\u3059\u3079\u3066\u306e\u30dd\u30a4\u30f3\u30c8\u306f\u30b0\u30eb\u30fc\u30d7\u4e0d\u5909\u306e\u30cb\u30e5\u30fc\u30c8\u30e9\u30eb\u8981\u7d20\u306e\u307f\u306e\u4e0b\u306b\u3042\u308a\u307e\u3059\uff09\u3068\u30c8\u30e9\u30f3\u30b7\u30c6\u30a3\u30d6\uff08\u7e4a\u7dad\u306e\u3059\u3079\u3066\u306e\u30dd\u30a4\u30f3\u30c8\u304c\u4ed6\u306e\u30dd\u30a4\u30f3\u30c8\u306b\u3088\u3063\u3066\u4ed6\u306e\u30dd\u30a4\u30f3\u30c8\u306b\u5230\u9054\u3055\u308c\u307e\u3059\uff09\u3002\u30b0\u30eb\u30fc\u30d7 g {displaystyle g} \u547c\u3070\u308c\u3066\u3044\u307e\u3059 \u69cb\u9020\u30b0\u30eb\u30fc\u30d7 \u4e3b\u8981\u306a\u30d0\u30f3\u30c9\u30eb\u306e\u3002 \u305d\u308c\u306f p {displaystyle p} \u3068 \u30d0\u30c4 {displaystyle x} \u6ed1\u3089\u304b\u306a\u30de\u30cb\u30db\u30fc\u30eb\u30c9\u3001\u69cb\u9020\u30b0\u30eb\u30fc\u30d7A\u5618\u30b0\u30eb\u30fc\u30d7\u3001\u304a\u3088\u3073\u64cd\u4f5c\u81ea\u4f53\u304c\u30b9\u30e0\u30fc\u30ba\u306b\u3001\u305d\u308c\u304c\u4e3b\u8981\u306a\u30d0\u30f3\u30c9\u30eb\u306e\u540d\u524d\u3067\u3059 \u6ed1\u3089\u304b\u306a\u30d0\u30f3\u30c9\u30eb \u3002 \u4ed6\u306e\u30d5\u30a1\u30a4\u30d0\u30fc\u30d0\u30f3\u30c9\u30eb\u3068\u540c\u69d8\u306b\u3001\u6295\u5f71\u306f\u30c8\u30dd\u30ed\u30b8\u30fc\u7684\u306b\u4e9b\u7d30\u306a\u3053\u3068\u3092\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\uff1a\u3060\u304b\u3089\u3059\u3079\u3066\u304c\u3042\u308a\u307e\u3059 \u30d0\u30c4 \u2208 \u30d0\u30c4 {displaystyle\u3092\u304a\u9858\u3044\u3057\u307e\u3059x} \u30aa\u30fc\u30d7\u30f3\u74b0\u5883 \u306e \u2282 \u30d0\u30c4 {displaystyle usubset x} \u3001 \u3068\u306a\u308b\u3053\u3068\u306b\u3088\u3063\u3066 pi  –  \u521d\u3081 \uff08 \u306e \uff09\uff09 {displaystyle pi ^{ –  1}\uff08u\uff09} \u30db\u30fc\u30de\u30fc\u30d5\u3082 \u306e \u00d7 g {displaystyle utimes g} \u3002\u5404\u7e4a\u7dad\u306f\u3001\u30c8\u30dd\u30ed\u30b8\u30ab\u30eb\u9818\u57df\u3068\u898b\u306a\u3055\u308c\u3066\u3044\u308b\u69cb\u9020\u30b0\u30eb\u30fc\u30d7\u306b\u540c\u8cea\u7684\u3067\u3059 g {displaystyle g} \u3002\u30b0\u30eb\u30fc\u30d7\u306e\u624b\u8853\u3092\u8003\u616e\u3057\u3066\u3001\u4e3b\u8981\u306a\u30d0\u30f3\u30c9\u30eb\u306e\u4e9b\u7d30\u306a\u3053\u3068\u306f\u53ef\u80fd\u3067\u3059\u3002 \u03d5 \uff1a pi  –  \u521d\u3081 \uff08 \u306e \uff09\uff09 \u2192 \u306e \u00d7 g {displaystyle phi colon pi ^{ –  1}\uff08u\uff09rightArrow utimes g} \u305d\u308c\u3092\u9078\u629e\u3057\u3066\u304f\u3060\u3055\u3044 pi \uff08 \u306e g \uff09\uff09 = pi \uff08 \u306e \uff09\uff09 \u3001 \u03d5 \uff08 \u306e g \uff09\uff09 = \u03d5 \uff08 \u306e \uff09\uff09 g {displaystyle