[{"@context":"http:\/\/schema.org\/","@type":"BlogPosting","@id":"https:\/\/wiki.edu.vn\/all2jp\/wiki11\/archives\/14774#BlogPosting","mainEntityOfPage":"https:\/\/wiki.edu.vn\/all2jp\/wiki11\/archives\/14774","headline":"Kuss\u756a\u53f7-Wikipedia","name":"Kuss\u756a\u53f7-Wikipedia","description":"before-content-x4 \u30b8\u30aa\u30e1\u30c8\u30ea\u3067 n {displaystyle n} after-content-x4 -the \u30ad\u30b9 \uff08\u307e\u305f \u9023\u7d61\u5148\u756a\u53f7 \uff09\u306e\u6700\u5927\u6570 n {displaystyle n} &#8211; \u6b21\u5143\u30e6\u30cb\u30c3\u30c8\u30dc\u30fc\u30eb\uff08\u534a\u5f841\u306e\u30dc\u30fc\u30eb\uff09\u3002\u540c\u6642\u306b\u3001\u91cd\u8907\u3059\u308b\u3053\u3068\u306a\u304f\u30e6\u30fc\u30af\u30ea\u30c3\u30c9\u30b9\u30da\u30fc\u30b9\u306e\u5225\u306e\u305d\u306e\u3088\u3046\u306a\u30e6\u30cb\u30c3\u30c8\u30dc\u30fc\u30eb\u306b\u89e6\u308c\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u304b\u3089 \u30b2\u30fc\u30c8\u30ad\u30b9 \u30dc\u30fc\u30eb\u306e\u4e2d\u5fc3\u304c\u30b0\u30ea\u30c3\u30c9\u306b\u914d\u7f6e\u3055\u308c\u3066\u3044\u308b\u3068\u304d\u306b\u8a71\u3059\u5834\u5408\u3002\u3068\u3057\u3066 \u30ad\u30b9\u756a\u53f7\u306e\u554f\u984c \u30ad\u30b9\u306e\u6570\u3092\u8a08\u7b97\u3059\u308b\u305f\u3081\u306e\u4e00\u822c\u7684\u306a\u516c\u5f0f\u306e\u6b20\u5982\u306f\u77e5\u3089\u308c\u3066\u3044\u307e\u3059\u3002","datePublished":"2021-12-03","dateModified":"2021-12-03","author":{"@type":"Person","@id":"https:\/\/wiki.edu.vn\/all2jp\/wiki11\/archives\/author\/lordneo#Person","name":"lordneo","url":"https:\/\/wiki.edu.vn\/all2jp\/wiki11\/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\/a601995d55609f2d9f5e233e36fbe9ea26011b3b","url":"https:\/\/wikimedia.org\/api\/rest_v1\/media\/math\/render\/svg\/a601995d55609f2d9f5e233e36fbe9ea26011b3b","height":"","width":""},"url":"https:\/\/wiki.edu.vn\/all2jp\/wiki11\/archives\/14774","wordCount":6444,"articleBody":"     (adsbygoogle = window.adsbygoogle || []).push({});before-content-x4\u30b8\u30aa\u30e1\u30c8\u30ea\u3067 n {displaystyle n}        (adsbygoogle = window.adsbygoogle || []).push({});after-content-x4-the \u30ad\u30b9 \uff08\u307e\u305f \u9023\u7d61\u5148\u756a\u53f7 \uff09\u306e\u6700\u5927\u6570 n {displaystyle n}  &#8211; \u6b21\u5143\u30e6\u30cb\u30c3\u30c8\u30dc\u30fc\u30eb\uff08\u534a\u5f841\u306e\u30dc\u30fc\u30eb\uff09\u3002\u540c\u6642\u306b\u3001\u91cd\u8907\u3059\u308b\u3053\u3068\u306a\u304f\u30e6\u30fc\u30af\u30ea\u30c3\u30c9\u30b9\u30da\u30fc\u30b9\u306e\u5225\u306e\u305d\u306e\u3088\u3046\u306a\u30e6\u30cb\u30c3\u30c8\u30dc\u30fc\u30eb\u306b\u89e6\u308c\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u304b\u3089 \u30b2\u30fc\u30c8\u30ad\u30b9 \u30dc\u30fc\u30eb\u306e\u4e2d\u5fc3\u304c\u30b0\u30ea\u30c3\u30c9\u306b\u914d\u7f6e\u3055\u308c\u3066\u3044\u308b\u3068\u304d\u306b\u8a71\u3059\u5834\u5408\u3002\u3068\u3057\u3066 \u30ad\u30b9\u756a\u53f7\u306e\u554f\u984c \u30ad\u30b9\u306e\u6570\u3092\u8a08\u7b97\u3059\u308b\u305f\u3081\u306e\u4e00\u822c\u7684\u306a\u516c\u5f0f\u306e\u6b20\u5982\u306f\u77e5\u3089\u308c\u3066\u3044\u307e\u3059\u3002         (adsbygoogle = window.adsbygoogle || []).push({});after-content-x4\u30ad\u30b9\u306e\u6700\u521d\u306e\u6570\u306f2\u3067\u3059\u3002  \u30ad\u30b9\u306e2\u756a\u76ee\u306e\u6570\u306f6\u3067\u3059\u3002 n = 1\uff1a \u6b21\u5143\u306b\u306f\u305d\u308c\u304c\u3042\u308a\u307e\u3059 \u30b9\u30af\u30fc\u30d7 \u30dc\u30fc\u30eb\u306f\u3042\u308a\u307e\u305b\u3093\u304c\u3001\u305d\u306e\u30a8\u30f3\u30c9\u30dd\u30a4\u30f3\u30c8\u306f\u3001\u539f\u70b9\u304b\u3089\u8ddd\u96e21\u3092\u6301\u3064\u30a8\u30f3\u30c9\u30dd\u30a4\u30f3\u30c8\u304c\u3042\u308a\u307e\u3059\u3002\u3053\u3053\u3067\u306f\u3001\u3055\u3089\u306b\u30eb\u30fc\u30c8\u3092\u4e21\u65b9\u306e\u30a8\u30f3\u30c9\u30dd\u30a4\u30f3\u30c8\u306b\u8ffd\u52a0\u3067\u304d\u308b\u305f\u3081\u3001\u6b21\u5143\u306eKISS\u306e\u6570\u306f\u660e\u3089\u304b\u306b2\u306b\u306a\u308a\u307e\u3059\u3002 n = 2\uff1a 2\u756a\u76ee\u306e\u6b21\u5143\u306b\u306f\u305d\u308c\u304c\u3042\u308a\u307e\u3059 \u30b9\u30af\u30fc\u30d7 \u30dc\u30fc\u30eb\u3067\u306f\u306a\u304f\u3001\u534a\u5f841\u306e\u5186\u3067\u3059\u3002\u660e\u3089\u304b\u306b\u3001\u3067\u304d\u308b\u3060\u3051\u591a\u304f\u306e\u30b3\u30a4\u30f3\u3092\u914d\u7f6e\u3059\u308b\u30bf\u30b9\u30af\u306e\u3053\u306e\u6b21\u5143\u306e\u30ad\u30b9\u306e\u6570\u3092\u6c7a\u5b9a\u3059\u308b\u554f\u984c\u306b\u660e\u3089\u304b\u306b\u5bfe\u5fdc\u3057\u3066\u3001\u305d\u308c\u3089\u304c\u3059\u3079\u3066\u540c\u3058\u4e2d\u592e\u30b3\u30a4\u30f3\u306b\u89e6\u308c\u308b\u3088\u3046\u306b\u3057\u307e\u3059\u3002 2\u756a\u76ee\u306e\u6b21\u5143\u306e\u30ad\u30b9\u306e\u6570\u304c6\u3067\u3042\u308b\u3053\u3068\u3092\u898b\u308b\u306e\u306f\u7c21\u5358\u3067\u3059\uff08\u305d\u3057\u3066\u8a3c\u660e\u3059\u308b\uff09\u3002 