[{"@context":"http:\/\/schema.org\/","@type":"BlogPosting","@id":"https:\/\/wiki.edu.vn\/all2jp\/wiki47\/archives\/1966#BlogPosting","mainEntityOfPage":"https:\/\/wiki.edu.vn\/all2jp\/wiki47\/archives\/1966","headline":"\u78ba\u7387\u5bc6\u5ea6\u95a2\u6570-Wikipedia\u3001\u7121\u6599\u767e\u79d1\u4e8b\u5178","name":"\u78ba\u7387\u5bc6\u5ea6\u95a2\u6570-Wikipedia\u3001\u7121\u6599\u767e\u79d1\u4e8b\u5178","description":"before-content-x4 2013-01\u306e\u3053\u306e\u8a18\u4e8b\u3067\u306f\u3001\u63d0\u4f9b\u3055\u308c\u305f\u60c5\u5831\u306e\u691c\u8a3c\u304c\u5fc5\u8981\u3067\u3059\u3002 \u4fe1\u983c\u3067\u304d\u308b\u60c5\u5831\u6e90\u306f\u3001\u597d\u307e\u3057\u304f\u306f\u66f8\u8a8c\u7684\u306a\u811a\u6ce8\u306e\u5f62\u3067\u4e0e\u3048\u3089\u308c\u308b\u3079\u304d\u3067\u3059\u3002 \u8a18\u4e8b\u306e\u4e00\u90e8\u307e\u305f\u306f\u3059\u3079\u3066\u306e\u60c5\u5831\u3067\u3055\u3048\u3001\u771f\u5b9f\u3067\u306f\u306a\u3044\u5834\u5408\u304c\u3042\u308a\u307e\u3059\u3002\u30bd\u30fc\u30b9\u3092\u6b20\u3044\u3066\u3044\u308b\u3088\u3046\u306b\u3001\u305d\u308c\u3089\u306f\u6311\u6226\u3057\u3066\u524a\u9664\u3055\u308c\u308b\u53ef\u80fd\u6027\u304c\u3042\u308a\u307e\u3059\u3002 \u3053\u306e\u8a18\u4e8b\u306e\u8b70\u8ad6\u306b\u306f\u3001\u4f55\u3092\u4fee\u6b63\u3059\u3079\u304d\u304b\u306b\u3064\u3044\u3066\u306e\u3088\u308a\u8a73\u7d30\u306a\u60c5\u5831\u304c\u3042\u308a\u307e\u3059\u3002 \u6b20\u9665\u3092\u6392\u9664\u3057\u305f\u5f8c\u3001\u3053\u306e\u8a18\u4e8b\u304b\u3089\u30c6\u30f3\u30d7\u30ec\u30fc\u30c8{{refine}}\u3092\u524a\u9664\u3057\u307e\u3059\u3002 Gauss\u306e\u5206\u5e03\u3068\u3082\u547c\u3070\u308c\u308b\u6b63\u898f\u5206\u5e03 \u78ba\u7387\u5bc6\u5ea6\u95a2\u6570 \uff08 \u30e9\u30f3\u30c0\u30e0\u5909\u6570\u306e\u5bc6\u5ea6 \uff09 &#8211; \u9069\u5207\u306a\u5236\u9650\u5185\u3067\u8a08\u7b97\u3055\u308c\u305f\u3053\u306e\u95a2\u6570\u306e\u7a4d\u5206\u304c\u30e9\u30f3\u30c0\u30e0\u30a4\u30d9\u30f3\u30c8\u306e\u53ef\u80fd\u6027\u306b\u7b49\u3057\u304f\u306a\u308b\u3088\u3046\u306b\u3001\u78ba\u7387\u306e\u30b5\u30d6\u30bb\u30af\u30b7\u30e7\u30f3\u306e\u305f\u3081\u306b\u6c7a\u5b9a\u3055\u308c\u308b\u975e\u9670\u6027\u95a2\u6570\u3002\u5bc6\u5ea6\u95a2\u6570\u306f\u30011\u6b21\u5143\u304a\u3088\u3073\u591a\u6b21\u5143\u78ba\u7387\u5206\u5e03\u306b\u5bfe\u3057\u3066\u5b9a\u7fa9\u3055\u308c\u307e\u3059\u3002\u5bc6\u5ea6\u306e\u5206\u5e03\u304c\u547c\u3073\u51fa\u3055\u308c\u307e\u3059 \u7d99\u7d9a\u7684\u306a\u30b9\u30b1\u30b8\u30e5\u30fc\u30eb \u3002 after-content-x4 \u3055\u305b\u3066 after-content-x4 p {displaystyle","datePublished":"2022-05-20","dateModified":"2022-05-20","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:\/\/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\/all2jp\/wiki47\/archives\/1966","wordCount":6630,"articleBody":"     (adsbygoogle = window.adsbygoogle || []).push({});before-content-x42013-01\u306e\u3053\u306e\u8a18\u4e8b\u3067\u306f\u3001\u63d0\u4f9b\u3055\u308c\u305f\u60c5\u5831\u306e\u691c\u8a3c\u304c\u5fc5\u8981\u3067\u3059\u3002 \u4fe1\u983c\u3067\u304d\u308b\u60c5\u5831\u6e90\u306f\u3001\u597d\u307e\u3057\u304f\u306f\u66f8\u8a8c\u7684\u306a\u811a\u6ce8\u306e\u5f62\u3067\u4e0e\u3048\u3089\u308c\u308b\u3079\u304d\u3067\u3059\u3002 \u8a18\u4e8b\u306e\u4e00\u90e8\u307e\u305f\u306f\u3059\u3079\u3066\u306e\u60c5\u5831\u3067\u3055\u3048\u3001\u771f\u5b9f\u3067\u306f\u306a\u3044\u5834\u5408\u304c\u3042\u308a\u307e\u3059\u3002\u30bd\u30fc\u30b9\u3092\u6b20\u3044\u3066\u3044\u308b\u3088\u3046\u306b\u3001\u305d\u308c\u3089\u306f\u6311\u6226\u3057\u3066\u524a\u9664\u3055\u308c\u308b\u53ef\u80fd\u6027\u304c\u3042\u308a\u307e\u3059\u3002 \u3053\u306e\u8a18\u4e8b\u306e\u8b70\u8ad6\u306b\u306f\u3001\u4f55\u3092\u4fee\u6b63\u3059\u3079\u304d\u304b\u306b\u3064\u3044\u3066\u306e\u3088\u308a\u8a73\u7d30\u306a\u60c5\u5831\u304c\u3042\u308a\u307e\u3059\u3002 \u6b20\u9665\u3092\u6392\u9664\u3057\u305f\u5f8c\u3001\u3053\u306e\u8a18\u4e8b\u304b\u3089\u30c6\u30f3\u30d7\u30ec\u30fc\u30c8{{refine}}\u3092\u524a\u9664\u3057\u307e\u3059\u3002  Gauss\u306e\u5206\u5e03\u3068\u3082\u547c\u3070\u308c\u308b\u6b63\u898f\u5206\u5e03 \u78ba\u7387\u5bc6\u5ea6\u95a2\u6570 \uff08 \u30e9\u30f3\u30c0\u30e0\u5909\u6570\u306e\u5bc6\u5ea6 \uff09 &#8211; \u9069\u5207\u306a\u5236\u9650\u5185\u3067\u8a08\u7b97\u3055\u308c\u305f\u3053\u306e\u95a2\u6570\u306e\u7a4d\u5206\u304c\u30e9\u30f3\u30c0\u30e0\u30a4\u30d9\u30f3\u30c8\u306e\u53ef\u80fd\u6027\u306b\u7b49\u3057\u304f\u306a\u308b\u3088\u3046\u306b\u3001\u78ba\u7387\u306e\u30b5\u30d6\u30bb\u30af\u30b7\u30e7\u30f3\u306e\u305f\u3081\u306b\u6c7a\u5b9a\u3055\u308c\u308b\u975e\u9670\u6027\u95a2\u6570\u3002\u5bc6\u5ea6\u95a2\u6570\u306f\u30011\u6b21\u5143\u304a\u3088\u3073\u591a\u6b21\u5143\u78ba\u7387\u5206\u5e03\u306b\u5bfe\u3057\u3066\u5b9a\u7fa9\u3055\u308c\u307e\u3059\u3002\u5bc6\u5ea6\u306e\u5206\u5e03\u304c\u547c\u3073\u51fa\u3055\u308c\u307e\u3059 \u7d99\u7d9a\u7684\u306a\u30b9\u30b1\u30b8\u30e5\u30fc\u30eb \u3002        (adsbygoogle = window.adsbygoogle || []).push({});after-content-x4\u3055\u305b\u3066        (adsbygoogle = window.adsbygoogle || []).push({});after-content-x4p {displaystyle p} \u7a7a\u9593\u5185\u306e\u78ba\u7387\u306e\u5206\u5e03\u306b\u306a\u308a\u307e\u3059 r n {displaystyle mathbb {r} ^{n}} \uff08\u7279\u306b\u5358\u7d14\u306a\u30ea\u30a2\u30eb\u3067 r {displaystyle mathbb {r}} \uff09\u3002 \u78ba\u7387\u5206\u5e03\u306e\u5bc6\u5ea6         (adsbygoogle = window.adsbygoogle || []).push({});after-content-x4p {displaystyle p} \u975e\u9670\u6027\u306e\u30dc\u30ec\u30ed\u30a6\u95a2\u6570\u3068\u547c\u3070\u308c\u307e\u3059 f \uff1a r n \u2192 r +\u222a { 0 } \u3001 {displaystyle fcolon mathbb {r} ^{n} to mathbb {r _ {+}} cup {0}\u3001} \u305d\u306e\u3088\u3046\u306b\u3001\u5404\u30dc\u30ec\u30ed\u30a6\u30b3\u30ec\u30af\u30b7\u30e7\u30f3\u306b\u3064\u3044\u3066 b \u2286 r n {displaystyle bsubseteq mathbb {r} ^{n}} \u5e73\u7b49\u304c\u3042\u308a\u307e\u3059\uff1a p \uff08 b \uff09\uff09 = \u222b Bf \uff08 \u30d0\u30c4 \uff09\uff09 d \u30d0\u30c4 \u3001 {displaystyle P\uff08b\uff09= int limits _ {b} f\uff08x\uff09dx\u3001} \u3059\u306a\u308f\u3061\u3001\u95a2\u6570\u304b\u3089\u306e\u7a4d\u5206 f {displaystyle f} \u30b3\u30ec\u30af\u30b7\u30e7\u30f3\u3067\u8a08\u7b97\u3055\u308c\u307e\u3059 b {displaystyle b} \u78ba\u7387\u306b\u7b49\u3057\u304f\u306a\u308a\u307e\u3059 p \uff08 b \uff09\uff09 {displaystyle P\uff08b\uff09} \u30b3\u30ec\u30af\u30b7\u30e7\u30f3\u306b\u5272\u308a\u5f53\u3066\u3089\u308c\u307e\u3059 b \u3002 {displaystyle B.}  \u7279\u5225\u306a\u5834\u5408\u306f\u3001Lebesgue\u3092\u4f7f\u7528\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002 Tw\u3002 1 \uff08\u5bc6\u5ea6\u306e\u6b63\u898f\u5316\u306b\u3064\u3044\u3066\uff09if f {displaystyle f} \u6e1b\u8870\u306e\u5bc6\u5ea6\u3067\u3059 p \u3001 {displaystyle p\u3001} \u3053\u308c\u306f\u7279\u306b\u3001\u4e0a\u8a18\u306e\u5b9a\u7fa9\u306e\u304a\u304b\u3052\u3067\u3059\u3002 \u222b !RNf \uff08 \u30d0\u30c4 \uff09\uff09 d \u30d0\u30c4 = \u521d\u3081 \u3001 {displaystyle int limits _ {\uff01mathbb {r} ^{n}} f\uff08x\uff09dx = 1\u3001} \u3059\u306a\u308f\u3061\u3001\u7a7a\u9593\u5168\u4f53\u3067\u8a08\u7b97\u3055\u308c\u305f\u5bc6\u5ea6\u95a2\u6570\u304b\u3089\u306e\u7a4d\u5206 r n {displaystyle mathbb {r} ^{n}} 1\u306b\u7b49\u3057\u3044\u3002 Tw\u3002 2 \uff08\u7279\u5b9a\u306e\u5bc6\u5ea6\u306e\u5206\u5e03\u306e\u5b58\u5728\u306b\u3064\u3044\u3066\uff09 \u975e\u9670\u6027\u306e\u30dc\u30ec\u30ed\u30a6\u95a2\u6570 f \u3001 {displaystyle f\u3001} \u4e0a\u8a18\u306e\u72b6\u614b\u3092\u6e80\u305f\u3059\u3053\u3068\u306f\u3001\u3042\u308b\u78ba\u7387\u5206\u5e03\u306e\u5bc6\u5ea6\u3067\u3059 p \u3002 {displaystyle P.