[{"@context":"http:\/\/schema.org\/","@type":"BlogPosting","@id":"https:\/\/wiki.edu.vn\/jp\/wiki10\/archives\/328292#BlogPosting","mainEntityOfPage":"https:\/\/wiki.edu.vn\/jp\/wiki10\/archives\/328292","headline":"\u30c6\u30f3\u30bd\u30eb\u4ee3\u6570 – Wikipedia","name":"\u30c6\u30f3\u30bd\u30eb\u4ee3\u6570 – Wikipedia","description":"before-content-x4 \u6570\u5b66\u306b\u304a\u3051\u308b\u30d9\u30af\u30c8\u30eb\u7a7a\u9593 V \u4e0a\u306e\u30c6\u30f3\u30bd\u30eb\u4ee3\u6570\uff08\u30c6\u30f3\u30bd\u30eb\u3060\u3044\u3059\u3046\u3001\u82f1: tensor algebra\uff09T(V) \u307e\u305f\u306f T\u00a0\u2022 (V) \u306f V \u4e0a\u306e\u4efb\u610f\u968e\u306e\u30c6\u30f3\u30bd\u30eb\u5168\u4f53\u304c\u30c6\u30f3\u30bd\u30eb\u7a4d\u3092\u4e57\u6cd5\u3068\u3057\u3066\u6210\u3059\u4f53\u4e0a\u306e\u591a\u5143\u74b0\u3067\u3042\u308b\u3002\u3053\u308c\u306f\u591a\u5143\u74b0\u3092\u30d9\u30af\u30c8\u30eb\u7a7a\u9593\u3068\u307f\u306a\u3059\u5fd8\u5374\u51fd\u624b\uff08\u82f1\u8a9e\u7248\uff09\u306e\u5de6\u968f\u4f34\u3068\u306a\u308b\u3068\u3044\u3046\u610f\u5473\u306b\u304a\u3044\u3066 V \u4e0a\u306e\u81ea\u7531\u591a\u5143\u74b0\u3001\u3059\u306a\u308f\u3061\u666e\u904d\u6027\u3092\u6e80\u305f\u3059\u3068\u3044\u3046\u610f\u5473\u3067 V \u3092\u542b\u3080\u591a\u5143\u74b0\u3068\u3057\u3066\u300c\u6700\u3082\u4e00\u822c\u300d\u306e\u3082\u306e\u3067\u3042\u308b\u3002 after-content-x4 \u30c6\u30f3\u30bd\u30eb\u4ee3\u6570\u306f\u307e\u305f\u4e8c\u7a2e\u985e\u306e\u4f59\u4ee3\u6570\u69cb\u9020\u3092\u6301\u3064\u3002\u4e00\u3064\u306f\u7c21\u7d20\u3067\u53cc\u4ee3\u6570\u3092\u5b9a\u3081\u306a\u3044\u304c\u3001\u3082\u3046\u4e00\u3064\u306f\u3088\u308a\u8907\u96d1\u306a\u3082\u306e\u3067\u53cc\u4ee3\u6570\u3092\u5c0e\u304d\u3001\u3055\u3089\u306b\u5bfe\u8e60\u5c04\u3092\u4ee5\u3063\u3066\u30db\u30c3\u30d7\u4ee3\u6570\u3078\u62e1\u5f35\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u308b\u3002 \u6ce8\u610f \u672c\u9805\u306b\u304a\u3044\u3066\u591a\u5143\u74b0\uff08\u4ee3\u6570\uff09\u306f\u5358\u4f4d\u7684\u304b\u3064\u7d50\u5408\u7684\u306a\u3082\u306e\u3068\u4eee\u5b9a\u3059\u308b\u3002","datePublished":"2022-04-19","dateModified":"2022-04-19","author":{"@type":"Person","@id":"https:\/\/wiki.edu.vn\/jp\/wiki10\/archives\/author\/lordneo#Person","name":"lordneo","url":"https:\/\/wiki.edu.vn\/jp\/wiki10\/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\/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\/de3db337b3c5557eac5eaf26a65d6ffb785f957e","url":"https:\/\/wikimedia.org\/api\/rest_v1\/media\/math\/render\/svg\/de3db337b3c5557eac5eaf26a65d6ffb785f957e","height":"","width":""},"url":"https:\/\/wiki.edu.vn\/jp\/wiki10\/archives\/328292","about":["Wiki"],"wordCount":4828,"articleBody":"     (adsbygoogle = window.adsbygoogle || []).push({});before-content-x4\u6570\u5b66\u306b\u304a\u3051\u308b\u30d9\u30af\u30c8\u30eb\u7a7a\u9593 V \u4e0a\u306e\u30c6\u30f3\u30bd\u30eb\u4ee3\u6570\uff08\u30c6\u30f3\u30bd\u30eb\u3060\u3044\u3059\u3046\u3001\u82f1: tensor algebra\uff09T(V) \u307e\u305f\u306f T\u00a0\u2022 (V) \u306f V \u4e0a\u306e\u4efb\u610f\u968e\u306e\u30c6\u30f3\u30bd\u30eb\u5168\u4f53\u304c\u30c6\u30f3\u30bd\u30eb\u7a4d\u3092\u4e57\u6cd5\u3068\u3057\u3066\u6210\u3059\u4f53\u4e0a\u306e\u591a\u5143\u74b0\u3067\u3042\u308b\u3002\u3053\u308c\u306f\u591a\u5143\u74b0\u3092\u30d9\u30af\u30c8\u30eb\u7a7a\u9593\u3068\u307f\u306a\u3059\u5fd8\u5374\u51fd\u624b\uff08\u82f1\u8a9e\u7248\uff09\u306e\u5de6\u968f\u4f34\u3068\u306a\u308b\u3068\u3044\u3046\u610f\u5473\u306b\u304a\u3044\u3066 V \u4e0a\u306e\u81ea\u7531\u591a\u5143\u74b0\u3001\u3059\u306a\u308f\u3061\u666e\u904d\u6027\u3092\u6e80\u305f\u3059\u3068\u3044\u3046\u610f\u5473\u3067 V \u3092\u542b\u3080\u591a\u5143\u74b0\u3068\u3057\u3066\u300c\u6700\u3082\u4e00\u822c\u300d\u306e\u3082\u306e\u3067\u3042\u308b\u3002       (adsbygoogle = window.adsbygoogle || []).push({});after-content-x4\u30c6\u30f3\u30bd\u30eb\u4ee3\u6570\u306f\u307e\u305f\u4e8c\u7a2e\u985e\u306e\u4f59\u4ee3\u6570\u69cb\u9020\u3092\u6301\u3064\u3002\u4e00\u3064\u306f\u7c21\u7d20\u3067\u53cc\u4ee3\u6570\u3092\u5b9a\u3081\u306a\u3044\u304c\u3001\u3082\u3046\u4e00\u3064\u306f\u3088\u308a\u8907\u96d1\u306a\u3082\u306e\u3067\u53cc\u4ee3\u6570\u3092\u5c0e\u304d\u3001\u3055\u3089\u306b\u5bfe\u8e60\u5c04\u3092\u4ee5\u3063\u3066\u30db\u30c3\u30d7\u4ee3\u6570\u3078\u62e1\u5f35\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u308b\u3002\u6ce8\u610f\u672c\u9805\u306b\u304a\u3044\u3066\u591a\u5143\u74b0\uff08\u4ee3\u6570\uff09\u306f\u5358\u4f4d\u7684\u304b\u3064\u7d50\u5408\u7684\u306a\u3082\u306e\u3068\u4eee\u5b9a\u3059\u308b\u3002V \u306f\u4f53 K \u4e0a\u306e\u30d9\u30af\u30c8\u30eb\u7a7a\u9593\u3068\u3059\u308b\u3002\u4efb\u610f\u306e\u975e\u8ca0\u6574\u6570 k \u306b\u5bfe\u3057\u3066 V \u306e k-\u6b21\u30c6\u30f3\u30bd\u30eb\u51aa\u3068\u306f V \u306e k-\u91cd\u30c6\u30f3\u30bd\u30eb\u7a4d       (adsbygoogle = window.adsbygoogle || []).push({});after-content-x4Tk(V)=V\u2297k=V\u2297V\u2297\u22ef\u2297V{displaystyle T^{k}(V)=V^{otimes k}=Votimes Votimes cdots otimes V}\u3092\u8a00\u3046\u3002\u5373\u3061\u3001Tk(V) \u306f V \u4e0a\u306e