n = 3\uff1a 3\u756a\u76ee\u306e\u6b21\u5143\u3067\u306f\u3001\u30ad\u30b9\u306e\u6570\u3092\u6c7a\u5b9a\u3059\u308b\u306e\u306f\u305d\u308c\u307b\u3069\u7c21\u5358\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u3002\u53f3\u5074\u306e\u30b0\u30e9\u30d5\u30a3\u30c3\u30af\u3092\u53c2\u7167\u3057\u3066\u304f\u3060\u3055\u3044\u3002 12\u500b\u306e\u30dc\u30fc\u30eb\u3092\u30a2\u30ec\u30f3\u30b8\u3057\u3066\u3001\u4e2d\u592e\u306e\u30dc\u30fc\u30eb\u306b\u89e6\u308c\u308b\u3088\u3046\u306b\u7c21\u5358\u306b\u914d\u7f6e\u3067\u304d\u307e\u3059\uff08\u305f\u3068\u3048\u3070\u3001\u305d\u306e\u4e2d\u5fc3\u304c\u30ad\u30e5\u30fc\u30dc\u30af\u30bf\u30fc\u30c0\u30fc\u306e\u89d2\u3092\u5f62\u6210\u3059\u308b\u3088\u3046\u306b\uff09\u3002\u3057\u304b\u3057\u3001\u3042\u306a\u305f\u306f\u307e\u3060\u30dc\u30fc\u30eb\u306e\u9593\u306b\u591a\u304f\u306e\u7a7a\u306e\u30b9\u30da\u30fc\u30b9\u3092\u898b\u308b\u3053\u3068\u304c\u3067\u304d\u300113\u756a\u306e\u30dc\u30fc\u30eb\u3092\u8ffd\u52a0\u3067\u304d\u308b\u304b\u3069\u3046\u304b\u7591\u554f\u306b\u601d\u3046\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u3053\u306e\u554f\u984c\u306f\u30011692\u5e74\u306b\u30b1\u30d7\u30e9\u30fc\u30ba\u306e\u63a8\u5b9a\u306b\u3064\u306a\u304c\u3063\u305f\u3001\u30a2\u30a4\u30b6\u30c3\u30af\u30fb\u30cb\u30e5\u30fc\u30c8\u30f3\u3068\u6570\u5b66\u8005\u306e\u30c7\u30a4\u30d3\u30c3\u30c9\u30fb\u30b0\u30ec\u30b4\u30ea\u30fc\u3068\u306e\u9593\u306e\u6709\u540d\u306a\u7d1b\u4e89\u306e\u5bfe\u8c61\u3067\u3057\u305f\u3002\u30cb\u30e5\u30fc\u30c8\u30f3\u306f\u3001\u6700\u5927\u5024\u304c12\u3067\u3042\u308b\u3068\u4e3b\u5f35\u3057\u305f\u3001\u3068\u30b0\u30ec\u30b4\u30ea\u30fc\u306f\u305d\u308c\u304c13\u6b73\u3060\u3068\u8a00\u3063\u305f\u3002\u6700\u521d\u306e\u51fa\u7248\u7269\u306f19\u4e16\u7d00\u306b\u767b\u5834\u3057\u307e\u3057\u305f\u3001 [\u521d\u3081] [2] [3] \u30cb\u30e5\u30fc\u30c8\u30f3\u306e\u4e3b\u5f35\u306e\u8a3c\u62e0\u3092\u5c01\u3058\u8fbc\u3081\u305f\u3068\u4e3b\u5f35\u3057\u305f\u3002\u4eca\u65e5\u306e\u57fa\u6e96\u306b\u3088\u308c\u3070\u3001\u6b63\u5f0f\u306a\u8a3c\u62e0\u306f [4] \u30b8\u30e7\u30f3\u30fb\u30ea\u30fc\u30c1\u306b\u3088\u308b1956\u5e74 [5] \u63d0\u4f9b\u3055\u308c\u305f\u3002        (adsbygoogle = window.adsbygoogle || []).push({});after-content-x4n = 4\uff1a \u7b2c4\u6b21\u514324\u306e\u30ad\u30b9\u756a\u53f7\u304c\u8a3c\u660e\u3055\u308c\u305f\u306e\u306f\u300121\u4e16\u7d00\u306e\u521d\u3081\u306b\u306e\u307f\u3067\u3057\u305f\u3002 [6] n> 4\uff1a \u3055\u3089\u306b\u3001\u5bf8\u6cd5n = 8\uff08240\uff09\u304a\u3088\u3073n = 24\uff08196,560\uff09\u306e\u30ad\u30b9\u306e\u6570\u304c\u77e5\u3089\u308c\u3066\u3044\u307e\u3059\u3002 24\u6b21\u5143\u7a7a\u9593\u3067\u306f\u3001\u30dc\u30fc\u30eb\u304c\u30ea\u30fc\u30c1\u30b0\u30ea\u30c3\u30c9\u306e\u30dd\u30a4\u30f3\u30c8\u306b\u914d\u7f6e\u3055\u308c\u3066\u3044\u308b\u305f\u3081\u3001\u30b9\u30da\u30fc\u30b9\u304c\u6b8b\u3063\u3066\u3044\u307e\u305b\u3093\u30021979\u5e74\u306e\u5bf8\u6cd58\u306824\u306e\u6b63\u78ba\u306a\u30ad\u30b9\u6570\u306f\u3001Andrew M. Odlyzko\u3068Neil J. A. Sloane\u306b\u3088\u3063\u3066\u4e92\u3044\u306b\u72ec\u7acb\u3057\u3066\u3044\u307e\u3057\u305f [7] \u307e\u305f\u306f\u30a6\u30e9\u30b8\u30df\u30fc\u30eb\u30fb\u30ec\u30f4\u30a7\u30f3\u30b7\u30e5\u30c6\u30a4\u30f3 [8] \u6c7a\u5b9a\u3002 \u6b21\u306e\u8868\u306f\u3001\u30c7\u30a3\u30e1\u30f3\u30b7\u30e7\u30f324\u307e\u3067\u306e\u30ad\u30b9\u306e\u6570\u306e\u65e2\u77e5\u306e\u5883\u754c\u7dda\u3092\u518d\u73fe\u3057\u307e\u3059\u3002 [9]  \u30ad\u30b9\u306e3\u756a\u76ee\u306e\u6570\u306f12\u3067\u3059\u3002 \u4e2d\u592e\u306e\u30dc\u30fc\u30eb\uff08\u8d64\uff09\u306f\u51fa\u8eab\u3067\u3059 \u540c\u3058\u30ec\u30d9\u30eb\u306e6\u3064\u306e\u30dc\u30fc\u30eb\uff08\u7dd1\uff09\u3001 \u305d\u306e\u4e0a\u306b3\u3064\u306e\u30dc\u30fc\u30eb\uff08\u9ec4\u8272\uff09\u3068 3\u3064\u306e\u30dc\u30fc\u30eb\uff08\u9752\u300160\u00b0\u304c\u9ec4\u8272\u306b\u306d\u3058\u308c\u3066\u3044\u307e\u3059\uff09\u304c\u4e0b\u306b\u89e6\u308c\u307e\u3057\u305f\u3002  \u30ad\u30b9\u6570\u306e\u6307\u6570\u95a2\u6570\u7684\u306a\u6210\u9577\u3002\u5bf8\u6cd51\u301c24\u3002\u7070\u8272\u306e\u8868\u9762\u306f\u3001\u4e0a\u4e0b\u306e\u5883\u754c\u306b\u3088\u3063\u3066\u5236\u9650\u3055\u308c\u307e\u3059\uff08\u8868\u3092\u53c2\u7167\uff09\u3002 \u5bf8\u6cd5\u306e\u30ad\u30b9\u756a\u53f71\u202624 [\u5341] \u4e8c\u91cf\u4f53 &#8211;  sion \u30ad\u30b9  \u4e8c\u91cf\u4f53 &#8211;  sion \u30ad\u30b9 \u4f4e\u3044 \u56fd\u5883 \u5c11\u3057 \u56fd\u5883 \u4f4e\u3044 \u56fd\u5883 \u5c11\u3057 \u56fd\u5883 \u521d\u3081 2 13 1154 [11] 2069 2 6 14 1606 [11] 3183 3 12\u756a\u76ee 15 2564 4866 4 24 16 4320 7355 5 40 44 17 5346 11.072 6 72 78 18 7398 16.572 7 126 134 19 10.688 24,812 8 240 20 17,400 