}  Table of Contents\u5bc6\u5ea6\u3068\u5206\u5e03-1\u6b21\u5143\u306e\u5834\u5408 [ \u7de8\u96c6 | \u30b3\u30fc\u30c9\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u5bc6\u5ea6\u3068\u671f\u5f85\u50241\u6b21\u5143\u306e\u5834\u5408 [ \u7de8\u96c6 | \u30b3\u30fc\u30c9\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u30e9\u30f3\u30c0\u30e0\u5909\u6570\u306e\u5408\u8a08\u306e\u5bc6\u5ea6 [ \u7de8\u96c6 | \u30b3\u30fc\u30c9\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u5bc6\u5ea6\u7279\u6027-2\u6b21\u5143\u306e\u5834\u5408 [ \u7de8\u96c6 | \u30b3\u30fc\u30c9\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u5bc6\u5ea6\u95a2\u6570\u306b\u3088\u3063\u3066\u5236\u9650\u3055\u308c\u3066\u3044\u308b\u30d6\u30ed\u30c3\u30af\u306e\u4f53\u7a4d [ \u7de8\u96c6 | \u30b3\u30fc\u30c9\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u98db\u884c\u6a5f\u306e\u7279\u5b9a\u306e\u9818\u57df\u304b\u3089\u306e\u5024\u306e\u78ba\u7387 [ \u7de8\u96c6 | \u30b3\u30fc\u30c9\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u30e9\u30f3\u30c0\u30e0\u5909\u6570\u306e\u72ec\u7acb\u6027\u306b\u95a2\u3059\u308b\u5b9a\u7406 [ \u7de8\u96c6 | \u30b3\u30fc\u30c9\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u5bc6\u5ea6\u3068\u5206\u5e03-1\u6b21\u5143\u306e\u5834\u5408 [ \u7de8\u96c6 | \u30b3\u30fc\u30c9\u3092\u7de8\u96c6\u3057\u307e\u3059 ] Tw\u3002 3 \uff08\u5206\u5e03\u306e\u8a08\u7b97\u306b\u3064\u3044\u3066\uff09 \u305d\u308c\u3092\u4eee\u5b9a\u3057\u307e\u3057\u3087\u3046 f {displaystyle f} \u6e1b\u8870\u306e\u5bc6\u5ea6\u3067\u3059 p \u3002 {displaystyle P.} \u6b21\u306b\u3001\u5206\u5e03 f p {displaystyle f_ {p}} \u5206\u89e3 p {displaystyle p} \u5bc6\u5ea6\u304b\u3089\u6c7a\u5b9a\u3067\u304d\u307e\u3059 f P\uff08 \u30d0\u30c4 \uff09\uff09 \u559c\u3093\u3067 p \uff08 \uff08  &#8211;  \u221e \u3001 \u30d0\u30c4 ] \uff09\uff09 = \u222b \u2212\u221exf \uff08 t \uff09\uff09 d t \u3002 {displaystyle f_ {p}\uff08x\uff09equiv p\uff08,,\uff08 &#8211;  infty\u3001x]\u3001\uff09= int limits _ { &#8211;  