[{"@context":"http:\/\/schema.org\/","@type":"BlogPosting","@id":"https:\/\/wiki.edu.vn\/jp\/wiki23\/archives\/106678#BlogPosting","mainEntityOfPage":"https:\/\/wiki.edu.vn\/jp\/wiki23\/archives\/106678","headline":"\u51aa\u4e57\u5247 – Wikipedia","name":"\u51aa\u4e57\u5247 – Wikipedia","description":"before-content-x4 \u51aa\u4e57\u5247\u306b\u3057\u305f\u304c\u3046\u30b0\u30e9\u30d5\u306e\u4f8b\u3002\u6a2a\u8ef8\u304c\u5546\u54c1\u306e\u30a2\u30a4\u30c6\u30e0\u6570\u3001\u7e26\u8ef8\u304c\u8ca9\u58f2\u6570\u91cf\u3092\u8868\u3059\u3002\u3053\u306e\u30e2\u30c7\u30eb\u306f\u300c80:20\u306e\u6cd5\u5247\u300d\u3068\u3057\u3066\u77e5\u3089\u308c\u3001\u53f3\u306b\u5411\u304b\u3046\u90e8\u5206\u306f\u30ed\u30f3\u30b0\u30c6\u30fc\u30eb\u3068\u547c\u3070\u308c\u308b\u3002 \u51aa\u4e57\u5247\uff08\u3079\u304d\u3058\u3087\u3046\u305d\u304f\u3001power law\uff09\u306f\u3001\u7d71\u8a08\u30e2\u30c7\u30eb\u306e\u4e00\u3064\u3002\u6700\u3082\u4e00\u822c\u7684\u306a\u51aa\u4e57\u5247\u306f\u3001 after-content-x4 f(x)=axk+o(xk){displaystyle f(x)=ax^{k}+o(x^{k}),} after-content-x4 \u3067\u8868\u3055\u308c\u3001\u5b9a\u6570 c \u306b\u5bfe\u3057\u3066 f(cx)\u221df(x){displaystyle f(cx)propto f(x)} \u3092\u6e80\u305f\u3059\u3082\u306e\u3067\u3042\u308b\u3002\u3053\u3053\u306b\u3001a \u3068 k \u306f\u5b9a\u6570\u3001o \u306f\u30e9\u30f3\u30c0\u30a6\u306e\u8a18\u53f7\u3067\u3042\u308b\u3002k \u306f\u30b9\u30b1\u30fc\u30ea\u30f3\u30b0\u6307\u6570","datePublished":"2022-03-23","dateModified":"2022-03-23","author":{"@type":"Person","@id":"https:\/\/wiki.edu.vn\/jp\/wiki23\/archives\/author\/lordneo#Person","name":"lordneo","url":"https:\/\/wiki.edu.vn\/jp\/wiki23\/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:\/\/upload.wikimedia.org\/wikipedia\/commons\/thumb\/8\/8a\/Long_tail.svg\/300px-Long_tail.svg.png","url":"https:\/\/upload.wikimedia.org\/wikipedia\/commons\/thumb\/8\/8a\/Long_tail.svg\/300px-Long_tail.svg.png","height":"156","width":"300"},"url":"https:\/\/wiki.edu.vn\/jp\/wiki23\/archives\/106678","about":["Wiki"],"wordCount":1597,"articleBody":"     (adsbygoogle = window.adsbygoogle || []).push({});before-content-x4  \u51aa\u4e57\u5247\u306b\u3057\u305f\u304c\u3046\u30b0\u30e9\u30d5\u306e\u4f8b\u3002\u6a2a\u8ef8\u304c\u5546\u54c1\u306e\u30a2\u30a4\u30c6\u30e0\u6570\u3001\u7e26\u8ef8\u304c\u8ca9\u58f2\u6570\u91cf\u3092\u8868\u3059\u3002\u3053\u306e\u30e2\u30c7\u30eb\u306f\u300c80:20\u306e\u6cd5\u5247\u300d\u3068\u3057\u3066\u77e5\u3089\u308c\u3001\u53f3\u306b\u5411\u304b\u3046\u90e8\u5206\u306f\u30ed\u30f3\u30b0\u30c6\u30fc\u30eb\u3068\u547c\u3070\u308c\u308b\u3002\u51aa\u4e57\u5247\uff08\u3079\u304d\u3058\u3087\u3046\u305d\u304f\u3001power