[{"@context":"http:\/\/schema.org\/","@type":"BlogPosting","@id":"https:\/\/wiki.edu.vn\/jp\/wiki19\/archives\/293685#BlogPosting","mainEntityOfPage":"https:\/\/wiki.edu.vn\/jp\/wiki19\/archives\/293685","headline":"\u51aa\u7b49 – Wikipedia","name":"\u51aa\u7b49 – Wikipedia","description":"\u3053\u306e\u8a18\u4e8b\u306f\u691c\u8a3c\u53ef\u80fd\u306a\u53c2\u8003\u6587\u732e\u3084\u51fa\u5178\u304c\u5168\u304f\u793a\u3055\u308c\u3066\u3044\u306a\u3044\u304b\u3001\u4e0d\u5341\u5206\u3067\u3059\u3002\u51fa\u5178\u3092\u8ffd\u52a0\u3057\u3066\u8a18\u4e8b\u306e\u4fe1\u983c\u6027\u5411\u4e0a\u306b\u3054\u5354\u529b\u304f\u3060\u3055\u3044\u3002\u51fa\u5178\u691c\u7d22?:\u00a0“\u51aa\u7b49”\u00a0\u2013\u00a0\u30cb\u30e5\u30fc\u30b9\u00a0\u00b7 \u66f8\u7c4d\u00a0\u00b7 \u30b9\u30ab\u30e9\u30fc\u00a0\u00b7 CiNii\u00a0\u00b7 J-STAGE\u00a0\u00b7 NDL\u00a0\u00b7 dlib.jp\u00a0\u00b7 \u30b8\u30e3\u30d1\u30f3\u30b5\u30fc\u30c1\u00a0\u00b7 TWL\uff082015\u5e7410\u6708\uff09 \u6570\u5b66\u306b\u304a\u3044\u3066\u3001\u51aa\u7b49\u6027\uff08\u3079\u304d\u3068\u3046\u305b\u3044\u3001\u82f1: idempotence\u3001\u300c\u5dfe\u7b49\u6027\u300d\u3068\u3082\u66f8\u304f\u304c\u8aad\u307f\u65b9\u306f\u540c\u3058\uff09\u306f\u3001\u5927\u96d1\u628a\u306b\u8a00\u3063\u3066\u3001\u3042\u308b\u64cd\u4f5c\u30921\u56de\u884c\u3063\u3066\u3082\u8907\u6570\u56de\u884c\u3063\u3066\u3082\u7d50\u679c\u304c\u540c\u3058\u3067\u3042\u308b\u3053\u3068\u3092\u3044\u3046\u6982\u5ff5\u3067\u3042\u308b\u3002\u307e\u308c\u306b\u7b49\u51aa\uff08\u3068\u3046\u3079\u304d\uff09\u3068\u3082\u3002\u62bd\u8c61\u4ee3\u6570\u5b66\u3001\u7279\u306b\u5c04\u5f71\uff08projector\uff09\u3084\u9589\u5305\uff08closure\uff09\u6f14\u7b97\u5b50\u306b\u898b\u3089\u308c\u308b\u7279\u5fb4\u3067\u3042\u308b\u3002”idempotence” \u3068\u3044\u3046\u5358\u8a9e\u306f\u30e9\u30c6\u30f3\u8a9e\u306e “idem”\uff08\u540c\u3058=same\uff09\u3068”potere”\uff08\u51aa=power\uff09\u304b\u3089\u6765\u3066\u3044\u308b\u3002 \u4e3b\u306b\u4ee5\u4e0b\u306e2\u3064\u306e\u5b9a\u7fa9\u304c\u4f7f\u308f\u308c\u3066\u3044\u308b\u3002 \u4e8c\u9805\u6f14\u7b97\u306b\u304a\u3044\u3066\u3001\u81ea\u5206\u81ea\u8eab\u306b\u305d\u306e\u4e8c\u9805\u6f14\u7b97\u3092\u65bd\u3057\u305f\u3068\u304d\u306b\uff08\u4f8b\u3048\u3070 N * N\uff09\u3001\u7d50\u679c\u304c\u81ea\u5206\u81ea\u8eab\u3068\u306a\u308b\u3088\u3046\u306a\u3082\u306e\u3092\u51aa\u7b49\u3067\u3042\u308b\u3001\u307e\u305f\u306f\u51aa\u7b49\u5143\u3068\u3044\u3046\u3002\u4f8b\u3048\u3070\u3001\u5b9f\u6570\u306e\u4e57\u7b97\u3067\u51aa\u7b49\u306a\u6570\u306f 0 \u3068","datePublished":"2022-04-17","dateModified":"2022-04-17","author":{"@type":"Person","@id":"https:\/\/wiki.edu.vn\/jp\/wiki19\/archives\/author\/lordneo#Person","name":"lordneo","url":"https:\/\/wiki.edu.vn\/jp\/wiki19\/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:\/\/upload.wikimedia.org\/wikipedia\/commons\/thumb\/6\/64\/Question_book-4.svg\/50px-Question_book-4.svg.png","url":"https:\/\/upload.wikimedia.org\/wikipedia\/commons\/thumb\/6\/64\/Question_book-4.svg\/50px-Question_book-4.svg.png","height":"39","width":"50"},"url":"https:\/\/wiki.edu.vn\/jp\/wiki19\/archives\/293685","about":["Wiki"],"wordCount":1747,"articleBody":"\u3053\u306e\u8a18\u4e8b\u306f\u691c\u8a3c\u53ef\u80fd\u306a\u53c2\u8003\u6587\u732e\u3084\u51fa\u5178\u304c\u5168\u304f\u793a\u3055\u308c\u3066\u3044\u306a\u3044\u304b\u3001\u4e0d\u5341\u5206\u3067\u3059\u3002\u51fa\u5178\u3092\u8ffd\u52a0\u3057\u3066\u8a18\u4e8b\u306e\u4fe1\u983c\u6027\u5411\u4e0a\u306b\u3054\u5354\u529b\u304f\u3060\u3055\u3044\u3002\u51fa\u5178\u691c\u7d22?:\u00a0“\u51aa\u7b49”\u00a0\u2013\u00a0\u30cb\u30e5\u30fc\u30b9\u00a0\u00b7 \u66f8\u7c4d\u00a0\u00b7 \u30b9\u30ab\u30e9\u30fc\u00a0\u00b7 CiNii\u00a0\u00b7 J-STAGE\u00a0\u00b7 NDL\u00a0\u00b7 dlib.jp\u00a0\u00b7 \u30b8\u30e3\u30d1\u30f3\u30b5\u30fc\u30c1\u00a0\u00b7 TWL\uff082015\u5e7410\u6708\uff09\u6570\u5b66\u306b\u304a\u3044\u3066\u3001\u51aa\u7b49\u6027\uff08\u3079\u304d\u3068\u3046\u305b\u3044\u3001\u82f1: idempotence\u3001\u300c\u5dfe\u7b49\u6027\u300d\u3068\u3082\u66f8\u304f\u304c\u8aad\u307f\u65b9\u306f\u540c\u3058\uff09\u306f\u3001\u5927\u96d1\u628a\u306b\u8a00\u3063\u3066\u3001\u3042\u308b\u64cd\u4f5c\u30921\u56de\u884c\u3063\u3066\u3082\u8907\u6570\u56de\u884c\u3063\u3066\u3082\u7d50\u679c\u304c\u540c\u3058\u3067\u3042\u308b\u3053\u3068\u3092\u3044\u3046\u6982\u5ff5\u3067\u3042\u308b\u3002\u307e\u308c\u306b\u7b49\u51aa\uff08\u3068\u3046\u3079\u304d\uff09\u3068\u3082\u3002\u62bd\u8c61\u4ee3\u6570\u5b66\u3001\u7279\u306b\u5c04\u5f71\uff08projector\uff09\u3084\u9589\u5305\uff08closure\uff09\u6f14\u7b97\u5b50\u306b\u898b\u3089\u308c\u308b\u7279\u5fb4\u3067\u3042\u308b\u3002”idempotence” \u3068\u3044\u3046\u5358\u8a9e\u306f\u30e9\u30c6\u30f3\u8a9e\u306e “idem”\uff08\u540c\u3058=same\uff09\u3068”potere”\uff08\u51aa=power\uff09\u304b\u3089\u6765\u3066\u3044\u308b\u3002  \u4e3b\u306b\u4ee5\u4e0b\u306e2\u3064\u306e\u5b9a\u7fa9\u304c\u4f7f\u308f\u308c\u3066\u3044\u308b\u3002\u4e8c\u9805\u6f14\u7b97\u306b\u304a\u3044\u3066\u3001\u81ea\u5206\u81ea\u8eab\u306b\u305d\u306e\u4e8c\u9805\u6f14\u7b97\u3092\u65bd\u3057\u305f\u3068\u304d\u306b\uff08\u4f8b\u3048\u3070 N * N\uff09\u3001\u7d50\u679c\u304c\u81ea\u5206\u81ea\u8eab\u3068\u306a\u308b\u3088\u3046\u306a\u3082\u306e\u3092\u51aa\u7b49\u3067\u3042\u308b\u3001\u307e\u305f\u306f\u51aa\u7b49\u5143\u3068\u3044\u3046\u3002\u4f8b\u3048\u3070\u3001\u5b9f\u6570\u306e\u4e57\u7b97\u3067\u51aa\u7b49\u306a\u6570\u306f 0 \u3068 1 \u3060\u3051\u3067\u3042\u308b\u3002\u5358\u9805\u6f14\u7b97\uff08\u95a2\u6570\uff09\u306b\u304a\u3044\u3066\u3001\u305d\u306e\u6f14\u7b97\u3092\u884c\u3063\u305f\u7d50\u679c\u306b\u540c\u3058\u6f14\u7b97\u3092\u884c\u3063\u3066\u3082\u7d50\u679c\u304c\u5909\u308f\u3089\u306a\u3044\u5834\u5408\u306b\u51aa\u7b49\u3067\u3042\u308b\u3068\u3044\u3046\u3002\u4f8b\u3048\u3070\u3001\u5b9f\u6570\u304b\u3089\u6574\u6570\u3078\u306e\u95a2\u6570\u3067\u3042\u308b\u5e8a\u95a2\u6570\u306f\u51aa\u7b49\u3067\u3042\u308b\u3002\u3053\u306e\u5358\u9805\u6f14\u7b97\u306b\u304a\u3051\u308b\u51aa\u7b49\u306e\u5b9a\u7fa9\u306f\u3001\u4e0a\u8a18\u306e\u4e8c\u9805\u6f14\u7b97\u306e\u3068\u304d\u306e\u5b9a\u7fa9\u306e\u7279\u6b8a\u4f8b\u3067\u3042\u308b\uff08\u5f8c\u8ff0\uff09\u3002Table of Contents\u5f62\u5f0f\u7684\u5b9a\u7fa9[\u7de8\u96c6]\u4e8c\u9805\u6f14\u7b97[\u7de8\u96c6]\u5358\u9805\u6f14\u7b97[\u7de8\u96c6]\u5199\u50cf[\u7de8\u96c6]\u74b0\u306e\u51aa\u7b49\u5143[\u7de8\u96c6]\u305d\u306e\u4ed6[\u7de8\u96c6]\u60c5\u5831\u5de5\u5b66\u306b\u304a\u3051\u308b\u51aa\u7b49[\u7de8\u96c6]\u95a2\u6570\u306e\u4f8b[\u7de8\u96c6]\u51aa\u7b49\u306a\u30d8\u30c3\u30c0\u30d5\u30a1\u30a4\u30eb[\u7de8\u96c6]WWW[\u7de8\u96c6]NFS[\u7de8\u96c6]\u30e6\u30fc\u30b6\u30a4\u30f3\u30bf\u30d5\u30a7\u30fc\u30b9[\u7de8\u96c6]\u95a2\u9023\u9805\u76ee[\u7de8\u96c6]\u5f62\u5f0f\u7684\u5b9a\u7fa9[\u7de8\u96c6]\u4e8c\u9805\u6f14\u7b97[\u7de8\u96c6]\u4e8c\u9805\u6f14\u7b97 “*” \u3092\u5099\u3048\u305f\u96c6\u5408 S \u306b\u3064\u3044\u3066\u3001S \u306e\u5143 s \u306f  s\u2217s=s{displaystyle s*s=s}\u3092\u6e80\u305f\u3059\u3068\u304d\uff08”*” \u306b\u95a2\u3057\u3066\uff09\u51aa\u7b49\uff08\u3079\u304d\u3068\u3046\u3001idempotent\uff09\u3067\u3042\u308b\u3068\u3044\u3046\u3002\u7279\u306b\u3001\u4efb\u610f\u306e\u4e2d\u7acb\u5143\u306f\u51aa\u7b49\u3067\u3042\u308b\u3002S \u306e\u5168\u3066\u306e\u5143\u304c\u51aa\u7b49\u3067\u3042\u308b\u5834\u5408\u306b\u306f\u3001\u305d\u306e\u4e8c\u9805\u6f14\u7b97 “*” \u306f\u51aa\u7b49\uff08\u6f14\u7b97\uff09\u3067\u3042\u308b\u3068\u3044\u3046\u3002\u4f8b\u3048\u3070\u3001\u96c6\u5408\u306e\u7d50\u3073\u3068\u4ea4\u308f\u308a\u306f\u3069\u3061\u3089\u3082\u51aa\u7b49\u6f14\u7b97\u3067\u3042\u308b\u3002\u5358\u9805\u6f14\u7b97[\u7de8\u96c6]\u5358\u9805\u6f14\u7b97\u3001\u3064\u307e\u308a\u96c6\u5408 X \u304b\u3089 X \u3078\u306e\u5199\u50cf f \u304c\u3001X \u306e\u3044\u304b\u306a\u308b\u5143 x \u306b\u3064\u3044\u3066\u3082  f(f(x))=f(x){displaystyle f(f(x))=f(x)}\u3092\u6e80\u305f\u3059\u3068\u304d\u3001f \u306f\u51aa\u7b49\u3067\u3042\u308b\u3068\u3044\u3046\u3002\u3053\u308c\u3092\u5199\u50cf\u306e\u5408\u6210 \u2218 \u3067\u8868\u3059\u3068f\u2218f=f{displaystyle fcirc f=f}\u3068\u306a\u308b\u3002\u3064\u307e\u308a\u3001X \u4e0a\u306e\u51aa\u7b49\u5358\u9805\u6f14\u7b97\u3068\u306f\u3001X \u304b\u3089\u305d\u308c\u81ea\u8eab\u3078\u306e\u5199\u50cf\u5168\u4f53\u306e\u306a\u3059\u96c6\u5408 XX \u306b\u304a\u3051\u308b\u3001\u5408\u6210 \u2218 \u306b\u95a2\u3057\u3066\uff08\u4e0a\u8a18\u3001\u4e8c\u9805\u6f14\u7b97\u306b\u5bfe\u3059\u308b\u610f\u5473\u3067\uff09\u51aa\u7b49\u306a\u5143\u306e\u3053\u3068\u3067\u3042\u308b\u3002\u5199\u50cf[\u7de8\u96c6]\u6052\u7b49\u5199\u50cf id(x) = x \u3084\u5b9a\u5024\u5199\u50cf f(x) = C \u306f\u3001\u305d\u308c\u304c\u3044\u304b\u306a\u308b\u96c6\u5408\u4e0a\u3067\u5b9a\u7fa9\u3055\u308c\u3066\u3044\u305f\u3068\u3057\u3066\u3082\u5e38\u306b\u51aa\u7b49\u5199\u50cf\u3067\u3042\u308b\u3002\u3082\u3046\u3059\u3053\u3057\u660e\u3089\u304b\u3067\u306a\u3044\u4f8b\u3068\u3057\u3066\u3001\u5b9f\u6570\u3084\u8907\u7d20\u6570\u306b\u5bfe\u3059\u308b\u7d76\u5bfe\u5024\u95a2\u6570\u3001\u5b9f\u6570\u306e\u5e8a\u95a2\u6570\u306a\u3069\u304c\u6319\u3052\u3089\u308c\u308b\u3002\u3042\u308b\u4f4d\u76f8\u7a7a\u9593 X \u306e\u5404\u90e8\u5206\u96c6\u5408 