36,764 9 306 364 21 27,720 54.584 \u5341 500 554 22 49.896 82,340 11 582 870 23 93.150 124,416 12\u756a\u76ee 840 1.357 24 196,560 \u63a8\u5b9a\u306b\u3088\u308b\u3068\u3001\u30ad\u30b9\u6570\u306e\u6210\u9577\u304c\u6307\u6570\u95a2\u6570\u7684\u3067\u3042\u308b\u3053\u3068\u304c\u793a\u3055\u308c\u3066\u3044\u307e\u3059\u3002\u30c6\u30fc\u30d6\u30eb\u306e\u6a2a\u306b\u3042\u308b\u30b0\u30e9\u30d5\u30a3\u30c3\u30af\u3092\u53c2\u7167\u3057\u3066\u304f\u3060\u3055\u3044\u3002\u6307\u6570\u95a2\u6570\u7684\u306a\u6210\u9577\u306e\u57fa\u790e\u306f\u4e0d\u660e\u3067\u3059\u3002 \u3055\u3089\u306b\u9ad8\u6b21\u5143\u3067\u306e\u30ad\u30b9\u306e\u6570\u306b\u3064\u3044\u3066\u306f\u307b\u3068\u3093\u3069\u77e5\u3089\u308c\u3066\u3044\u306a\u3044\u3002\u3088\u308a\u4f4e\u3044\u969c\u58c1\u306f\u3001\u5bf8\u6cd5n = 32\uff08276.032\uff09\u3001n = 36\uff08438.872\uff09\u3001n = 40\uff08991.792\uff09\u3001n = 44\uff082nd948.552\uff09\u3001n = 64\uff08331.737.984\uff09\u304a\u3088\u3073n = 80\uff081,368.532.064\uff09\u3067\u77e5\u3089\u308c\u3066\u3044\u307e\u3059\u3002 [12\u756a\u76ee] \u6b63\u78ba\u306a\u683c\u5b50\u6570\u306f\u3001\u5bf8\u6cd51\u301c9\u304a\u3088\u307324\u3067\u77e5\u3089\u308c\u3066\u3044\u307e\u3059\u3002 [13] [14] \u6b21\u306e\u8868\u306f\u3001\u30b0\u30ea\u30c3\u30c9\u306e\u6570\u307e\u305f\u306f\u65e2\u77e5\u306e\u4e0b\u90e8\u306e\u5883\u754c\u7dda\u3092\u5bf8\u6cd5\u307e\u3067\u518d\u73fe\u3057\u307e\u305924\uff1a \u5bf8\u6cd5\u306e\u30b2\u30fc\u30c8\u30ad\u30b91..24 \u5bf8\u6cd5 \u30b0\u30ea\u30c3\u30c9  \u5bf8\u6cd5 \u30b0\u30ea\u30c3\u30c9 \u521d\u3081 2 13 \u2265918 2 6 14 \u22651422 3 12\u756a\u76ee 15 \u22652340 4 24 16 \u22654320 5 40 17 \u22655346 6 72 18 \u22657398 7 126 19 \u226510.668 8 240 20 \u226517,400 9 272 21 \u226527.720 \u5341 \u2265336 22 49.896\u4ee5\u4e0a 11 \u2265438 23 93.150\u4ee5\u4e0a 12\u756a\u76ee a \u2265756 24 b 196,560 \u5bf8\u6cd512\u306824\u306e\u683c\u5b50\u30d1\u30c3\u30af\u306b\u306f\u3001\u72ec\u81ea\u306e\u540d\u524d\u304c\u3042\u308a\u307e\u3059\u3002 \u30dc\u30fc\u30eb\u306e\u534a\u5f84\u306f\u30aa\u30f3\u3067\u3059 \u521d\u3081 \/ 2 {displaystyle1\/2} \u6a19\u6e96\u5316\u3055\u308c\u3001\u4e2d\u592e\u30dc\u30fc\u30eb\u306e\u4e2d\u5fc3\u306b\u3042\u308b\u5ea7\u6a19\u7cfb\u306e\u8d77\u6e90\u306f\u3001 n {displaystyle n}  \u30ad\u30b9 \u6b21\u306e\u4e0d\u5e73\u7b49\u306e\u30b7\u30b9\u30c6\u30e0\u304c\u6e80\u305f\u3055\u308c\u307e\u3059\u3002 \u2203 {displaystyle\u304c\u5b58\u5728\u3059\u308b}  \u30d0\u30c4 ({displaystyle x {big\uff08}} \u2200 {forall\u306edisplaystyle}  n \uff1a | | \u30d0\u30c4 n| | = \u521d\u3081 \u2227 \u2200 n \u2260 m \uff1a | | \u30d0\u30c4 n &#8211;  \u30d0\u30c4 m| | \u2265 \u521d\u3081 )MMS Supreme State\uff1aMeyyy Simate Yyk Yard for Yym\uff1a| \u8d70\u308b m {displaystyle m} \u3068 n {displaystyle n} \u304b\u3089 \u521d\u3081 {displaystyle1} \u305d\u308c\u307e\u3067 n {displaystyle n} \u3068 \u30d0\u30c4 = \uff08 \u30d0\u30c4 n \uff09\uff09 n \u2208 { \u521d\u3081 &#8230; N} {displaystyle x =\uff08x_ {n}\uff09_ {nin {1dots {n}}}}}}} \u30d9\u30af\u30c8\u30eb\u306e\u30b7\u30fc\u30b1\u30f3\u30b9\u3067\u3059 n {displaystyle n} \u30dc\u30fc\u30eb\u30b5\u30a4\u30f3\u30dd\u30a4\u30f3\u30c8\u3001 | | a | | {displaystyle || a ||} \u30d9\u30af\u30c8\u30eb\u306e\u6a19\u6e96\uff08\u9577\u3055\uff09\u3067\u3059 a {displaystyle a} \u3002 [17] \u5bfe\u79f0\u6027\u306e\u7406\u7531\u304b\u3089\u30012\u756a\u76ee\u306eAllquantor\u304c\u3059\u3079\u3066\u306e\u4eba\u306b\u3044\u308b\u5834\u5408\u3001\u305d\u308c\u306f\u5341\u5206\u3067\u3059 m {displaystyle m} \u3001 n {displaystyle n} \u3068 m < n {displaystyle m \u30b9\u30c8\u30ec\u30c3\u30c1\u3002 1\u3064 d {displaystyle d}  &#8211; \u6b21\u5143\u306e\u5b9f\u969b\u306e\u30d9\u30af\u30c8\u30eb\u7a7a\u9593 r d {displaystyle mathbb {r} ^{d}} \u3053\u308c\u306f\u3001\u6a19\u6e96\u306e\u6b63\u65b9\u5f62\u3078\u306e\u79fb\u884c\u5f8c\u3001\u30de\u30c8\u30ea\u30c3\u30af\u30b9\u8868\u8a18\u306b\u306a\u308a\u307e\u3059 \u2203 \u30d0\u30c4 (\u2200 n \uff1a xnT\u30d0\u30c4 n= \u521d\u3081 \u2227 \u2200 m < n \uff1a \uff08 \u30d0\u30c4 n &#8211;  \u30d0\u30c4 m\uff09\uff09 T\uff08 \u30d0\u30c4 n &#8211;  \u30d0\u30c4 m\uff09\uff09 \u2265 \u521d\u3081 ){displaystyle\u304c\u5b58\u5728\u3059\u308bx {big\uff08} forall n\uff1a{x_ {n}}^{t} x_ {n} = 1land forall m n=1N\uff08 xnT\u30d0\u30c4 n &#8211;  \u521d\u3081 \uff09\uff09 2+ \u2211 (m,n)\u2208N\u00d7Nm\u30d0\u30c4 m\uff09\uff09  &#8211;  \u521d\u3081  &#8211;  ymn2)2= 0 {displaystyle\u304c\u5b58\u5728\u3059\u308bx\u3001y\uff1asum _ {n = 1}^{n}\uff08{x_ {n}}^{t} x_ {n} -1\uff09^{2}+sum _ {begin {smallmatrix}\uff08m\u3001n\uff09in {n} {n} {n} \\ m m m \\ m \\ m \u3002 \u4e0a\u8a18\u306e\u30b7\u30b9\u30c6\u30e0\u306b\u306f\u5408\u8a08\u304c\u3042\u308a\u307e\u3059 d de n {displaystyle