law\uff09\u306f\u3001\u7d71\u8a08\u30e2\u30c7\u30eb\u306e\u4e00\u3064\u3002\u6700\u3082\u4e00\u822c\u7684\u306a\u51aa\u4e57\u5247\u306f\u3001       (adsbygoogle = window.adsbygoogle || []).push({});after-content-x4f(x)=axk+o(xk){displaystyle f(x)=ax^{k}+o(x^{k}),}       (adsbygoogle = window.adsbygoogle || []).push({});after-content-x4\u3067\u8868\u3055\u308c\u3001\u5b9a\u6570 c \u306b\u5bfe\u3057\u3066 f(cx)\u221df(x){displaystyle f(cx)propto f(x)} \u3092\u6e80\u305f\u3059\u3082\u306e\u3067\u3042\u308b\u3002\u3053\u3053\u306b\u3001a \u3068 k \u306f\u5b9a\u6570\u3001o \u306f\u30e9\u30f3\u30c0\u30a6\u306e\u8a18\u53f7\u3067\u3042\u308b\u3002k \u306f\u30b9\u30b1\u30fc\u30ea\u30f3\u30b0\u6307\u6570 (scaling exponent) \u3068\u547c\u3070\u308c\u308b\u3002\u3053\u306e\u95a2\u4fc2\u306f\u3001\u30b9\u30b1\u30fc\u30eb\u95a2\u6570\u306e\u5909\u5316\u306b\u4f34\u3044\u95a2\u6570\u306e\u72ec\u7acb\u5909\u6570\u306e\u30b9\u30b1\u30fc\u30eb\u304c\u5909\u308f\u308b\u3068\u3001\u6bd4\u4f8b\u5b9a\u6570\u306f\u5909\u308f\u308b\u304c\u3001\u95a2\u6570\u305d\u308c\u81ea\u4f53\u306e\u5f62\u5f0f\u306f\u4fdd\u5b58\u3055\u308c\u308b\u3053\u3068\u3092\u610f\u5473\u3059\u308b\u3002\u3053\u306e\u95a2\u4fc2\u306f\u3001\u4e21\u65b9\u306e\u5909\u6570\u306e\u5bfe\u6570\u3092\u3068\u308b\u3068\u3088\u308a\u660e\u3089\u304b\u306b\u306a\u308b\u3002\u30b0\u30e9\u30d5\u306b\u63cf\u3051\u3070\u3001\u4e21\u5bfe\u6570\u30b0\u30e9\u30d5\u306b\u304a\u3044\u3066\u3001\u7dda\u578b\u306b\u306a\u308b\u3002\u7247\u5bfe\u6570\u30b0\u30e9\u30d5\u3067\u7dda\u578b\u306b\u306a\u308b\u306e\u306f\u6307\u6570\u95a2\u6570\u3002       (adsbygoogle = window.adsbygoogle || []).push({});after-content-x4log\u2061(f(x))=klog\u2061x+log\u2061a{displaystyle log left(f(x)right)=klog x+log a} .\u3053\u306e\u5f0f\u306f\u3001\u3053\u306e\u50be\u304dk \u306e\u7dda\u578b\u95a2\u4fc2\u306e\u5f62\u3092\u3068\u308a\u3001\u72ec\u7acb\u5909\u6570\u306e\u30b9\u30b1\u30fc\u30ea\u30f3\u30b0\u306f\u3001\u95a2\u6570\u306e\u4e0a\u304b\u4e0b\u304b\u306e\u79fb\u52d5\u3092\u8a98\u5c0e\u3057\u3001\u95a2\u6570\u306e\u5f62\u3068\u50be\u304dk \u306e\u4e21\u65b9\u304c\u5909\u5316\u3057\u306a\u3044\u3002\u78ba\u7387\u5206\u5e03\u3068\u3057\u3066\u306f\u3001\u30d1\u30ec\u30fc\u30c8\u5206\u5e03\u3084\u30bc\u30fc\u30bf\u5206\u5e03(Zeta distribution)\u3084\u30b8\u30c3\u30d7\u5206\u5e03\u3092\u53c2\u7167\u3002Table of