infty}^{x} f\uff08t\uff09dt\u3002} \u3057\u305f\u304c\u3063\u3066\u3001\u5bc6\u5ea6\u304c\u3042\u308b\u5834\u5408\u306f\u3001\u6e1b\u8870\u306e\u5206\u5e03\u3092\u7c21\u5358\u306b\u8868\u73fe\u3067\u304d\u307e\u3059\u3002\u3053\u308c\u306f\u3001\u5206\u5e03\u3092\u57fa\u672c\u7684\u306b\uff08\u4f8b\uff1a\u6b63\u898f\u5206\u5e03\u306e\u5834\u5408\uff09\u8868\u73fe\u3067\u304d\u306a\u3044\u5834\u5408\u306b\u5f79\u7acb\u3061\u307e\u3059\u3002 Tw\u3002 4\u3002 \u7279\u5b9a\u306e\u5206\u5e03\u306e\u305f\u3081\u306b\u5bc6\u5ea6\u306e\u5b58\u5728\u306b\u5fc5\u8981\u304b\u3064\u5341\u5206\u306a\u6761\u4ef6 p {displaystyle p} \u5f7c\u306e\u5206\u5e03\u306b\u306f\u7d76\u5bfe\u7684\u306a\u9023\u7d9a\u6027\u304c\u3042\u308a\u307e\u3059\u3002 \u9023\u7d9a\u6027\u81ea\u4f53\u306f\u5341\u5206\u306a\u6761\u4ef6\u3067\u306f\u3042\u308a\u307e\u305b\u3093 &#8211; \u5bc6\u5ea6\u306e\u306a\u3044\u9023\u7d9a\u5206\u5e03\uff08\u4f8b\uff1aCantor\u306e\u5206\u5e03\uff09\u304c\u3042\u308a\u307e\u3059\u3002 Tw\u3002 5\u3002 \u3082\u3057\u3082 f {displaystyle f} \u5206\u5e03\u3067\u3059\u3002\u3069\u3053\u3067\u3082\u307b\u307c\u7570\u306a\u308a\u3001 f &#8216; {displaystyle f &#8216;} \uff08\u307b\u307c\u3059\u3079\u3066\u306e\u5834\u6240\u3067\u6c7a\u5b9a\u3055\u308c\u307e\u3059\uff09\u3069\u3053\u3067\u3082\u30bc\u30ed\u3068\u306f\u307b\u307c\u7570\u306a\u308a\u3001\u5bc6\u5ea6\u3067\u3059\u3002 \u5bc6\u5ea6\u3068\u671f\u5f85\u50241\u6b21\u5143\u306e\u5834\u5408 [ \u7de8\u96c6 | \u30b3\u30fc\u30c9\u3092\u7de8\u96c6\u3057\u307e\u3059 ] Tw\u3002 6\u3002 \u3082\u3057\u3082 \u30d0\u30c4 {displaystyle x} \u5bc6\u5ea6\u306e\u9023\u7d9a\u5206\u5e03\u3092\u6301\u30641\u6b21\u5143\u30e9\u30f3\u30c0\u30e0\u5909\u6570\u3067\u3059 f \uff08 \u30d0\u30c4 \uff09\uff09 \u3001 {displaystyle f\uff08x\uff09\u3001} \u5f0f\u3067\u8868\u73fe\u3055\u308c\u308b\u306e\u306f\u5f7c\u5973\u306e\u671f\u5f85\u5024\u3067\u3059\u3002 \u3068 \uff08 \u30d0\u30c4 \uff09\uff09 = \u222b \u2212\u221e\u221e\u30d0\u30c4 f \uff08 \u30d0\u30c4 \uff09\uff09 d \u30d0\u30c4 \u3002 {displaystyle e\uff08x\uff09= int limits _ { &#8211;  infty}^{infty} xf\uff08x\uff09dx\u3002} \u30e9\u30f3\u30c0\u30e0\u5909\u6570\u306e\u5408\u8a08\u306e\u5bc6\u5ea6 [ \u7de8\u96c6 | \u30b3\u30fc\u30c9\u3092\u7de8\u96c6\u3057\u307e\u3059 ] Tw\u3002 7  a\uff09 \u3082\u3057\u3082 \u30d0\u30c4 {displaystyle x} \u79c1 \u3068 {displaystyle y} \u305d\u308c\u3089\u306f\u72ec\u7acb\u3057\u305f\u30e9\u30f3\u30c0\u30e0\u5909\u6570\u3067\u3042\u308a\u3001\u5c11\u306a\u304f\u3068\u30821\u3064\u306f\u9023\u7d9a\u5206\u5e03\u3092\u6301\u3061\u3001\u305d\u306e\u5408\u8a08\u306b\u306f\u9023\u7d9a\u7684\u306a\u5206\u5e03\u304c\u3042\u308a\u307e\u3059\u3002 