[{"@context":"http:\/\/schema.org\/","@type":"BlogPosting","@id":"https:\/\/wiki.edu.vn\/all2jp\/wiki47\/archives\/2671#BlogPosting","mainEntityOfPage":"https:\/\/wiki.edu.vn\/all2jp\/wiki47\/archives\/2671","headline":"Min-Max Algorithm-Wikipedia\u3001\u7121\u6599\u767e\u79d1\u4e8b\u5178","name":"Min-Max Algorithm-Wikipedia\u3001\u7121\u6599\u767e\u79d1\u4e8b\u5178","description":"before-content-x4 Minimax \uff08\u6642\u3005 minmax \uff09 – \u53ef\u80fd\u306a\u6700\u5927\u306e\u640d\u5931\u3092\u6700\u5c0f\u5316\u3059\u308b\u65b9\u6cd5\u3002\u3042\u308b\u3044\u306f\u3001\u6700\u5c0f\u5229\u76ca\u306e\u6700\u5927\u5316\u3068\u3057\u3066\u6271\u3046\u3053\u3068\u304c\u3067\u304d\u307e\u3059\uff08 \u30de\u30ad\u30b7\u30df\u30f3 \uff09\u3002\u3053\u308c\u306f\u3001\u4e21\u65b9\u306e\u30b1\u30fc\u30b9\u3092\u542b\u3080\u30bc\u30ed\u306e\u30b2\u30fc\u30e0\u306e\u7406\u8ad6\u304b\u3089\u6d3e\u751f\u3057\u3066\u3044\u307e\u3059\u3002\u3069\u3061\u3089\u306e\u30b1\u30fc\u30b9\u3067\u3082\u3001\u30d7\u30ec\u30a4\u30e4\u30fc\u304c\u4ea4\u4e92\u306b\u52d5\u304d\u3092\u3059\u308b\u3060\u3051\u3067\u306a\u304f\u3001\u540c\u6642\u306b\u52d5\u304d\u3092\u3059\u308b\u3082\u306e\u3082\u3042\u308a\u307e\u3059\u3002\u3053\u308c\u306f\u3001\u4e0d\u78ba\u5b9f\u6027\u306e\u5b58\u5728\u4e0b\u3067\u3001\u3088\u308a\u8907\u96d1\u306a\u30b2\u30fc\u30e0\u3068\u4e00\u822c\u7684\u306a\u610f\u601d\u6c7a\u5b9a\u306b\u3082\u62e1\u5f35\u3055\u308c\u307e\u3057\u305f\u3002 after-content-x4 \u30df\u30cb\u30de\u30c3\u30af\u30b9\u7406\u8ad6\uff1a 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\u30d7\u30ec\u30fc\u30e4\u30fc\u306e\u9069\u5207\u306a\u6226\u75651.\u30d7\u30ec\u30fc\u30e4\u30fc\u306e\u6226\u7565\u306b\u95a2\u4fc2\u306a\u304f\u3001\u5f7c\u304c\u8fd4\u6e08v\u3092\u4fdd\u8a3c\u3057\u307e\u3059\u3002\u5404\u30d7\u30ec\u30fc\u30e4\u30fc\u304c2\u756a\u76ee\u306e\u30d7\u30ec\u30fc\u30e4\u30fc\u306e\u6700\u5927\u8fd4\u6e08\u3092\u6700\u5c0f\u9650\u306b\u6291\u3048\u308b\u305f\u3081\u306b\u3001Minimax\u3068\u3044\u3046\u540d\u524d\u304c\u8868\u793a\u3055\u308c\u307e\u3057\u305f\u3002\u30b2\u30fc\u30e0\u306f\u30bc\u30ed\u306e\u30b2\u30fc\u30e0\u3067\u3042\u308b\u305f\u3081\u3001\u6700\u5c0f\u8fd4\u6e08\u3082\u6700\u5927\u5316\u3057\u307e\u3059\u3002 \u3053\u306e\u4e3b\u5f35\u306f20\u4e16\u7d00\u306b\u30b8\u30e7\u30f3\u30fb\u30d5\u30a9\u30f3\u30fb\u30ce\u30a4\u30de\u30f3\u306b\u3088\u3063\u3066\u8a2d\u7acb\u3055\u308c\u307e\u3057\u305f [\u521d\u3081] \u300c\u79c1\u306f\u3053\u308c\u307e\u3067\u306b\u898b\u3048\u308b\u3001\u30b2\u30fc\u30e0\u306e\u7406\u8ad6\u306f\u3042\u308a\u5f97\u306a\u3044…\u3053\u306e\u7406\u8ad6\u304c\u306a\u3051\u308c\u3070\u3001\u51fa\u7248\u3059\u308b\u4fa1\u5024\u306f\u306a\u3044\u3068\u601d\u3063\u305f\u3002 \u30df\u30cb\u30de\u30c3\u30af\u30b9\u7406\u8ad6 \u8a3c\u660e\u3055\u308c\u305f\u300d [2] \u3002","datePublished":"2022-11-16","dateModified":"2022-11-16","author":{"@type":"Person","@id":"https:\/\/wiki.edu.vn\/all2jp\/wiki47\/archives\/author\/lordneo#Person","name":"lordneo","url":"https:\/\/wiki.edu.vn\/all2jp\/wiki47\/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\/ff699246283cf15b98c596a2cc6cc2e42cc4227d","url":"https:\/\/wikimedia.org\/api\/rest_v1\/media\/math\/render\/svg\/ff699246283cf15b98c596a2cc6cc2e42cc4227d","height":"","width":""},"url":"https:\/\/wiki.edu.vn\/all2jp\/wiki47\/archives\/2671","wordCount":1264,"articleBody":"     (adsbygoogle = window.adsbygoogle || []).push({});before-content-x4Minimax \uff08\u6642\u3005 minmax \uff09 – \u53ef\u80fd\u306a\u6700\u5927\u306e\u640d\u5931\u3092\u6700\u5c0f\u5316\u3059\u308b\u65b9\u6cd5\u3002\u3042\u308b\u3044\u306f\u3001\u6700\u5c0f\u5229\u76ca\u306e\u6700\u5927\u5316\u3068\u3057\u3066\u6271\u3046\u3053\u3068\u304c\u3067\u304d\u307e\u3059\uff08 \u30de\u30ad\u30b7\u30df\u30f3 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d \uff08Minmax\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u3092\u4f7f\u7528\u3057\u3066\u975e\u5e38\u306b\u591a\u304f\u306e\u52d5\u304d\u3092\u30b7\u30df\u30e5\u30ec\u30fc\u30c8\u3057\u307e\u3059\uff09\u3001\u79c1\u305f\u3061\u306f\u6301\u3063\u3066\u3044\u307e\u3059 b d{displaystyle b^{d}} \u6a5f\u80fd\u3092\u4f7f\u7528\u3057\u3066\u30b2\u30fc\u30e0\u306e\u5024\u3092\u8a08\u7b97\u3059\u308b\u72b6\u614b\u3092\u7d42\u4e86\u3057\u307e\u3059 s \u3002\u79c1\u305f\u3061\u306f\u6700\u7d42\u72b6\u614b\u304b\u3089\u95b2\u89a7\u3092\u958b\u59cb\u3057\u3001\u4e21\u65b9\u306e\u30d7\u30ec\u30a4\u30e4\u30fc\u306e\u6700\u9069\u306a\u9078\u629e\u3092\u30b7\u30df\u30e5\u30ec\u30fc\u30c8\u3057\u3066\u3001\u6df1\u3055\u3067 d \uff08\u6728\u306e\u8449\u306b\uff09\u305d\u308c\u3089\u306b\u6700\u9069\u306a\u6570\u304c\u3042\u308a\u307e\u3057\u305f s \uff08\u5b8c\u4e86\u5f8c\u306e\u30b2\u30fc\u30e0\u306e\u72b6\u614b d \u52d5\u304d\uff09\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u30d7\u30ec\u30fc\u30e4\u30fc\u306f\u5e38\u306b\u6700\u7d42\u7684\u306a\u4fa1\u5024\u304c\u5c11\u306a\u304f\u3001\u30d7\u30ec\u30fc\u30e4\u30fc\u304c\u6700\u5927\u306b\u3064\u306a\u304c\u308b\u52d5\u304d\u3092\u9078\u629e\u3057\u307e\u3059\u3002\u3053\u306e\u30b7\u30df\u30e5\u30ec\u30fc\u30b7\u30e7\u30f3\u306e\u5f8c\u3001\u30c4\u30ea\u30fc\u306e\u6839\u672c\uff08\u73fe\u5728\u306e\u30d1\u30d5\u30a9\u30fc\u30de\u30f3\u30b9\u306e\u52d5\u304d\uff09\u306b\u3042\u308b\u30d7\u30ec\u30fc\u30e4\u30fc\u306f\u3001\u30b7\u30df\u30e5\u30ec\u30fc\u30b7\u30e7\u30f3\u304b\u3089\u6df1\u3055\u307e\u3067\u306e\u30b7\u30df\u30e5\u30ec\u30fc\u30b7\u30e7\u30f3\u304b\u3089\u30b2\u30fc\u30e0\u306e\u72b6\u614b\u306b\u95a2\u3059\u308b\u60c5\u5831\u306e\u30b3\u30f3\u30c6\u30ad\u30b9\u30c8\u3067\u5f7c\u306e\u52d5\u304d\u304c\u6700\u9069\u3067\u3042\u308b\u3053\u3068\u3092\u78ba\u4fe1\u3057\u3066\u3044\u307e\u3059 d \uff08\u3064\u307e\u308a\u3001\u6700\u5c0f\u5229\u76ca\u3092\u6700\u5927\u5316\u3057\u307e\u3059\uff09\u3002 \u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u306f\u3001\u7279\u5b9a\u306e\u77ac\u9593\u306b\u6700\u9069\u306a\u52d5\u304d\u3092\u9078\u629e\u3059\u308b\u305f\u3081\u306b\u4f7f\u7528\u3055\u308c\u308b\u305f\u3081\u3001\u76f8\u624b\u306e\u52d5\u304d\u306e\u5f8c\u3001\u518d\u3073\u30b7\u30df\u30e5\u30ec\u30fc\u30c8\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u3088\u308a\u6df1\u3044\u6df1\u3055 d \u30b7\u30df\u30e5\u30ec\u30fc\u30b7\u30e7\u30f3\u306f\u3088\u308a\u826f\u3044\u52d5\u304d\u306b\u3064\u306a\u304c\u308a\u307e\u3059\u3002\u30a2\u30eb\u30d5\u30a1\u30d9\u30fc\u30bf\u30ab\u30c3\u30c8\u30aa\u30d5\u3092\u4f7f\u7528\u3057\u305f\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u306e\u6700\u9069\u5316\u306b\u3088\u308a\u3001\u6700\u9069\u306a\u5834\u5408\u3001\u8003\u616e\u3055\u308c\u308b\u6761\u4ef6\u306e\u91cf\u3092\u6e1b\u3089\u3059\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u301c 2 b d\/2\u3001 {displaystyle 2b^{d\/2}\u3001} \u305d\u306e\u7d50\u679c\u3001\u52d5\u304d\u3092\u307b\u307c2\u56de\u30b7\u30df\u30e5\u30ec\u30fc\u30c8\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002        (adsbygoogle = window.adsbygoogle || []).push({});after-content-x4\u6700\u9069\u306a\u30df\u30cb\u30de\u30c3\u30af\u30b9\u306e\u7d50\u679c\u3092\u9054\u6210\u3059\u308b\u306b\u306f\u3001\u512a\u308c\u305f\u95a2\u6570\u8a55\u4fa1\u6a5f\u80fd\u3092\u6301\u3064\u3053\u3068\u304c\u91cd\u8981\u3067\u3059 s \u3002\u6700\u9069\u306a\u95a2\u6570 s \u3053\u306e\u5834\u5408\u3001\u30b2\u30fc\u30e0\u306f\u89e3\u6c7a\u3055\u308c\u308b\u305f\u3081\uff08\u4f55\u5ea6\u3082\u4f55\u5ea6\u3082\u4f55\u5ea6\u3082\u6700\u9069\u306a\u6226\u7565\u3092\u77e5\u3063\u3066\u3044\u308b\u3067\u3057\u3087\u3046\uff09\u3001\u30b2\u30fc\u30e0\u306e\u30d1\u30e9\u30e1\u30fc\u30bf\u30fc\u304b\u3089\u7dda\u5f62\u591a\u9805\u5f0f\u3068\u3057\u3066\u8868\u73fe\u3055\u308c\u308b\u3055\u307e\u3056\u307e\u306a\u30d2\u30e5\u30fc\u30ea\u30b9\u30c6\u30a3\u30c3\u30af\u304c\u4f7f\u7528\u3055\u308c\u308b\u7406\u7531\u3067\u3059\u3002 \u6c7a\u5b9a\u306e\u7d71\u8a08\u7406\u8ad6\u306e\u57fa\u6e96\u306e\u30df\u30cb\u30de\u30c3\u30af\u30b9 [ \u7de8\u96c6 | \u30b3\u30fc\u30c9\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u6c7a\u5b9a\u63a8\u5b9a\u5668\u306e\u53e4\u5178\u7684\u306a\u7d71\u8a08\u7406\u8ad6\u3067 d {displaystyledelta} \u30d1\u30e9\u30e1\u30fc\u30bf\u30fc\u3092\u63a8\u5b9a\u3059\u308b\u305f\u3081\u306b\u4f7f\u7528\u3055\u308c\u307e\u3059 th \u2208 th \u3002 {displaystyle theta in theta\u3002} \u30ea\u30b9\u30af\u95a2\u6570\u3082\u60f3\u5b9a\u3055\u308c\u3066\u3044\u307e\u3059 r \uff08 th \u3001 d \uff09\uff09 \u3001 {displaystyle r\uff08theta\u3001delta\uff09\u3001} \u901a\u5e38\u3001\u6a5f\u80fd\u306e\u55aa\u5931\u3068\u7a4d\u5206\u3068\u3057\u3066\u5b9a\u7fa9\u3055\u308c\u307e\u3059\u3002\u3053\u306e\u6587\u8108\u3067 \u03b4~{displaystyle {tilde {delta}}} \u5f7c\u5973\u306f\u540d\u524d\u304c\u4ed8\u3051\u3089\u308c\u3066\u3044\u307e\u3059 Minimax \u3001\u305d\u308c\u304c\u4f1a\u3046\u306a\u3089 sup\u03b8r \uff08 th \u3001 \u03b4~\uff09\uff09 = inf\u03b4sup\u03b8r \uff08 th \u3001 d \uff09\uff09 \u3002 {displaystyle sup _ {theta} r\uff08theta\u3001{tilde {delta}}\uff09= inf _ {delta} sup _ {theta} r\uff08theta\u3001delta\uff09\u3002}} \u30d5\u30ec\u30fc\u30e0\u30ef\u30fc\u30af\u306e\u6c7a\u5b9a\u306b\u304a\u3051\u308b\u4ee3\u66ff\u57fa\u6e96\u306f\u3001\u4ee5\u524d\u306e\u5206\u5e03\u306e\u5b58\u5728\u4e0b\u3067\u306e\u30d9\u30a4\u30ba\u306e\u63a8\u5b9a\u5668\u3067\u3059 pi \u3002 {displaystyle pi\u3002} \u63a8\u5b9a\u5668\u306f\u3001\u6700\u5c0f\u5316\u3059\u308b\u3068\u30d9\u30a4\u30b8\u30a2\u30f3\u3067\u3059 \u4e2d\u304f\u3089\u3044 \u5371\u967a \u222b\u0398r \uff08 th \u3001 d \uff09\uff09 d pi \uff08 th \uff09\uff09 \u3002 {displaystyle int _ {theta} r\uff08theta\u3001delta\uff09\u3001dpi\uff08theta\uff09\u3002}       (adsbygoogle = window.adsbygoogle || 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