Contents\u81ea\u7136\u73fe\u8c61\u30fb\u793e\u4f1a\u73fe\u8c61[\u7de8\u96c6]\u51aa\u4e57\u5247\u306e\u6027\u8cea[\u7de8\u96c6]\u30b9\u30b1\u30fc\u30eb\u4e0d\u5909\u6027[\u7de8\u96c6]\u95a2\u9023\u9805\u76ee[\u7de8\u96c6]\u5916\u90e8\u30ea\u30f3\u30af[\u7de8\u96c6]\u81ea\u7136\u73fe\u8c61\u30fb\u793e\u4f1a\u73fe\u8c61[\u7de8\u96c6]\u51aa\u4e57\u5247\u95a2\u4fc2\u306f\u3001\u9a5a\u304f\u307b\u3069\u591a\u304f\u306e\u81ea\u7136\u73fe\u8c61\u306e\u5f62\u614b\uff08\u95a2\u4fc2\uff09\u3092\u8a18\u8ff0\u3059\u308b\u3002\u305f\u3068\u3048\u3070\u3001\u91cd\u529b\u3084\u30af\u30fc\u30ed\u30f3\u529b\u306e\u3088\u3046\u306a\u9006\u4e8c\u4e57\u306e\u6cd5\u5247\u306f\u51aa\u4e57\u5247\u3067\u3042\u308b\u3002\u307e\u305f\u3001\u5186\u306e\u9762\u7a4d\u306b\u304a\u3051\u308b\u81ea\u4e57\u6bd4\u4f8b\u306e\u6cd5\u5247\u306a\u3069\u591a\u304f\u306e\u6570\u5b66\u7684\u306a\u516c\u5f0f\u3082\u51aa\u4e57\u5247\u3067\u3042\u308b\u3002\u540c\u69d8\u306b\u3001\u591a\u304f\u306e\u78ba\u7387\u5206\u5e03\u306f\u3001\u6f38\u8fd1\u7684\u306b\u51aa\u4e57\u5247\u95a2\u4fc2\u306b\u8fd1\u3065\u304f\u30c6\u30fc\u30eb\u3092\u6301\u3064\u3002\u3053\u3046\u3057\u305f\u51aa\u4e57\u5247\u306f\u3001\u682a\u5f0f\u5e02\u5834\u306e\u5d29\u58ca\u3084\u5927\u898f\u6a21\u306a\u81ea\u7136\u707d\u5bb3\u306e\u3088\u3046\u306a\u6975\u7aef\u306b\u307e\u308c\u306a\u983b\u5ea6\u3060\u3068\u8003\u3048\u3089\u308c\u308b\u3001\u6975\u5024\u7406\u8ad6\u3068\u5f37\u3044\u3064\u306a\u304c\u308a\u304c\u3042\u308b\u3002\u51aa\u4e57\u5247\u95a2\u4fc2\u306e\u79d1\u5b66\u7684\u306a\u95a2\u5fc3\u306f\u3001\u95a2\u6570\u3084\u5206\u5e03\u304c\u3001\u3042\u308b\u4e00\u822c\u7684\u306a\u30af\u30e9\u30b9\u306e\u4ed5\u7d44\u307f\u304b\u3089\u305f\u3084\u3059\u304f\u751f\u6210\u3055\u308c\u308b\u304b\u3069\u3046\u304b\u306b\u3042\u308b\u3002\u305d\u308c\u306f\u3001\u30c7\u30fc\u30bf\u306e\u51aa\u4e57\u5247\u95a2\u4fc2\u3092\u89b3\u5bdf\u3059\u308b\u3053\u3068\u306f\u3001\u3057\u3070\u3057\u3070\u554f\u3046\u3066\u3044\u308b\u81ea\u7136\u73fe\u8c61\u306b\u6f5c\u3093\u3060\u7279\u5b9a\u306e\u7a2e\u985e\u306e\u4ed5\u7d44\u307f\u3092\u6307\u3057\u793a\u3059\u3053\u3068\u306b\u306a\u308b\u3002\u305d\u3057\u3066\u3001\u95a2\u4fc2\u306a\u3044\u3068\u8003\u3048\u3089\u308c\u305f\u307b\u304b\u306e\u73fe\u8c61\u3068\u306e\u6df1\u3044\u3064\u306a\u304c\u308a\u3092\u793a\u3059\u3053\u3068\u304c\u3057\u3070\u3057\u3070\u3067\u304d\u308b\u3002\uff08\u305f\u3068\u3048\u3070\u3001\u30b7\u30e2\u30f3\uff08\u53c2\u8003\u6587\u732e\uff09\u3084\u3001\u666e\u904d\u6027\u3092\u898b\u3088\u3002\uff09\u7269\u7406\u5b66\u306b\u304a\u3044\u3066\u51aa\u4e57\u5247\u304c\u3042\u3061\u3053\u3061\u3067\u89b3\u6e2c\u3055\u308c\u308b\u306e\u306f\u3001\u90e8\u5206