b\uff09 \u3055\u3089\u306b\u3001\u4e21\u65b9\u306e\u30e9\u30f3\u30c0\u30e0\u5909\u6570\u306b\u9023\u7d9a\u5206\u5e03\u304c\u3042\u308b\u5834\u5408\u3001\u305d\u306e\u5408\u8a08\u306e\u5bc6\u5ea6\u306f\u5bc6\u5ea6\u306e\u7e54\u308a\u3067\u3059\u3002 \u5bc6\u5ea6\u7279\u6027-2\u6b21\u5143\u306e\u5834\u5408 [ \u7de8\u96c6 | \u30b3\u30fc\u30c9\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u5bc6\u5ea6\u95a2\u6570\u306b\u3088\u3063\u3066\u5236\u9650\u3055\u308c\u3066\u3044\u308b\u30d6\u30ed\u30c3\u30af\u306e\u4f53\u7a4d [ \u7de8\u96c6 | \u30b3\u30fc\u30c9\u3092\u7de8\u96c6\u3057\u307e\u3059 ] Tw\u3002 8\u3002 2\u3064\u306e\u5909\u6570\u306e\u5bc6\u5ea6\u95a2\u6570\u3092\u6301\u3064\u4e0a\u304b\u3089\u5236\u9650\u3055\u308c\u305f\u30d6\u30ed\u30c3\u30af\u306e\u4f53\u7a4d\u3001\u304a\u3088\u3073\u5e73\u9762\u4ed8\u304d\u306e\u5e95\u304b\u3089 \u3068 = 0 {\u5c55\u793az = 0} \u305d\u308c\u306f\u5e38\u306b\u5e73\u7b49\u3067\u3059 \u521d\u3081 \u3001 {displaystyle 1\u3001} \u3059\u306a\u308f\u3061 \u222b \u2212\u221e\u221e\u222b \u2212\u221e\u221ef \uff08 \u30d0\u30c4 \u3001 \u3068 \uff09\uff09  d \u3068  d \u30d0\u30c4 = \u521d\u3081\u3002 {displaystyle int limits _ { &#8211;  infty}^{infty} int limits _ { &#8211;  infty}^{infty} f\uff08x\u3001y\uff09dy dx = 1\u3002} \u7b49\u3057\u3044\u95a2\u6570\u306e\u5024\u304b\u3089\u306e\u7a4d\u5206\u3078\u306e\u8ca2\u732e 0 {displaystyle 0} \u5408\u8a08 0 \u3001 {displaystyle 0\u3001} \u3057\u305f\u304c\u3063\u3066\u3001\u5bc6\u5ea6\u95a2\u6570\u306e\u30bc\u30ed\u4ee5\u5916\u306e\u9818\u57df\u3078\u306e\u4e0a\u8a18\u306e\u7d71\u5408\u3092\u72ed\u3081\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u305f\u3068\u3048\u3070\u3001\u3053\u306e\u9818\u57df\u304c\u9577\u65b9\u5f62\u306e\u5834\u5408 [ \u30d0\u30c4 \u521d\u3081 \u3001 \u30d0\u30c4 2 ] \u00d7 [ \u3068 \u521d\u3081 \u3001 \u3068 2 ] \u3001 {displayStyle [x_ {1}\u3001x_ {2}] times [y_ {1}\u3001y_ {2}]\u3001} \u306b \u222b x1x2\u222b y1y2f \uff08 \u30d0\u30c4 \u3001 \u3068 \uff09\uff09  d \u3068  d \u30d0\u30c4 = \u521d\u3081\u3002 {displaystyle int limits _ {x_ {1}}^{x_ {2}} int limits _ {y_ {1}}^{y_ {2}} f\uff08x\u3001y\uff09dy dx = 1\u3002} \u98db\u884c\u6a5f\u306e\u7279\u5b9a\u306e\u9818\u57df\u304b\u3089\u306e\u5024\u306e\u78ba\u7387 [ \u7de8\u96c6 | \u30b3\u30fc\u30c9\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u7279\u5b9a\u306e\u9818\u57df\u304b\u3089\u7d50\u679c\u3092\u53d7\u4fe1\u3059\u308b\u53ef\u80fd\u6027\u3092\u8a08\u7b97\u3059\u308b\u305f\u3081\u306b