U \u306b\u3064\u3044\u3066 U \u306e\u9589\u5305\u3092\u4e0e\u3048\u308b\u5199\u50cf\u306f\u3001X\u306e\u51aa\u96c6\u5408\u306b\u304a\u3051\u308b\u51aa\u7b49\u5199\u50cf\u3067\u3042\u308b\u3002\u3053\u308c\u306f\u9589\u5305\u4f5c\u7528\u7d20\u306e\u4f8b\u3067\u3042\u308a\u3001\u5168\u3066\u306e\u9589\u5305\u4f5c\u7528\u7d20\u306f\u51aa\u7b49\u5199\u50cf\u3067\u3042\u308b\u3002\u74b0\u306e\u51aa\u7b49\u5143[\u7de8\u96c6]\u74b0\u306b\u304a\u3051\u308b\u51aa\u7b49\u5143\u3068\u306f\u3001\u74b0\u306e\u4e57\u6cd5\u306b\u95a2\u3057\u3066\u51aa\u7b49\u3067\u3042\u308b\u3088\u3046\u306a\u5143\u306e\u3053\u3068\u3068\u5b9a\u7fa9\u3055\u308c\u308b\u3002\u74b0\u306e\u51aa\u7b49\u5143\u5168\u4f53\u304b\u3089\u306a\u308b\u96c6\u5408\u306e\u534a\u9806\u5e8f\u3092\u6b21\u306e\u3088\u3046\u306b\u5b9a\u7fa9\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u308b\u3002\u3059\u306a\u308f\u3061\u3001e \u3068 f \u304c\u51aa\u7b49\u306a\u5143\u3067\u3042\u308b\u3068\u304d\u3001ef = fe = e \u3068\u306a\u308b\u3068\u304d\u304b\u3064\u305d\u306e\u3068\u304d\u306b\u9650\u3063\u3066 e \u2264 f \u304c\u6210\u308a\u7acb\u3064\u3068\u5b9a\u3081\u308b\u306e\u3067\u3042\u308b\u3002\u3053\u306e\u9806\u5e8f\u3067\u306f 0 \u304c\u6700\u5c0f\u306a\u51aa\u7b49\u5143\u3067\u3042\u308a\u30011 \u304c\u6700\u5927\u306e\u51aa\u7b49\u5143\u3068\u306a\u308b\u3002\u74b0 R \u306b\u304a\u3044\u3066 e \u304c\u51aa\u7b49\u3067\u3042\u308b\u3068\u304d\u3001eRe \u3082 e \u3092\u4e57\u6cd5\u5358\u4f4d\u5143\u3068\u3059\u308b\u74b0\u306b\u306a\u308b\u3002\u3082\u3068\u306e\u74b0 R \u304c\u5358\u4f4d\u5143 1R \u3092\u6301\u3064\u5834\u5408\u3067\u3082\u3001e \u2260 1R \u306a\u3089\u3070\u5358\u4f4d\u5143\u304c\u7570\u306a\u308b\u305f\u3081\u5358\u4f4d\u7684\u74b0\u3068\u3057\u3066\u306e\u90e8\u5206\u74b0\u306b\u306f\u306a\u3063\u3066\u3044\u306a\u3044\u30022\u3064\u306e\u51aa\u7b49\u5143 e \u3068 f \u306f ef = fe = 0 \u304c\u6210\u308a\u7acb\u3064\u3068\u304d\u76f4\u4ea4\u3059\u308b\u3068\u3044\u3046\u3002\u3053\u306e\u5834\u5408\u3001e + f \u3082\u51aa\u7b49\u3067\u3042\u308a\u3001e \u2264 e + f \u304b\u3064 f \u2264 e + f \u3067\u3042\u308b\u3002\u74b0 R \u3067 e \u304c\u51aa\u7b49\u3067\u3042\u308b\u3068\u304d\u3001f = 1 \u2212 e \u3068\u7f6e\u3051\u3070 f \u3068 e \u306f\u76f4\u4ea4\u3059\u308b\uff08e \u304c\u51aa\u7b49\u306a\u306e\u3067 ee = e \u3067\u3042\u308b\u304b\u3089\u3001ef = fe = 0 \u3068\u306a\u308b\uff09\u3002R \u306e\u51aa\u7b49\u5143 e \u304c R \u306e\u4e2d\u5fc3\u306b\u5c5e\u3059\u3068\u304d\u3001\u3064\u307e\u308a R \u5185\u306e\u5168\u3066\u306e x \u306b\u3064\u3044\u3066 ex = xe \u304c\u6210\u308a\u7acb\u3064\u3068\u304d\u3001e \u306f\u4e2d\u5fc3\u7684 (central) \u3042\u308b\u3044\u306f\u4e2d\u5fc3\u51aa\u7b49\u5143\u3067\u3042\u308b\u3068\u3044\u3046\u3002\u3053\u306e\u5834\u5408\u3001Re \u306f e \u3092\u4e57\u6cd5\u5358\u4f4d\u5143\u3068\u3059\u308b\u74b0\u3067\u3042\u308b\u3002R \u306e\u4e2d\u5fc3\u51aa\u7b49\u5143\u306f\u3001\u8907\u6570\u306e\u74b0\u306e\u76f4\u548c\u3068\u3057\u3066\u306e R \u306e\u5206\u89e3\u3068\u5bc6\u63a5\u306b\u95a2\u4fc2\u3059\u308b\u3002\u5358\u4f4d\u7684\u74b0 R \u304c\u74b0 R1,…,Rn \u306e\u76f4\u548c\u3067\u3042\u308b\u3068\u304d\u3001\u5404\u74b0 Ri \u306e\u5358\u4f4d\u5143\u306f R \u306b\u304a\u3044\u3066\u4e92\u3044\u306b\u76f4\u4ea4\u3059\u308b\u4e2d\u5fc3\u51aa\u7b49\u5143\u3067\u3042\u308a\u3001\u3053\u308c\u3089\u306e\u7dcf\u548c\u304c\u5358\u4f4d\u5143 1 \u306b\u4e00\u81f4\u3059\u308b\u3002\u9006\u306b\u3001R \u306b\u304a\u3044\u3066\u4e2d\u5fc3\u7684\u306a\u51aa\u7b49\u5143 e1,…,en \u304c\u3069\u306e\u4e8c\u3064\u3082\u4e92\u3044\u306b\u76f4\u4ea4\u3057\u3001\u3053\u308c\u3089\u306e\u7dcf\u548c\u304c\u5358\u4f4d\u7684\u74b0 R \u306e\u5358\u4f4d\u5143 1 \u306b\u4e00\u81f4\u3059\u308b\u306a\u3089\u3070\u3001R \u306f\u74b0 Re1,…,Ren \u306e\u76f4\u548c\u3067\u3042\u308b\u3002\u3064\u307e\u308a\u3001R \u306e\u4e2d\u5fc3\u51aa\u7b49\u5143 e \u306b\u5bfe\u3057\u3001R \u306f Re \u3068 R(1 \u2212 e) \u306e\u76f4\u548c\u306b\u5206\u89e3\u3067\u304d\u308b\u30020 \u3067\u3082 1 \u3067\u3082\u306a\u3044\u51aa\u7b49\u5143 e \u306f\u96f6\u56e0\u5b50\u3067\u3042\u308b\uff08e(1 \u2212 e) =  0 \u3067\u3042\u308b\uff09\u305f\u3081\u3001\u6574\u57df\u3084\u53ef\u9664\u74b0\u306b\u306f\u305d\u306e\u3088\u3046\u306a\u51aa\u7b49\u5143\u306f\u5b58\u5728\u3057\u306a\u3044\u3002\u5c40\u6240\u74b0\u306b\u3082\u305d\u306e\u3088\u3046\u306a\u51aa\u7b49\u5143\u306f\u5b58\u5728\u3057\u306a\u3044\u304c\u3001\u7406\u7531\u306f\u7570\u306a\u308a\u3001\u74b0\u306e\u30b8\u30e3\u30b3\u30d6\u30bd\u30f3\u6839\u57fa\u306b\u542b\u307e\u308c\u308b\u51aa\u7b49\u5143\u306f\uff08\u6839\u57fa\u304c\u51aa\u96f6\u5143\u30a4\u30c7\u30a2\u30eb\u3086\u3048\uff09 