\u7684\u306b\u306f\u6b21\u5143\u89e3\u6790\u306e\u305f\u3081\u3067\u3042\u308b\u3002\u4e00\u65b9\u3001\u8907\u96d1\u30b7\u30b9\u30c6\u30e0\u306b\u304a\u3044\u3066\u3001\u51aa\u4e57\u5247\u306f\u3001\u3057\u3070\u3057\u3070\u968e\u5c64\u6027\u3068\u69cb\u9020\u5b89\u5b9a\u6027\u306e\u3057\u308b\u3057\u3067\u3042\u308b\u3068\u8003\u3048\u3089\u308c\u308b\u3002\u51aa\u4e57\u5247\u306e\u6570\u5c11\u306a\u3044\u6709\u540d\u306a\u4f8b\u306f\u3001\u5730\u9707\u306e\u5927\u304d\u3055\u306b\u95a2\u3059\u308b\u30b0\u30fc\u30c6\u30f3\u30d9\u30eb\u30b0\u30fb\u30ea\u30d2\u30bf\u30fc\u5247\u3084\u3001\u53ce\u5165\u306e\u5206\u5e03\u306b\u3064\u3044\u3066\u306e\u30d1\u30ec\u30fc\u30c8\u306e\u6cd5\u5247\u3084\u3001\u69cb\u9020\u7684\u81ea\u5df1\u76f8\u4f3c\u6027\u306e\u30d5\u30e9\u30af\u30bf\u30eb\u3001\u305d\u3057\u3066\u3001\u751f\u7269\u5b66\u7684\u4f53\u7cfb\u306b\u304a\u3051\u308b\u30b9\u30b1\u30fc\u30ea\u30f3\u30b0\u6cd5\u5247\uff08\u30a2\u30ed\u30e1\u30c8\u30ea\u30fc\uff09\u304c\u3042\u308b\u3002\u51aa\u4e57\u5247\u306e\u95a2\u4fc2\u306e\u8d77\u6e90\u306b\u3064\u3044\u3066\u306e\u7814\u7a76\u3068\u3001\u73fe\u5b9f\u306e\u4e16\u754c\u3067\u51aa\u4e57\u5247\u95a2\u4fc2\u3092\u89b3\u5bdf\u3057\u3001\u6b63\u5f53\u6027\u3092\u8a3c\u660e\u3057\u3088\u3046\u3068\u3059\u308b\u52aa\u529b\u306f\u3001\u73fe\u4ee3\u79d1\u5b66\u306e\u8af8\u5206\u91ce\u306b\u304a\u3044\u3066\u6975\u7aef\u306b\u6d3b\u767a\u3067\u3042\u308b\u3002\u6d3b\u767a\u306a\u5206\u91ce\u306b\u306f\u3001\u7269\u7406\u5b66\u3001\u8a08\u7b97\u6a5f\u79d1\u5b66\u3001\u8a00\u8a9e\u5b66\u3001\u5730\u7403\u7269\u7406\u5b66\u3001\u793e\u4f1a\u5b66\u3001\u7d4c\u6e08\u5b66\u3001\u7d4c\u6e08\u7269\u7406\u5b66\u306a\u3069\u3082\u308d\u3082\u308d\u5b58\u5728\u3059\u308b\u3002\u51aa\u4e57\u5247\u306e\u6027\u8cea[\u7de8\u96c6]\u30b9\u30b1\u30fc\u30eb\u4e0d\u5909\u6027[\u7de8\u96c6]\u51aa\u4e57\u5247\u3092\u975e\u5e38\u306b\u8208\u5473\u6df1\u3044\u3082\u306e\u3068\u3059\u308b\u4e3b\u306a\u6027\u8cea\u306f\u3001\u30b9\u30b1\u30fc\u30eb\u4e0d\u5909\u6027\u306b\u3042\u308b\u3002f(x)=axk{displaystyle f(x)=ax^{k}} \u3068\u3044\u3046\u95a2\u4fc2\u3001\u3042\u308b\u3044\u306f\u3044\u304b\u306a\u308b\u540c\u6b21\u591a\u9805\u5f0f\u3067\u3042\u3063\u3066\u3082\u3001\u5b9a\u6570\u56e0\u5b50\u306b\u3088\u3063\u3066\u72ec\u7acb\u5909\u6570x{displaystyle x} \u306e\u30b9\u30b1\u30fc\u30eb\u3092\u5909\u5316\u3055\u305b\u308b\u3053\u3068\u306f\u3001\u95a2\u6570\u305d\u308c\u81ea\u4f53\u306e\u30b9\u30b1\u30fc\u30ea\u30f3\u30b0\u306e\u6bd4\u4f8b\u306b\u5e30\u7d50\u3059\u308b\u3060\u3051\u3060\u3002f(cx)=a(cx)k=ckf(x)\u221df(x){displaystyle