pi\uff08ug\uff09= pi\uff08u\uff09\u3001phi\uff08and\uff09= phi\uff08u\uff09g} \u3059\u3079\u3066\u306e\u305f\u3081\u306b \u306e \u2208 pi  –  \u521d\u3081 \uff08 \u306e \uff09\uff09 \u3001 g \u2208 g {displaystyle uin pi ^{ –  1}\uff08u\uff09\u3001gin g} \u3002\u3059\u3079\u3066\u306e\u5730\u5143\u306e\u4e9b\u7d30\u306a\u3053\u3068 \u03d5 {displaystylephi} \u30ed\u30fc\u30ab\u30eb\u30ab\u30c3\u30c8\u3092\u8a98\u5c0e\u3057\u307e\u3059 f \uff1a \u306e \u2192 p {displaystyle fcolon uto p} \u5bcc f \uff08 \u30d0\u30c4 \uff09\uff09 = \u03d5  –  \u521d\u3081 \uff08 \uff08 \u30d0\u30c4 \u3001 \u305d\u3046\u3067\u3059 \uff09\uff09 \uff09\uff09 {displaystyle f\uff08x\uff09= phi ^{ –  1}\uff08\uff08x\u3001e\uff09\uff09} \u3001\u305d\u308c\u306b\u3088\u3063\u3066 \u305d\u3046\u3067\u3059 \u2208 g {displaystyle a g} \u30cb\u30e5\u30fc\u30c8\u30e9\u30eb\u306a\u8981\u7d20\u3092\u8aac\u660e\u3057\u3066\u304f\u3060\u3055\u3044\u3002 \u9006\u306b\u3001\u3059\u3079\u3066\u306e\u30ed\u30fc\u30ab\u30eb\u30ab\u30c3\u30c8\u3082\u8a98\u5c0e\u3057\u307e\u3059 f \uff1a \u306e \u2192 p {displaystyle fcolon uto p} \u5730\u5143\u306e\u4e9b\u7d30\u306a\u3053\u3068 \u03d5 {displaystylephi} \u306b\u3088\u3063\u3066\u4e0e\u3048\u3089\u308c\u305f \u03d5 \uff08 p \uff09\uff09 = \uff08 pi \uff08 p \uff09\uff09 \u3001 g p \uff09\uff09 {displaystyle phi\uff08p\uff09=\uff08pi\uff08p\uff09\u3001g_ {p}\uff09} \u3068 f \uff08 pi \uff08 p \uff09\uff09 \uff09\uff09 g p = p {displaystyle f\uff08pi\uff08p\uff09\uff09g_ {p} = p} \u3002\u3057\u305f\u304c\u3063\u3066\u3001\u5730\u5143\u306e\u4e9b\u7d30\u306a\u3053\u3068\u306f\u3001\u4e00\u822c\u7684\u306b\u7e4a\u7dad\u675f\u306b\u5b58\u5728\u3059\u308b\u5c40\u6240\u7684\u306a\u30ab\u30c3\u30c8\u306e\u5b58\u5728\u304b\u3089\u7d9a\u304d\u307e\u3059\u3002\u4e00\u822c\u7684\u306a\u7e4a\u7dad\u306e\u675f\u3068\u306f\u5bfe\u7167\u7684\u306b\uff08\u305f\u3068\u3048\u3070\u3001\u30b9\u30e0\u30fc\u30ba\u306a\u591a\u69d8\u6027\u306e\u63a5\u7dda\u675f\u3092\u898b\u308b\u3068\uff09\u3001\u30b0\u30ed\u30fc\u30d0\u30eb\u306a\u4e9b\u7d30\u306a\u53ef\u80fd\u6027\u304c\u30b0\u30ed\u30fc\u30d0\u30eb\u306a\u30ab\u30c3\u30c8\u306e\u5b58\u5728\u3092\u610f\u5473\u3059\u308b\u3060\u3051\u3067\u306a\u304f\u3001\u30b0\u30ed\u30fc\u30d0\u30eb\u306a\u30ab\u30c3\u30c8\u306e\u5b58\u5728\u3082\u610f\u5473\u3057\u307e\u3059\u3002 \u7269\u7406\u7684\u306a\u6587\u8108\u3067\u306f\u3001\u30ad\u30e3\u30ea\u30d6\u30ec\u30fc\u30b7\u30e7\u30f3\u306e\u9078\u629e\u306f\u3001\uff08\u30ed\u30fc\u30ab\u30eb\u307e\u305f\u306f\u30b0\u30ed\u30fc\u30d0\u30eb\u306a\u72b6\u6cc1\u306b\u5fdc\u3058\u3066\uff09\u4e9b\u7d30\u306a\u3053\u3068\u307e\u305f\u306f\u30ab\u30c3\u30c8\u306e\u9078\u629e\u3068\u3057\u3066\u7406\u89e3\u3067\u304d\u307e\u3059\u3002 [\u521d\u3081] Table of Contents\u30d5\u30ec\u30fc\u30e0\u30d0\u30f3\u30c9\u30eb [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u30aa\u30fc\u30d0\u30fc\u30e9\u30c3\u30d7 [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u540c\u7a2e\u306e\u90e8\u5c4b [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u4f8b [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u30d5\u30ec\u30fc\u30e0\u30d0\u30f3\u30c9\u30eb [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u591a\u5206 m {displaystyle m} \u5206\u5316\u3057\u305fN\u6b21\u5143\u30de\u30cb\u30db\u30fc\u30eb\u30c9\u3002\u30d5\u30ec\u30fc\u30e0\u30d0\u30f3\u30c9\u30eb f \uff08 m \uff09\uff09 {displaystyle f\uff08m\uff09} \u63a5\u7dda\u90e8\u5c4b\u306e\u3059\u3079\u3066\u306e\u57fa\u5730\u306e\u91cf\u3067\u3059 t \u30d0\u30c4 m \u3001 \u30d0\u30c4 \u2208 m {displaystyle t_ {x} m\u3001xin m} \u3001\u6a19\u6e96\u6295\u5f71\u4ed8\u304d pi \uff1a f \uff08 m \uff09\uff09 \u2192 m {displaystyle pi colon f\uff08m\uff09rightarrow m} \u3002\u30b0\u30eb\u30fc\u30d7 g \uff1a= GL \u2061 \uff08 n \u3001 r \uff09\uff09 {displaystyle g\uff1a= operatorname {gl}\uff08n\u3001mathbb {r}\uff09} \u7e4a\u7dad\u306b\u5fe0\u5b9f\u3067\u5fe0\u5b9f\u306b\u898b\u3048\u307e\u3059\u3002 \u30aa\u30fc\u30d0\u30fc\u30e9\u30c3\u30d7 [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] Galois Overlays\u306f\u3001\u69cb\u9020\u30b0\u30eb\u30fc\u30d7\u3068\u3057\u3066\u306e\u30c8\u30c3\u30d7\u30c8\u30e9\u30f3\u30b9\u30d5\u30a9\u30fc\u30e1\u30fc\u30b7\u30e7\u30f3\u306e\u614e\u91cd\u306a\u30b0\u30eb\u30fc\u30d7\u3068\u306e\u4e3b\u8981\u306a\u30d0\u30f3\u30c9\u30eb\u3067\u3059\u3002 \u540c\u7a2e\u306e\u90e8\u5c4b [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u591a\u5206 g {displaystyle g} \u5618\u306e\u30b0\u30eb\u30fc\u30d7\u3068 h \u2282 g {displaystyle hsubset g} \u5b8c\u6210\u3057\u305f\u30b5\u30d6\u30b0\u30eb\u30fc\u30d7\u3001\u305d\u3046\u3067\u3059 pi \uff1a g \u2192 g \/ h {displaystyle pi\u30b3\u30ed\u30f3grightarrow g\/h} \u69cb\u9020\u30b0\u30eb\u30fc\u30d7\u3092\u6301\u3064\u539f\u5247\u306e\u675f h {displaystyle h} \u3002 \u30c8\u30dd\u30ed\u30b8\u3068\u5fae\u5206\u30b8\u30aa\u30e1\u30c8\u30ea\u306b\u306f\u3001\u4e3b\u8981\u306a\u30d0\u30f3\u30c9\u30eb\u304b\u3089\u3044\u304f\u3064\u304b\u306e\u30a2\u30d7\u30ea\u30b1\u30fc\u30b7\u30e7\u30f3\u304c\u3042\u308a\u307e\u3059\u3002\u7269\u7406\u5b66\u306b\u306f\u4e3b\u8981\u306a\u30d0\u30f3\u30c9\u30eb\u306e\u30a2\u30d7\u30ea\u30b1\u30fc\u30b7\u30e7\u30f3\u3082\u3042\u308a\u307e\u3059\u3002\u305d\u3053\u3067\u5f7c\u3089\u306f\u3001\u30aa\u30fc\u30af\u7406\u8ad6\u306e\u6570\u5b66\u7684\u67a0\u7d44\u307f\u306e\u6c7a\u5b9a\u7684\u306a\u90e8\u5206\u3092\u5f62\u6210\u3057\u307e\u3059\u3002 \u306e\u5834\u5408\u306b\u306f g = GL \u2061 \uff08 n \u3001 c \uff09\uff09 {displaystyle g = operatorname {gl}\uff08n\u3001mathbb {c}\uff09} \u307f\u3093\u306a\u306b\u884c\u3051\u307e\u3059\u304b g {displaystyle g} -Principal\u30d0\u30f3\u30c9\u30eb pi \uff1a p \u2192 b {displaystyle pi\u30b3\u30ed\u30f3prightarrow b} \u95a2\u9023\u3059\u308b\u8907\u96d1\u306a\u30d9\u30af\u30c8\u30eb\u30d0\u30f3\u30c9\u30eb pi \uff1a \u3068 \u2192 b {displaystyle pi colon erightarrow b} \u5b9a\u7fa9 \u3068 = \uff08 p \u00d7 Cn\uff09\uff09 \/ \u301c {displaystyle e =\uff08ptimes mathbb {c} ^{n}\uff09\/sim} \u540c\u7b49\u306e\u95a2\u4fc2\u3067 \uff08 p \u3001 \u306e \uff09\uff09 \u301c \uff08 p g \u3001 g \u22121\u306e \uff09\uff09 \u2200 g \u2208 GL \u2061 \uff08 n \u3001 c \uff09\uff09 {displaystyle\uff08p\u3001v\uff09sim\uff08pg\u3001g^{-1} v\uff09quad forall gin operatorname {gl}\uff08n\u3001mathbb {c}\uff09} \u3002 \u3042\u306a\u305f\u304c\u3067\u304d\u308b\u3059\u3079\u3066\u306e\u4eba\u306b\u4f3c\u3066\u3044\u307e\u3059 GL \u2061 \uff08 n \u3001 r \uff09\uff09 {displaystyle operatorname {gl}\uff08n\u3001mathbb {r}\uff09}  – \u95a2\u9023\u3059\u308b\u5b9f\u969b\u306e\u30d9\u30af\u30c8\u30eb\u30d0\u30f3\u30c9\u30eb\u306e\u539f\u7406\u306e\u30d0\u30f3\u30c9\u30eb\u3092\u5b9a\u7fa9\u3057\u307e\u3059\u3002 \u305f\u3068\u3048\u3070\u3001be m {displaystyle m} \u5206\u5316\u3057\u305fN\u6b21\u5143\u30de\u30cb\u30db\u30fc\u30eb\u30c9\u3068 f \uff08 m \uff09\uff09 {displaystyle f\uff08m\uff09} \u30d5\u30ec\u30fc\u30e0\u30d0\u30f3\u30c9\u30eb\u3002\u305d\u306e\u5f8c\u3001\u63a5\u7dda\u30d0\u30f3\u30c9\u30eb\u306f\u3067\u3059 t m {displaystyleTm} \u306e\u6a19\u6e96\u7684\u306a\u52b9\u679c\u306e\u305f\u3081\u306e\u30d9\u30af\u30c8\u30eb\u306e\u95a2\u9023\u3059\u308b\u675f GL \u2061 \uff08 n \u3001 r \uff09\uff09 {displaystyle operatorname {gl}\uff08n\u3001mathbb {r}\uff09} \u306e\u4e0a r n {displaystyle mathbb {r} ^{n}} \u3002 \u30e1\u30a4\u30f3\u30d5\u30a1\u30a4\u30d0\u30fc\u30d0\u30f3\u30c9\u30eb\u306e\u95a2\u9023\u3059\u308b\u30d9\u30af\u30c8\u30eb\u306e\u30d0\u30f3\u30c9\u30eb\u3082\u3001\u3088\u308a\u4e00\u822c\u7684\u306b\u5b9a\u7fa9\u3067\u304d\u307e\u3059\u3002\u3053\u306e\u305f\u3081\u306b p \u2192 m {displaystyle prightarrow m} a g {displaystyle g}  – \u30d7\u30ea\u30f3\u30ab\u30eb\u30d0\u30f3\u30c9\u30eb\u3068 r \uff1a g \u2192 a \u306e t \uff08 \u306e \uff09\uff09 {displaystyle