d\uff01cdot\uff01{n}} \u306e\u65b9\u7a0b\u5f0f n {displaystyle n} \u30d9\u30af\u30c8\u30eb \u30d0\u30c4 {displaystyle x} \u3001\u534a\u5206\u3082\u3042\u308a\u307e\u3059 [19] \u304b\u3089 n de \uff08 n  &#8211; 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Odlyzko\u3001Neil J. A. Sloane\uff1a n\u5bf8\u6cd5\u306e\u5358\u4f4d\u7403\u4f53\u306b\u89e6\u308c\u308b\u3053\u3068\u304c\u3067\u304d\u308b\u30e6\u30cb\u30c3\u30c8\u7403\u306e\u6570\u306e\u65b0\u3057\u3044\u5883\u754c\u3002 \u306e\uff1a J.\u30b3\u30f3\u30d3\u30f3\u3002\u4eee\u8aac\u3002 \u898b\u308b\u3002 A\u3001\u30d0\u30f3\u30c926\u30011979\u3001nr\u3002 2\u3001pp\u3002210\u2013214  \u2191  \u30a6\u30e9\u30b8\u30df\u30fc\u30ebI. levenshtein\uff1a n\u6b21\u5143\u30e6\u30fc\u30af\u30ea\u30c3\u30c9\u7a7a\u9593\u306e\u30d1\u30c3\u30b1\u30fc\u30b8\u306e\u5883\u754c\u306b\u3064\u3044\u3066 s nr\u3002 6\u3001dokl\u3002\u30a2\u30ab\u30c9\u3002 Nauk SSSR 245 1979\u3002S.1299\u20131303  \u2191  \u30cf\u30f3\u30b9\u30fbD\u30fb\u30df\u30c3\u30c6\u30eb\u30de\u30f3\u3001\u30d5\u30e9\u30f3\u30af\u30fb\u30f4\u30a1\u30ec\u30f3\u30c6\u30a3\u30f3\uff1a Kissing Numbers\u306e\u9ad8\u7cbe\u5ea6\u30bb\u30df\u30c7\u30d5\u30a3\u30ca\u30a4\u30c8\u30d7\u30ed\u30b0\u30e9\u30df\u30f3\u30b0\u5883\u754c \u3002 arxiv\uff1a 0902.1105  \u2191  \u7d50\u679c A001116 OEIS\u3067  \u2191 a b  https:\/\/www.wolframalpha.com\/input\/?i=kissingnumber Zinov&#8217;ev\u3068Ericson\u306e\u8a3c\u62e0  \u2191  Yves Edel\u3001E\u3002M\u3002Rains\u3001N\u3002J\u3002A. Sloane\uff1a \u5bf8\u6cd532\u304b\u3089128\u306e\u30ad\u30b9\u6570 \u3002\u306e\uff1a Combinatorics\u306e\u96fb\u5b50\u30b8\u30e3\u30fc\u30ca\u30eb\u3002 \u30d0\u30f3\u30c95\u30011998\u5e74\u306e\u91cd\u3055  \u2191  \u30b8\u30e7\u30f3\u30fb\u30db\u30fc\u30c8\u30f3\u30fb\u30b3\u30f3\u30a6\u30a7\u30a4\u3001\u30cb\u30fc\u30eb\u30fbJ\u30fbA\u30fb\u30b9\u30ed\u30fc\u30f3\uff1a \u30ad\u30b9\u756a\u53f7\u306e\u554f\u984c\u3002 \u3068 \u30ad\u30b9\u756a\u53f7\u306e\u5883\u754c\u3002 In\uff1aJohn Horton Conway\u3001Neil J. A. Sloane\uff1a \u7403\u4f53\u30d1\u30c3\u30ad\u30f3\u30b0\u3001\u683c\u5b50\u3001\u304a\u3088\u3073\u30b0\u30eb\u30fc\u30d7\u3002 \u7b2c2\u7248\u200b\u200b\u3002 Springer-Verlag\u3001\u30cb\u30e5\u30fc\u30e8\u30fc\u30af1993\u3002pp\u300221\u201324\u304a\u3088\u3073337\u2013339\u3001ISBN 0-387-98585-9\u3002  \u2191  \u30cb\u30fc\u30ebJ. 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