f(cx)=a(cx)^{k}=c^{k}f(x)propto f(x)}\u3053\u306e\u5f0f\u306f\u3001\u5b9a\u6570\u306b\u3088\u308b\u30b9\u30b1\u30fc\u30ea\u30f3\u30b0\u3068\u306f\u3001\u5358\u306b\u5143\u306e\u51aa\u4e57\u5247\u95a2\u4fc2\u306b\u5b9a\u6570\u3001ck{displaystyle c^{k}} \u3092\u4e57\u3058\u308b\u3053\u3068\u3067\u3042\u308b\u3053\u3068\u3092\u793a\u3059\u3002\u3053\u306e\u3088\u3046\u306b\u3001\u7279\u5b9a\u306e\u30b9\u30b1\u30fc\u30ea\u30f3\u30b0\u6307\u6570\u3092\u6301\u3064\u3059\u3079\u3066\u306e\u51aa\u4e57\u5247\u306f\u3001\u5b9a\u6570\u500d\u3068\u540c\u7b49\u3068\u306a\u308b\u3002\u306a\u305c\u306a\u3089\u3070\u3001\u3072\u3068\u3064\u3072\u3068\u3064\u304c\u4ed6\u306e\u8981\u56e0\u306e\u30b9\u30b1\u30fc\u30eb\u3055\u308c\u305f\u7248\u3067\u3042\u308b\u304b\u3089\u3060\u3002\u3053\u306e\u3075\u308b\u307e\u3044\u306f\u3001f(x){displaystyle f(x)} \u3068x{displaystyle x} \u306e\u4e21\u5bfe\u6570\u3092\u3068\u3063\u305f\u3068\u304d\u306b\u3001\u7dda\u578b\u95a2\u4fc2\u3092\u7523\u3080\u3053\u3068\u306b\u306a\u308b\u3002\u3053\u3046\u3057\u305f\u5bfe\u6570-\u5bfe\u6570\u30d7\u30ed\u30c3\u30c8\u306b\u304a\u3051\u308b\u76f4\u7dda\u95a2\u4fc2\u306f\u3001\u3088\u304f\u51aa\u4e57\u5247\u306esignature\u3068\u547c\u3070\u308c\u308b\u3002\u3057\u304b\u3057\u3001\u5b9f\u969b\u306e\u30c7\u30fc\u30bf\u306b\u304a\u3044\u3066\u3001\u3053\u3046\u3057\u305f\u76f4\u7dda\u95a2\u4fc2\u306f\u5fc5\u8981\u6761\u4ef6\u3067\u3042\u3063\u3066\u3082\u3001\u51aa\u4e57\u5247\u95a2\u4fc2\u306b\u30c7\u30fc\u30bf\u304c\u5f93\u3063\u3066\u3044\u308b\u3068\u3059\u308b\u5341\u5206\u6761\u4ef6\u3067\u306f\u306a\u3044\u3053\u3068\u306b\u6ce8\u610f\u3059\u3079\u304d\u3060\u3002\u4e8b\u5b9f\u3001\u3053\u3046\u3057\u305fsignature\u3092\u793a\u3059\u3075\u308b\u307e\u3044\u3092\u6a21\u5023\u3059\u308b\u30c7\u30fc\u30bf\u306e\u6709\u9650\u306a\u91cf\u3092\u751f\u6210\u3059\u308b\u65b9\u6cd5\u306f\u6570\u591a\u304f\u5b58\u5728\u3059\u308b\u3002\u672c\u5f53\u306e\u51aa\u4e57\u5247\u3067\u306f\u306a\u3044\u3001\u5358\u306a\u308b\u6a21\u5023\u306e\u30c7\u30fc\u30bf\u3067\u306f\u6f38\u8fd1\u7684\u306a\u9650\u754c\u304c\u3042\u308b\u3002\u3053\u3046\u3057\u3066\u3001\u51aa\u4e57\u5247\u30e2\u30c7\u30eb\u3092\u6b63\u78ba\u306b\u30d5\u30a3\u30c3\u30c6\u30a3\u30f3\u30b0\u3057\u3001\u6b63\u5f53\u6027\u3092\u7acb\u8a3c\u3059\u308b\u3053\u3068\u306f\u3001\u7d71\u8a08\u5b66\u7684\u306a\u7814\u7a76\u306e\u6d3b\u767a\u306a\u9818\u57df\u3068\u306a\u308b\u3002\u95a2\u9023\u9805\u76ee[\u7de8\u96c6]\u5916\u90e8\u30ea\u30f3\u30af[\u7de8\u96c6] 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