rho\uff1agto mathrm {aut}\uff08v\uff09} \u5b9f\u969b\u306e\u8868\u73fe\u307e\u305f\u306f\u8907\u96d1\u306a\u8868\u73fe\u3002\u305d\u308c\u304b\u3089 \u3068 = \uff08 p \u00d7 \u03c1\u306e \uff09\uff09 \uff1a= \uff08 p \u00d7 \u306e \uff09\uff09 \/ g {displaystyle e =\uff08ptimes _ {rho} v\uff09\uff1a=\uff08ptimes v\uff09\/g} \u540c\u7b49\u306e\u95a2\u4fc2\u3067 \uff08 p \u3001 \u306e \uff09\uff09 \u301c \uff08 p g \u3001 r \uff08 g \u22121\uff09\uff09 \u306e \uff09\uff09 \u2200 g \u2208 g {displaystyle\uff08p\u3001v\uff09sim\uff08pg\u3001rho\uff08g^{-1}\uff09v\uff09quad forall gin g} \u3002 \u306b\u95a2\u9023\u4ed8\u3051\u3089\u308c\u305f\u30d9\u30af\u30c8\u30eb\u30d0\u30f3\u30c9\u30eb\u3068\u547c\u3070\u308c\u308b\u30d9\u30af\u30c8\u30eb\u306e\u675f pi \uff1a p \u2192 b {displaystyle pi\u30b3\u30ed\u30f3prightarrow b} \u3068 r {displaystyle rho} \u3002\u306e\u5834\u5408\u306b\u306f g = GL \u2061 \uff08 n \u3001 c \uff09\uff09 {displaystyle g = operatorname {gl}\uff08n\u3001mathbb {c}\uff09} \u3053\u306e\u65b9\u6cd5\u3067\u69cb\u7bc9\u3055\u308c\u305f\u30d9\u30af\u30c8\u30eb\u30d0\u30f3\u30c9\u30eb\u306e\u5834\u5408\u3001\u4e0a\u8a18\u3068\u4e00\u81f4\u3057\u3066\u3044\u308b\u5834\u5408 r {displaystyle rho} \u57fa\u672c\u7684\u306a\u8868\u73fe\u304c\u9078\u629e\u3057\u307e\u3059\u3002 a g {displaystyle g} -Principal\u30d0\u30f3\u30c9\u30eb p \u2192 m {displaystyle prightarrow m} \u30b5\u30d6\u30b0\u30eb\u30fc\u30d7\u306b\u3042\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059 h \u2282 g {displaystyle hsubset g} \u30d0\u30f3\u30c9\u30eb\u3092\u6e1b\u3089\u3057\u307e\u3059 p \/ h \u2192 m {displaystyle p\/hrightarrow m} \u30ab\u30c3\u30c8\u304c\u3042\u308a\u307e\u3059\u3002\u7279\u306b\u3001\u30b5\u30d6\u30b0\u30eb\u30fc\u30d7\u306b\u95a2\u3057\u3066\u306f\u3001\u4e3b\u8981\u306a\u30d0\u30f3\u30c9\u30eb\u306f\u307e\u3055\u306b\u4e9b\u7d30\u306a\u3053\u3068\u3067\u3059 { \u521d\u3081 } \u2282 g {displaystyle left {1right}\u30b5\u30d6\u30bb\u30c3\u30c8g} \u6e1b\u5c11\u3057\u307e\u3059\u3002 \u4f8b [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u30d5\u30ec\u30fc\u30e0\u30d0\u30f3\u30c9\u30eb\u3092\u691c\u8a0e\u3057\u3066\u304f\u3060\u3055\u3044 f \uff08 m \uff09\uff09 \u2192 m {displaystyle f\uff08m\uff09rightarrow m} n\u6b21\u5143\u306e\u5206\u5316\u30de\u30cb\u30db\u30fc\u30eb\u30c9\u3001\u69cb\u9020\u30b0\u30eb\u30fc\u30d7\u306f\u3067\u3059 g = GL \u2061 \uff08 n \u3001 r \uff09\uff09 {displaystyle g = operatorname {gl}\uff08n\u3001mathbb {r}\uff09} \u3002\u6b21\u306b\u3001\u6b21\u306e\u3053\u3068\u304c\u9069\u7528\u3055\u308c\u307e\u3059\u3002 \u305d\u306e\u5f8c\u3001\u69cb\u9020\u30b0\u30eb\u30fc\u30d7\u3092\u6b63\u78ba\u306b\u958b\u304f\u3053\u3068\u304c\u3067\u304d\u307e\u3059 GL \u2061 \uff08 k \u3001 r \uff09\uff09 \u2282 GL \u2061 \uff08 n \u3001 r \uff09\uff09 {displaystyle operatorname {gl}\uff08k\u3001mathbb {r}\uff09Subset operatorname {gl}\uff08n\u3001mathbb {r}\uff09} \u63a5\u7dda\u306e\u30d0\u30f3\u30c9\u30eb\u3092\u6e1b\u3089\u3057\u307e\u3059 n  –  k {displaystyle n-k} Linear\u306b\u306f\u72ec\u7acb\u3057\u305f\u30ab\u30c3\u30c8\u304c\u3042\u308a\u3001 \u69cb\u9020\u30b0\u30eb\u30fc\u30d7\u306f\u3044\u3064\u3067\u3082\u958b\u304f\u3053\u3068\u304c\u3067\u304d\u307e\u3059 o \uff08 n \uff09\uff09 {displaystyle o\uff08n\uff09} \u524a\u6e1b\u3001\u3053\u308c\u306f\u30ea\u30fc\u30de\u30f3\u30e1\u30c8\u30ea\u30c3\u30af\u306e\u9078\u629e\u306b\u5bfe\u5fdc\u3057\u307e\u3059\u3001 \u305d\u306e\u5f8c\u3001\u69cb\u9020\u30b0\u30eb\u30fc\u30d7\u3092\u6b63\u78ba\u306b\u958b\u304f\u3053\u3068\u304c\u3067\u304d\u307e\u3059 \u305d\u308c\u3067 \u2061 \uff08 n \uff09\uff09 {displaystyle operatorname {so}\uff08n\uff09} \u591a\u69d8\u6027\u304c\u5411\u3051\u3089\u308c\u3066\u3044\u308b\u5834\u5408\u306f\u3001\u6e1b\u5c11\u3057\u307e\u3059\u3002 \u4ee5\u4e0b\u306b\u3042\u308a\u307e\u3059 n = 2 m {displaystyle n = 2m} \u30b9\u30c8\u30ec\u30fc\u30c8\u756a\u53f7\uff1a \u305d\u306e\u5f8c\u3001\u69cb\u9020\u30b0\u30eb\u30fc\u30d7\u3092\u6b63\u78ba\u306b\u958b\u304f\u3053\u3068\u304c\u3067\u304d\u307e\u3059 GL \u2061 \uff08 m \u3001 c \uff09\uff09 \u2282 GL \u2061 \uff08 2 m \u3001 r \uff09\uff09 {displaystyle operatorname {gl}\uff08m\u3001mathbb {c}\uff09Subset operatorname {gl}\uff082m\u3001mathbb {r}\uff09} \u591a\u69d8\u6027\u304c\u901f\u3044\u5834\u5408\u306f\u6e1b\u5c11\u3057\u3066\u304f\u3060\u3055\u3044\u3002 \u591a\u69d8\u6027\u304c\u597d\u307e\u3057\u3044\u5834\u5408\u3001\u69cb\u9020\u30b0\u30eb\u30fc\u30d7\u3092\u958b\u304f\u3053\u3068\u304c\u3067\u304d\u307e\u3059 \u306e \uff08 m \uff09\uff09 {displaystyle u\uff08m\uff09} \u524a\u6e1b\u3059\u308b\u3002 \u4ee5\u4e0b\u306b\u3042\u308a\u307e\u3059 n = 2 m + \u521d\u3081 {displaystyle n = 2m+1} \u5947\u6570\uff1a \u591a\u69d8\u6027\u306b\u63a5\u89e6\u69cb\u9020\u304c\u3042\u308b\u5834\u5408\u3001\u69cb\u9020\u30b0\u30eb\u30fc\u30d7\u3092\u958b\u304f\u3053\u3068\u304c\u3067\u304d\u307e\u3059 \u306e \uff08 m \uff09\uff09 \u00d7 { \u521d\u3081 } {displaystyle u\uff08m\uff09\u5de6{1 right}} \u524a\u6e1b\u3059\u308b\u3002 \u95a2\u4fc21\u30d5\u30a9\u30fc\u30e0\u306f\u3001\u4e3b\u8981\u306a\u30d0\u30f3\u30c9\u30eb\u306e\u7814\u7a76\u306b\u91cd\u8981\u306a\u5f79\u5272\u3092\u679c\u305f\u3057\u307e\u3059 \u304a\u304a \u2208 \u304a\u304a \u521d\u3081 \uff08 p \u3001 g \uff09\uff09 {displaystyle omega in omega ^{1}\uff08p\u3001{mathfrak {g}}\uff09}}} \u304a\u3088\u3073\u305d\u308c\u3089\u306e\u66f2\u73872\u30d5\u30a9\u30fc\u30e0 \u304a\u304a = d \u304a\u304a + 12[ \u304a\u304a \u2227 \u304a\u304a ] \u2208 \u304a\u304a 2 \uff08 m \u3001 g \uff09\uff09 {displaystyle omega = domega +{tfrac {1} {2}} [Omega Wedge Omega] inomega ^{2}\uff08m\u3001{mathfrak {g}}\uff09} \u3002 \u8ca0\u8377\u306a\u3057 r 3 {displaystyle mathbb {r} ^{3}} \u96fb\u754c\u3092\u6e80\u305f\u3057\u307e\u3059 \u3068 {displaystyle e} \u3068\u78c1\u5834 b {displaystyle b} Maxwell\u65b9\u7a0b\u5f0f\u3002\u30d5\u30a3\u30fc\u30eb\u30c9\u306b\u306f\u53ef\u80fd\u6027\u304c\u3042\u308a\u307e\u3059 \u03d5 {displaystylephi} \u3068 a {displaystyle a} \u3068 \u3068 =  –  \u5352\u696d\u751f \u2061 \u03d5 + \u2202A\u2202t{displaystyle e = -operatorname {grad} phi +{tfrac {partial a} {partial t}}} \u3068 b = \u8150\u6557 \u2061 a {displaystyle b = operatorname {rot} a} \u3002\u305f\u3060\u3057\u3001\u3053\u306e\u53ef\u80fd\u6027\u306f\u660e\u3089\u304b\u3067\u306f\u3042\u308a\u307e\u305b\u3093 \u03d5 ‘ = \u03d5 + \u2202f\u2202t{displaystyle phi ^{prime} = phi +{tfrac {partial f} {partial t}}} \u3068 a ‘ = a + \u5352\u696d\u751f \u2061 f {displaystyle a^{prime} = a+operatorname {grad} f} \u4efb\u610f\u306e\u6a5f\u80fd\u306e\u5834\u5408 f {displaystyle f} \u540c\u3058\u30d5\u30a3\u30fc\u30eb\u30c9\u3092\u4e0e\u3048\u307e\u3059\u3002 \u3042\u306a\u305f\u306f\u30df\u30f3\u30b3\u30d5\u30b9\u30ad\u30fc\u306e\u90e8\u5c4b\u306e\u6642\u9593\u3092\u898b\u307e\u3059 m = r 4 {displaystyle m = mathbb {r} ^{4}} \u304a\u3088\u3073\u4e3b\u8981\u306a\u30d0\u30f3\u30c9\u30eb m \u00d7 s \u521d\u3081 {displaystyle mtimess^{1}} \u30b3\u30f3\u30c6\u30ad\u30b9\u30c8\u30d5\u30a9\u30fc\u30e0\u3067 \u304a\u304a = d th + \u03d5 d t + a \u521d\u3081 d \u30d0\u30c4 \u521d\u3081 + a 2 d \u30d0\u30c4 2 + a 3 d \u30d0\u30c4 3 {displaystyle omega = mathrm {d} theta+phi\u3001mathrm {d} t+a_ {1}\u3001mathrm {d} x_ {1}+a_ {2}\u3001mathrm {d} x_ {2}+a_ {3}\u3001mathrm {d} x_} \u3002\u96fb\u78c1\u754c\u306f\u3001\u305d\u306e\u5f62\u5f0f\u306e\u66f2\u7387\u3092\u793a\u3057\u307e\u3059\u3002 \u304a\u304a = d \u304a\u304a =  –  a \u3068 id t \u2227 d \u30d0\u30c4 i+ a b id \u30d0\u30c4 j\u2227 d \u30d0\u30c4 k\u3002 {displaystyle omega = mathrm {d} omega = sigma e_ {i}\u3001mathrm {d} twedge mathrm {d} x_ {i}+sigma b_ {i}\u3001mathrm {d} x_ {j}\u30a6\u30a7\u30c3\u30b8Mathrm {d} x_ {k}\u3002 \u30aa\u30fc\u30af\u5909\u63db\u306f\u5f62\u306e\u3082\u306e\u3067\u3059 \u304a\u304a ‘ = \u304a\u304a + d f {displaystyle omega ^{prime} = omega +mathrm {d} f} \u3002 Maxwell\u65b9\u7a0b\u5f0f\u306f\u3068\u3057\u3066\u7b56\u5b9a\u3067\u304d\u307e\u3059 d \u2217 \u304a\u304a = 0 {displaystyle mathrm {d} *omega = 0} \u3001\u305d\u308c\u306b\u3088\u3063\u3066 \u2217 {displaystyle *} \u30db\u30c3\u30b8\u30aa\u30da\u30ec\u30fc\u30bf\u30fc\u306f\u3067\u3059\u3002 David Bleecker\uff1a \u30b2\u30fc\u30b8\u306e\u7406\u8ad6\u3068\u5909\u52d5\u539f\u5247 \u3002\u30c9\u30fc\u30d0\u30fc\u30a8\u30c7\u30a3\u30b7\u30e7\u30f3auflage\u3002 Addison-Wesley Publishing\u30011981\u3001ISBN 0-486-44546-1\u3002  \u30e6\u30eb\u30b2\u30f3\u30fb\u30b8\u30e7\u30b9\u30c8\uff1a \u30ea\u30fc\u30de\u30f3\u306e\u5e7e\u4f55\u5b66\u3068\u5e7e\u4f55\u5b66\u7684\u5206\u6790 \u3002 \uff08\u7b2c4\u7248\uff09\u3002 Springer\u3001New York 2005\u3001ISBN 3-540-25907-4  R. W.\u30b7\u30e3\u30fc\u30d7\uff1a \u5fae\u5206\u30b8\u30aa\u30e1\u30c8\u30ea\uff1a\u30ab\u30eb\u30bf\u30f3\u306e\u30af\u30e9\u30a4\u30f3\u306e\u30a8\u30eb\u30e9\u30f3\u30b2\u30f3\u30d7\u30ed\u30b0\u30e9\u30e0\u306e\u4e00\u822c\u5316 \u3002\u30b9\u30d7\u30ea\u30f3\u30ac\u30fc\u3001\u30cb\u30e5\u30fc\u30e8\u30fc\u30af1997\u3001ISBN 0-387-94732-9\u3002  \u30ce\u30fc\u30de\u30f3\u30fb\u30b9\u30c6\u30a3\u30fc\u30f3\u30ed\u30c3\u30c9\uff1a \u30d5\u30a1\u30a4\u30d0\u30fc\u30d0\u30f3\u30c9\u30eb\u306e\u30c8\u30dd\u30ed\u30b8\u30fc \u3002\u30d7\u30ea\u30f3\u30b9\u30c8\u30f3\u5927\u5b66\u51fa\u7248\u5c40\u3001\u30d7\u30ea\u30f3\u30b9\u30c8\u30f31951\u3001ISBN 0-691-00548-6\u3002  Martin Schottenloher\uff1a \u7269\u7406\u5b66\u306b\u304a\u3051\u308b\u30b8\u30aa\u30e1\u30c8\u30ea\u3068\u5bfe\u79f0 \u3002 Vieweg\u3001Braunschweig 1995\u3001ISBN 3-528-06565-6\u3002  \u2191  Pierre Deligne\u3001Pavel Eingof\u3001Daniel Freed\u3001Lisa Jeffrey\u3001David Kazhdan\u3001John Morgan\u3001David Morrison\u3001Edward Witten\uff08\u7de8\uff09\uff1a \u91cf\u5b50\u7551\u3068\u6587\u5b57\u5217\uff1a\u6570\u5b66\u8005\u306e\u305f\u3081\u306e\u30b3\u30fc\u30b9 \u3002 American Mathematical Society\u30011999\u3001ISBN 0-8218-1987-9\u3001 S.  18 \u3002        (adsbygoogle = window.adsbygoogle || []).push({});after-content-x4"},{"@context":"http:\/\/schema.org\/","@type":"BreadcrumbList","itemListElement":[{"@type":"ListItem","position":1,"item":{"@id":"https:\/\/wiki.edu.vn\/all2jp\/wiki10\/#breadcrumbitem","name":"Enzyklop\u00e4die"}},{"@type":"ListItem","position":2,"item":{"@id":"https:\/\/wiki.edu.vn\/all2jp\/wiki10\/archives\/3428#breadcrumbitem","name":"\u30e1\u30a4\u30f3\u30d5\u30a1\u30a4\u30d0\u30fc\u30d0\u30f3\u30c9\u30eb – \u30a6\u30a3\u30ad\u30da\u30c7\u30a3\u30a2"}}]}]