k-\u968e\uff08\u53cd\u5909\uff09\u30c6\u30f3\u30bd\u30eb\u5168\u4f53\u304b\u3089\u306a\u308b\u3002\u898f\u7d04\u306b\u3088\u308a\u3001T0(V) \u306f\u4fc2\u6570\u4f53\uff08\u82f1\u8a9e\u7248\uff09 K\uff08\u3092\u305d\u308c\u81ea\u8eab\u306e\u4e0a\u306e\u30d9\u30af\u30c8\u30eb\u7a7a\u9593\u3068\u898b\u305f\u3082\u306e\uff09\u3067\u3042\u308b\u3082\u306e\u3068\u3059\u308b\u3002\u3053\u306e\u3068\u304d\u30c6\u30f3\u30bd\u30eb\u4ee3\u6570 T(V) \u306f k = 0, 1, 2, \u2026 \u306b\u5bfe\u3059\u308b k-\u6b21\u30c6\u30f3\u30bd\u30eb\u51aa Tk(V) \u306e\u306a\u3059\u5217\u306e\u30d9\u30af\u30c8\u30eb\u7a7a\u9593\u306e\u76f4\u548cT(V)=\u2a01k=0\u221eTk(V)=K\u2295V\u2295(V\u2297V)\u2295(V\u2297V\u2297V)\u2295\u22ef{displaystyle T(V)=bigoplus _{k=0}^{infty }T^{k}(V)=Koplus Voplus (Votimes V)oplus (Votimes Votimes V)oplus cdots }\u3092\u53f0\u3068\u3057\u3066\u69cb\u6210\u3055\u308c\u308b\u3002T(V) \u306b\u304a\u3051\u308b\u4e57\u6cd5\u306f\u3001\u30c6\u30f3\u30bd\u30eb\u7a4d\u306b\u3088\u3063\u3066\u4e0e\u3048\u3089\u308c\u308b\u81ea\u7136\u540c\u578b       (adsbygoogle = window.adsbygoogle || []).push({});after-content-x4Tk(V)\u2297T\u2113(V)\u2192Tk+\u2113(V){displaystyle T^{k}(V)otimes T^{ell }(V)to T^{k+ell }(V)}\u3092 T(V) \u5168\u4f53\u307e\u3067\u7dda\u578b\u306b\u62e1\u5f35\u3057\u305f\u3082\u306e\u3067\u4e0e\u3048\u3089\u308c\u308b\u3002\u3053\u306e\u4e57\u6cd5\u6cd5\u5247\u306b\u3088\u308a\u81ea\u7136\u306b\u3001\u30c6\u30f3\u30bd\u30eb\u4ee3\u6570 T(V) \u306f\u5404 Tk(V) \u3092\u6b21\u6570 k \u306e\u6589\u6b21\u90e8\u5206\u7a7a\u9593\u306b\u6301\u3064\u6b21\u6570\u4ed8\u304d\u591a\u5143\u74b0\u3068\u306a\u308b\u3002\u3053\u306e\u6b21\u6570\u4ed8\u3051\u306f\u8ca0\u306e\u6574\u6570 k \u306b\u5bfe\u3057\u3066 Tk(V) = {0} \u3068\u7f6e\u3044\u3066\u4ed8\u3051\u52a0\u3048\u308b\u3053\u3068\u306b\u3088\u308a Z-\u6b21\u6570\u4ed8\u3051\u306b\u62e1\u5f35\u3067\u304d\u308b\u3002\u3053\u306e\u69cb\u6210\u306f\u5168\u304f\u305d\u306e\u307e\u307e\u306e\u3084\u308a\u65b9\u3067\u53ef\u63db\u74b0 R \u4e0a\u306e\u4efb\u610f\u306e\u52a0\u7fa4 M \u306e\u30c6\u30f3\u30bd\u30eb\u4ee3\u6570\u306b\u4e00\u822c\u5316\u3055\u308c\u308b\u3002R \u304c\u975e\u53ef\u63db\u306e\u3068\u304d\u306f\u3001\u4efb\u610f\u306e (R, R)-\u4e21\u5074\u52a0\u7fa4\u306b\u5bfe\u3057\u3066\u306a\u3089\u3070\u3053\u306e\u69cb\u6210\u3092\u5b9f\u884c\u3067\u304d\u308b\uff08\u5358\u306b R-\u52a0\u7fa4\u3068\u3057\u305f\u306e\u3067\u306f\u3001\u30c6\u30f3\u30bd\u30eb\u51aa\u304c\u4f5c\u308c\u306a\u3044\u306e\u3067\u3046\u307e\u304f\u3044\u304b\u306a\u3044\uff09\u3002Table of