0 \u3060\u3051\u3067\u3042\u308b\u3053\u3068\u306b\u3088\u308b\u3002\u307e\u305f\u3001\uff08\u53ef\u9664\u3086\u3048\u306b\u51aa\u7b49\u5143\u3092\u6301\u305f\u306a\u3044\u56db\u5143\u6570\u4f53\u306b\u5bfe\u3057\u3066\uff09\u5206\u89e3\u578b\u56db\u5143\u6570\u74b0 (split-quaternion, coquaternion) \u306b\u306f\u51aa\u7b49\u5143\u304c\u5b58\u5728\u3057\u3066\u3001\u305d\u308c\u3089\u306f\u3061\u3087\u3046\u3069\u56de\u8ee2\u30ab\u30c6\u30ca\u30ea\u30fc\u66f2\u9762 (catenoid) \u3092\u5f62\u4f5c\u308b\u3002\u5168\u3066\u306e\u5143\u304c\u51aa\u7b49\u3067\u3042\u308b\u74b0\u3092\u30d6\u30fc\u30eb\u74b0\u3068\u547c\u3076\u3002\u3053\u306e\u5834\u5408\u3001\u4e57\u7b97\u306f\u53ef\u63db\u3067\u3001\u5404\u5143\u306b\u306f\u52a0\u6cd5\u306b\u5bfe\u3059\u308b\u9006\u5143\u304c\u5b58\u5728\u3059\u308b\u3002\u305d\u306e\u4ed6[\u7de8\u96c6]\u60c5\u5831\u5de5\u5b66\u306b\u304a\u3051\u308b\u51aa\u7b49[\u7de8\u96c6]\u60c5\u5831\u5de5\u5b66\u306b\u304a\u3051\u308b\u51aa\u7b49\u3068\u306f\u3001\u3042\u308b\u64cd\u4f5c\u30921\u5ea6\u884c\u3063\u3066\u3082\u8907\u6570\u56de\u884c\u3063\u3066\u3082\u540c\u3058\u52b9\u679c\u3068\u306a\u308b\u3053\u3068\u3092\u8a00\u3046\u3002\u7279\u306b\u3001\u4f55\u56de\u884c\u3063\u3066\u3082\u30a8\u30e9\u30fc\u3084\u4e0d\u6574\u5408\u306e\u72b6\u614b\u304c\u5909\u308f\u3089\u306a\u3044\u64cd\u4f5c\u3092\u6307\u3059\u3002\u95a2\u6570\u306e\u4f8b[\u7de8\u96c6]\u7d76\u5bfe\u5024\u95a2\u6570 abs(x) == abs(abs(x)) == abs(abs(abs(x))) == ... \u306f\u5168\u3066\u306e x \u306b\u3064\u3044\u3066\u51aa\u7b49\u3067\u3042\u308b\u3002\u63db\u8a00\u3059\u308c\u3070\u3001abs \u3092\u4e00\u56de\u9069\u7528\u3057\u305f\u7d50\u679c\u3068\u8907\u6570\u56de\u9069\u7528\u3057\u305f\u7d50\u679c\u306f\u7b49\u3057\u3044\u3002\u51aa\u7b49\u306a\u30d8\u30c3\u30c0\u30d5\u30a1\u30a4\u30eb[\u7de8\u96c6]C\u8a00\u8a9e\u306e\u30d8\u30c3\u30c0\u30d5\u30a1\u30a4\u30eb\u306f\u51aa\u7b49\u306b\u306a\u308b\u3088\u3046\u8a2d\u8a08\u3055\u308c\u308b\u3002\u3059\u306a\u308f\u3061\u3001\u3042\u308b\u30d8\u30c3\u30c0\u30d5\u30a1\u30a4\u30eb\u304c\u8907\u6570\u56de\u30a4\u30f3\u30af\u30eb\u30fc\u30c9\u3055\u308c\u305f\u5834\u5408\uff08#include \u306e\u5165\u308c\u5b50\u306b\u3088\u3063\u3066\u5bb9\u6613\u306b\u767a\u751f\u3059\u308b\uff09\u3001\u554f\u984c\u304c\u767a\u751f\u3057\u306a\u3044\u3088\u3046\u306b\u3057\u3066\uff08\u30a4\u30f3\u30af\u30eb\u30fc\u30c9\u30ac\u30fc\u30c9\uff08\u82f1\u8a9e\u7248\uff09\uff09\u3001\u4e00\u56de\u30a4\u30f3\u30af\u30eb\u30fc\u30c9\u3057\u305f\u306e\u3068\u540c\u3058\u52b9\u679c\u3092\u3082\u305f\u3089\u3059\u3088\u3046\u306b\u3059\u308b\u3002WWW[\u7de8\u96c6]HTTP \u306e GET \u8981\u6c42\u306f\u51aa\u7b49\u3068\u307f\u306a\u3055\u308c\u308b[1]\u3002Web\u306e\u6a5f\u69cb\u306f\u57fa\u672c\u7684\u306b\u305d\u306e\u524d\u63d0\u3067\u8981\u6c42\u7d50\u679c\u3092\u30ad\u30e3\u30c3\u30b7\u30e5\u306b\u4fdd\u6301\u3059\u308b\u3002HTTP \u306e POST \u8981\u6c42\uff08\u30d5\u30a9\u30fc\u30e0\u9001\u4fe1\u306b\u4f7f\u308f\u308c\u308b\uff09\u306f\u51aa\u7b49\u3068\u306f\u307f\u306a\u3055\u308c\u306a\u3044\u305f\u3081\u3001POST \u8981\u6c42\u306f\u30ad\u30e3\u30c3\u30b7\u30e5\u3055\u308c\u306a\u3044\u3002HTTP \u306e DELETE \u8981\u6c42\uff08\u6307\u5b9a\u3057\u305fURI\u306e\u30ea\u30bd\u30fc\u30b9\u3092\u524a\u9664\u3059\u308b\u8981\u6c42\uff09\u3082\u51aa\u7b49\u3067\u3042\u308b\u3002\u51aa\u7b49\u306f\u3001\u5358\u306b\u51e6\u7406\u4e2d\u306e\u8981\u6c42\u3092\u518d\u5ea6\u53d7\u3051\u4ed8\u3051\u305f\u3068\u304d\u306b\u4f55\u3082\u3057\u306a\u3044\u3068\u3044\u3046\u3060\u3051\u3067\u306f\u306a\u3044\u3002\u305d\u306e\u3088\u3046\u306a\u64cd\u4f5c\u306f\u51aa\u7b49\u3067\u306f\u306a\u304f\u5b89\u5168\uff08safe\uff09\u3067\u3042\u308b\u3068\u3044\u3046\u3002NFS[\u7de8\u96c6]NFS\u30d7\u30ed\u30c8\u30b3\u30eb\u306e\u8a2d\u8a08\u8005\u306f\u3001\u51aa\u7b49\u306a\u64cd\u4f5c\u306b\u3088\u3063\u3066\u30b5\u30fc\u30d0\u3084\u30cd\u30c3\u30c8\u30ef\u30fc\u30af\u306e\u6545\u969c\u306e\u969b\u306e\u56de\u5fa9\u529b\u304c\u5897\u3059\u3053\u3068\u3092\u7406\u89e3\u3057\u3066\u3044\u305f\u3002\u30b5\u30fc\u30d0\u5185\u306b\u72b6\u614b\u3092\u6301\u305f\u306a\u3044\u3053\u3068\u3067\u3053\u308c\u304c\u5b9f\u73fe\u3055\u308c\u308b\u3002\u30af\u30e9\u30a4\u30a2\u30f3\u30c8\u5074\u306f Read \u3084 Write \u306e\u8981\u6c42\u304c\u30bf\u30a4\u30e0\u30a2\u30a6\u30c8\u3057\u305f\u3068\u304d\u3001\u4e0d\u6b63\u306a\u7d50\u679c\u304c\u5f97\u3089\u308c\u308b\u3053\u3068\u3092\u5fc3\u914d\u305b\u305a\u306b\u518d\u5ea6\u8981\u6c42\u3059\u308c\u3070\u3088\u3044\u3002NFS 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