Contents\u968f\u4f34\u3068\u666e\u904d\u6027[\u7de8\u96c6]\u975e\u53ef\u63db\u591a\u9805\u5f0f[\u7de8\u96c6]\u5546\u4ee3\u6570\u7cfb[\u7de8\u96c6]\u4f59\u4ee3\u6570\u69cb\u9020[\u7de8\u96c6]\u5358\u7d14\u306a\u4f59\u4ee3\u6570\u69cb\u9020[\u7de8\u96c6]\u53cc\u4ee3\u6570\u304a\u3088\u3073\u30db\u30c3\u30d7\u4ee3\u6570\u306e\u69cb\u9020[\u7de8\u96c6]\u53c2\u8003\u6587\u732e[\u7de8\u96c6]\u95a2\u9023\u9805\u76ee[\u7de8\u96c6]\u5916\u90e8\u30ea\u30f3\u30af[\u7de8\u96c6]\u968f\u4f34\u3068\u666e\u904d\u6027[\u7de8\u96c6]\u30c6\u30f3\u30bd\u30eb\u4ee3\u6570 T(V) \u306f\u30d9\u30af\u30c8\u30eb\u7a7a\u9593 V \u4e0a\u306e\u81ea\u7531\u591a\u5143\u74b0\u3068\u3082\u547c\u3070\u308c\u3001\u307e\u305f V \u306b\u95a2\u3057\u3066\u51fd\u624b\u7684\u3067\u3042\u308b\u3002\u4ed6\u306e\u81ea\u7531\u69cb\u6210\uff08\u82f1\u8a9e\u7248\uff09\u304c\u305d\u3046\u3067\u3042\u308b\u3088\u3046\u306b\u3001\u51fd\u624b T \u306f\u9069\u5f53\u306a\u5fd8\u5374\u51fd\u624b\uff08\u82f1\u8a9e\u7248\uff09\u306e\u5de6\u968f\u4f34\u3068\u306a\u308b\u3002\u4eca\u306e\u5834\u5408\u3001\u8003\u3048\u308b\u3079\u304d\u5fd8\u5374\u51fd\u624b\u306f\u5404 K-\u4ee3\u6570\u3092\u305d\u306e\u53f0\u3068\u306a\u308b\u30d9\u30af\u30c8\u30eb\u7a7a\u9593\u3078\u5199\u3059\u3082\u306e\u3067\u3042\u308b\u3002\u967d\u306b\u66f8\u3051\u3070\u3001\u30c6\u30f3\u30bd\u30eb\u4ee3\u6570\u306e\u666e\u904d\u6027\uff08V \u3092\u542b\u3080\u6700\u3082\u4e00\u822c\u306a\u591a\u5143\u74b0\u3067\u3042\u308b\u3053\u3068\u3092\u304d\u3061\u3093\u3068\u8ff0\u3079\u305f\u3082\u306e\uff09\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306a\u3082\u306e\u3067\u3042\u308b:\u30c6\u30f3\u30bd\u30eb\u4ee3\u6570\u306e\u666e\u904d\u6027K \u4e0a\u306e\u4efb\u610f\u306e\u591a\u5143\u74b0 A \u3068\u4efb\u610f\u306e\u7dda\u578b\u5199\u50cf f: V \u2192 A \u304c\u4e0e\u3048\u3089\u308c\u305f\u3068\u304d\u3001\u591a\u5143\u74b0\u306e\u6e96\u540c\u578b\uff08\u82f1\u8a9e\u7248\uff09 ~f: T(V) \u2192 A \u3067 f = ~f \u2218 i \u3092\u6e80\u305f\u3059\u3082\u306e\u304c\u4e00\u610f\u7684\u306b\u5b58\u5728\u3059\u308b\u3002\u3053\u3053\u306b\u3001i: V \u2192 T(V) \u306f\u81ea\u7136\u306a\u57cb\u3081\u8fbc\u307f\uff08\u968f\u4f34\u306e\u5358\u4f4d\u5c04\uff09\u3067\u3042\u308b\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u4ee5\u4e0b\u306e\u56f3\u5f0f\u304c\u53ef\u63db\u3068\u306a\u308b\u3002\u5b9f\u306f\u3001\u3053\u306e\u6027\u8cea\u3092\u6e80\u305f\u3059\u4e00\u610f\u7684\u306a\u591a\u5143\u74b0\u3068\u3057\u3066\u30c6\u30f3\u30bd\u30eb\u4ee3\u6570 T(V) \u3092\u5b9a\u7fa9\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u308b\uff08\u53b3\u5bc6\u306b\u8a00\u3048\u3070\u4e00\u610f\u7684\u306a\u540c\u578b\u3092\u9664\u3044\u3066\u4e00\u610f\uff09\u304c\u3001\u305d\u308c\u3067\u3082\u3053\u306e\u6027\u8cea\u3092\u6e80\u305f\u3059\u5bfe\u8c61\u304c\u5b58\u5728\u3059\u308b\u3053\u3068\u306f\u793a\u3055\u306a\u3051\u308c\u3070\u306a\u3089\u306a\u3044\u3002\u4e0a\u8a18\u306e\u666e\u904d\u6027\u306f\u3001\u30c6\u30f3\u30bd\u30eb\u4ee3\u6570\u306e\u69cb\u6210\u304c\u81ea\u7136\u306b\u300c\u51fd\u624b\u7684\u300d\u3068\u306a\u308b\u3053\u3068\u3092\u793a\u3057\u3066\u3044\u308b\u3002\u3059\u306a\u308f\u3061\u3001T \u306f K \u4e0a\u306e\u30d9\u30af\u30c8\u30eb\u7a7a\u9593\u306e\u570f K–Vect \u304b\u3089 K-\u591a\u5143\u74b0\u306e\u570f K–Alg \u3078\u306e\u51fd\u624b\u3067\u3042\u308b\u3002T \u306e\u51fd\u624b\u6027\u306f\u4efb\u610f\u306e\u7dda\u578b\u5199\u50cf V \u2192 W \u306f\u591a\u5143\u74b0\u306e\u6e96\u540c\u578b T(V) \u2192 T(W) \u3078\u4e00\u610f\u7684\u306b\u5ef6\u9577\u3055\u308c\u308b\u3053\u3068\u3092\u610f\u5473\u3059\u308b\u3002\u975e\u53ef\u63db\u591a\u9805\u5f0f[\u7de8\u96c6]\u30d9\u30af\u30c8\u30eb\u7a7a\u9593 V \u304c\u6709\u9650\u306a\u6b21\u5143 n \u3092\u6301\u3064\u3068\u304d\u3001\u30c6\u30f3\u30bd\u30eb\u4ee3\u6570\u306e\u5225\u306e\u898b\u65b9\u3068\u3057\u3066\u300cK \u4e0a\u306e\u975e\u53ef\u63db\u306a n-\u5909\u6570\u591a\u9805\u5f0f\u306e\u74b0\u300d\u3068\u307f\u308b\u3053\u3068\u304c\u3067\u304d\u308b\u3002V \u306e\u57fa\u5e95\u30d9\u30af\u30c8\u30eb\u3092\u3068\u3063\u3066\u3001\u305d\u308c\u3092 T(V) \u306b\u304a\u3051\u308b\u975e\u53ef\u63db\u5909\u6570\uff08\u3042\u308b\u3044\u306f\u975e\u53ef\u63db\u4e0d\u5b9a\u5143\uff09\u3001\u3059\u306a\u308f\u3061\u7d50\u5408\u6027\u3001\u5206\u914d\u6027\u304a\u3088\u3073 K-\u7dda\u578b\u6027\u306e\u4ed6\u306f\u4f55\u306e\u5236\u7d04\u3082\u6301\u305f\u306a\u3044\u5143\u3068\u898b\u308b\u3002\u6ce8\u610f\u3059\u3079\u304d\u70b9\u3068\u3057\u3066\u3001V \u4e0a\u306e\u975e\u53ef\u63db\u591a\u9805\u5f0f\u74b0\u3068\u3057\u3066\u9069\u5207\u306a\u306e\u306f T(V) \u3088\u308a\u306f\u3080\u3057\u308d T(V*) \u306e\u65b9\u3067\u3042\u308b\u3053\u3068\u304c\u6319\u3052\u3089\u308c\u308b\u3002\u3053\u308c\u306f V \u4e0a\u306e\u4e00\u6b21\u6589\u6b21\u51fd\u6570\u306f V* \u306e\u5143\u3067\u3042\u308b\u3053\u3068\u3001\u307e\u305f\u30d9\u30af\u30c8\u30eb\u7a7a\u9593\u4e0a\u306e\u5ea7\u6a19\u51fd\u6570 x1, \u2026, xn \u306f\uff08\u30d9\u30af\u30c8\u30eb\u3092\u305d\u306e\u5ea7\u6a19\u6210\u5206\u3068\u306a\u308b\u30b9\u30ab\u30e9\u30fc\u3078\u5199\u3059\u51fd\u6570\u3068\u307f\u308c\u3070\uff09\u5171\u5909\u30d9\u30af\u30c8\u30eb\u3067\u3042\u308b\u3053\u3068\u306b\u3088\u308b\u3002\u5546\u4ee3\u6570\u7cfb[\u7de8\u96c6]\u30c6\u30f3\u30bd\u30eb\u4ee3\u6570\u304c\u6700\u3082\u4e00\u822c\u306e\u591a\u5143\u74b0\u3067\u3042\u308b\u3053\u3068\u3092\u5229\u7528\u3057\u3066\u3001\u307b\u304b\u306e\u591a\u304f\u306e\u591a\u5143\u74b0\u306b\u3064\u3044\u3066\u3001\u307e\u305a\u30c6\u30f3\u30bd\u30eb\u4ee3\u6570\u3092\u69cb\u6210\u3057\u3066\u304b\u3089\u305d\u3053\u306b\u751f\u6210\u5143\u306b\u95a2\u3059\u308b\u7279\u5b9a\u306e\u95a2\u4fc2\u5f0f\u3092\u5c0e\u5165\u3057\u3066\u69cb\u6210\u3059\u308b\u3053\u3068\u3001\u3064\u307e\u308a T(V) \u306e\u3042\u308b\u7a2e\u306e\u5546\u591a\u5143\u74b0\uff08\u82f1\u8a9e\u7248\uff09\u69cb\u6210\u306b\u8208\u5473\u304c\u6301\u305f\u308c\u308b\u3002\u4f8b\u3048\u3070\u3001\u5916\u7a4d\u4ee3\u6570\u3001\u5bfe\u79f0\u4ee3\u6570\u3001\u30af\u30ea\u30d5\u30a9\u30fc\u30c9\u4ee3\u6570\u3084\u666e\u904d\u5305\u7d61\u4ee3\u6570\u306a\u3069\u3002\u4f59\u4ee3\u6570\u69cb\u9020[\u7de8\u96c6]\u30c6\u30f3\u30bd\u30eb\u4ee3\u6570\u306f\u4e8c\u7a2e\u985e\u306e\u4f59\u4ee3\u6570\u69cb\u9020\u3092\u6301\u3064\u3002\u4e00\u3064\u306f\u7c21\u7d20\u3067\u53cc\u4ee3\u6570\u3092\u5b9a\u3081\u306a\u3044\u304c\u3001\u3082\u3046\u4e00\u3064\u306f\u3088\u308a\u8907\u96d1\u306a\u3082\u306e\u3067\u53cc\u4ee3\u6570\u3092\u5c0e\u304d\u3001\u3055\u3089\u306b\u5bfe\u8e60\u5c04\u3092\u4ee5\u3063\u3066\u30db\u30c3\u30d7\u4ee3\u6570\u3078\u62e1\u5f35\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u308b\u3002\u5358\u7d14\u306a\u4f59\u4ee3\u6570\u69cb\u9020[\u7de8\u96c6]\u30c6\u30f3\u30bd\u30eb\u4ee3\u6570\u4e0a\u306e\u5358\u7d14\u306a\u4f59\u4ee3\u6570\u69cb\u9020\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306a\u3082\u306e\u3067\u3042\u308b\u3002\u4f59\u4e57\u6cd5 \u0394 \u306f\u0394(v1\u2297\u22ef\u2297vm):=\u2211i=0m(v1\u2297\u22ef\u2297vi)\u2297(vi+1\u2297\u22ef\u2297vm){displaystyle Delta (v_{1}otimes dots otimes v_{m}):=sum _{i=0}^{m}(v_{1}otimes dots otimes v_{i})otimes (v_{i+1}otimes dots otimes v_{m})}\u3092 T(V) \u307e\u3067\u7dda\u578b\u306b\u5ef6\u9577\u3059\u308b\u3053\u3068\u3067\u4e0e\u3048\u3089\u308c\u308b\u3002\u4f59\u5358\u4f4d\u5c04\u306f"},{"@context":"http:\/\/schema.org\/","@type":"BreadcrumbList","itemListElement":[{"@type":"ListItem","position":1,"item":{"@id":"https:\/\/wiki.edu.vn\/jp\/wiki10\/#breadcrumbitem","name":"Enzyklop\u00e4die"}},{"@type":"ListItem","position":2,"item":{"@id":"https:\/\/wiki.edu.vn\/jp\/wiki10\/archives\/328292#breadcrumbitem","name":"\u30c6\u30f3\u30bd\u30eb\u4ee3\u6570 – Wikipedia"}}]}]