d {displaystyle d} \u5e73\u9762\u3001\u3053\u306e\u9818\u57df\u306e\u5f8c\u3001\u5bc6\u5ea6\u95a2\u6570\u304b\u3089\u4f5c\u6210\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002 p \uff08 d \uff09\uff09 = \u222c Df \uff08 \u30d0\u30c4 \u3001 \u3068 \uff09\uff09  d \u3068  d \u30d0\u30c4 \u3002 {displaystyle P\uff08d\uff09= iint limits _ {d} f\uff08x\u3001y\uff09dy dx\u3002} \u305f\u3068\u3048\u3070\u3001\u9577\u65b9\u5f62\u306b\u5c5e\u3059\u308b\u5024\u3092\u53d7\u4fe1\u3059\u308b\u6982\u8981\u306e\u53ef\u80fd\u6027\u3092\u30ab\u30a6\u30f3\u30c8\u3059\u308b\u5834\u5408 [ \u30d0\u30c4 \u521d\u3081 \u3001 \u30d0\u30c4 2 ] \u00d7 [ \u3068 \u521d\u3081 \u3001 \u3068 2 ] \u3001 {displayStyle [x_ {1}\u3001x_ {2}] times [y_ {1}\u3001y_ {2}]\u3001} \u3053\u308c\u306f\u3001\u9593\u9694\u306e\u5236\u9650\u3067\u30de\u30fc\u30af\u3055\u308c\u305f\u5bc6\u5ea6\u95a2\u6570\u304b\u3089\u306e\u7a4d\u5206\u306e\u5024\u306b\u7b49\u3057\u304f\u306a\u308a\u307e\u3059\u3002 p \uff08 \u30d0\u30c4 1< \u30d0\u30c4 < \u30d0\u30c4 2\u3001 \u3068 1< \u3068 < \u3068 2\uff09\uff09 = \u222b x1x2\u222b y1y2f \uff08 \u30d0\u30c4 \u3001 \u3068 \uff09\uff09  d \u3068  d \u30d0\u30c4 \u3002 {displaystyle P\uff08x_ {1} \u221e\u221ef \uff08 \u30d0\u30c4 \u3001 \u3068 \uff09\uff09  d \u3068 \u3001 {displaystyle f_ {1}\uff08x\uff09= int limits _ { &#8211;  infty}^{infty} f\uff08x\u3001y\uff09dy\u3001} f 2\uff08 \u3068 \uff09\uff09 = \u222b \u2212\u221e\u221ef \uff08 \u30d0\u30c4 \u3001 \u3068 \uff09\uff09  d \u30d0\u30c4 \u3002 {displaystyle f_ {2}\uff08y\uff09= int limits _ { &#8211;  infty}^{infty} f\uff08x\u3001y\uff09dx\u3002} \u95a2\u6570\u306e\u5834\u5408\u3001\u305d\u308c\u3089\u306f\u72ec\u7acb\u3057\u3066\u3044\u307e\u3059 f \uff08 \u30d0\u30c4 \u3001 \u3068 \uff09\uff09 {displaystyle f\uff08x\u3001y\uff09} \u30e9\u30f3\u30c0\u30e0\u30d9\u30af\u30c8\u30eb\u306e\u5bc6\u5ea6\u3067\u3059 \uff08 \u30d0\u30c4 \u3001 \u3068 \uff09\uff09 \u3001 {displaystyle\uff08x\u3001y\uff09\u3001} \u3057\u305f\u304c\u3063\u3066\u3001\u65b9\u7a0b\u5f0f\u306f\u771f\u3067\u3059\uff1a f \uff08 \u30d0\u30c4 \u3001 \u3068 \uff09\uff09 = f 1\uff08 \u30d0\u30c4 \uff09\uff09 de f 2\uff08 \u3068 \uff09\uff09 \u3002 {displaystyle f\uff08x\u3001y\uff09= f_ {1}\uff08x\uff09cdot f_ {2}\uff08y\uff09\u3002} \u53e4\u5178\u7684\u306a\u30e1\u30ab\u30cb\u30ba\u30e0\u3067\u306f\u3001\u305f\u3068\u3048\u3070\u3001\u30b7\u30b9\u30c6\u30e0\u306e\u500b\u3005\u306e\u90e8\u5206\u306e\u76f8\u4e92\u4f4d\u7f6e\u306e\u6295\u4e0e\u3068\u82bd\u306e\u6295\u4e0e\u306b\u3088\u3063\u3066\u3001\u7269\u7406\u30b7\u30b9\u30c6\u30e0\u306e\u72b6\u614b\u304c\u8a18\u8ff0\u3055\u308c\u3066\u3044\u307e\u3059\u3002\u7269\u7406\u30b7\u30b9\u30c6\u30e0\u306f\u3001\u540c\u3058\u7c92\u5b50\u3067\u69cb\u6210\u3055\u308c\u308b\u5834\u5408\u3001\u540c\u3058\u76f8\u4e92\u4f4d\u7f6e\u3068\u30b7\u30e5\u30fc\u30c8\u3092\u6301\u3064\u5834\u5408\u3001\u540c\u4e00\u3068\u898b\u306a\u3055\u308c\u307e\u3059\u3002\u3053\u3053\u3067\u306f\u3001\u53e4\u5178\u7684\u306a\u30e1\u30ab\u30cb\u30ba\u30e0\u306f\u3001\u30dd\u30b8\u30b7\u30e7\u30f3\u3068\u30b7\u30e5\u30fc\u30c8\u3092\u539f\u5247\u7684\u306b\u6e2c\u5b9a\u3067\u304d\u308b\u3068\u3044\u3046\u4eee\u5b9a\u306b\u57fa\u3065\u3044\u3066\u3044\u307e\u3059\u3002\u305f\u3060\u3057\u3001\u3053\u308c\u306f\u3001\u5c0f\u3055\u306a\u8cea\u91cf\u3092\u6301\u3064\u7c92\u5b50\u3092\u6271\u3063\u3066\u3044\u308b\u5834\u5408\u3001\u771f\u5b9f\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u3002\u3053\u306e\u5834\u5408\u3001\u7269\u7406\u30b7\u30b9\u30c6\u30e0\u306e\u5b9f\u969b\u306e\u52d5\u4f5c\u306e\u3088\u308a\u6b63\u78ba\u306a\u8aac\u660e\u306f\u3001\u91cf\u5b50\u529b\u5b66\u3092\u4e0e\u3048\u307e\u3059\u3002 \u91cf\u5b50\u529b\u5b66\u3067\u306f\u3001\u4f4d\u7f6e\u3068\u30b7\u30e5\u30fc\u30c8\u306e\u540c\u6642\u306b\u4ed8\u7740\u3057\u3066\u3044\u308b\u3053\u3068\u304c\u653e\u68c4\u3055\u308c\u307e\u3059\u3002\u898b\u8fd4\u308a\u306b\u3001\u7269\u7406\u30b7\u30b9\u30c6\u30e0\u306e\u6761\u4ef6\u306f\u6ce2\u52d5\u95a2\u6570\u306b\u3088\u3063\u3066\u8a18\u8ff0\u3055\u308c\u307e\u3059\u3002\u7269\u7406\u30b7\u30b9\u30c6\u30e0\u306f\u3001\u540c\u4e00\u306e\u6ce2\u52d5\u95a2\u6570\u306b\u8d77\u56e0\u3059\u308b\u5834\u5408\u3001\u540c\u4e00\u3068\u898b\u306a\u3055\u308c\u307e\u3059\u3002\u305f\u3060\u3057\u3001\u540c\u4e00\u306e\u30b7\u30b9\u30c6\u30e0\u3067\u5b9f\u884c\u3055\u308c\u308b\u6e2c\u5b9a\u53ef\u80fd\u306a\u30b5\u30a4\u30ba\uff08SO -COLLED\u306e\u89b3\u6e2c\u5024\uff09\u306e\u6e2c\u5b9a\u306f\u3001\u3055\u307e\u3056\u307e\u306a\u7d50\u679c\u306b\u3064\u306a\u304c\u308b\u53ef\u80fd\u6027\u304c\u3042\u308a\u307e\u3059\u3002\u305f\u3068\u3048\u3070\u3001\u540c\u3058\u6ce2\u52d5\u95a2\u6570\u306b\u8a18\u8f09\u3055\u308c\u3066\u3044\u308b\u4f4d\u7f6e\u3001\u30b7\u30e5\u30fc\u30c8\u3001\u7c92\u5b50\u30a8\u30cd\u30eb\u30ae\u30fc\u3092\u6e2c\u5b9a\u3059\u308b\u3053\u3068\u306b\u3088\u308a \u03c6 \uff08 r \uff09\uff09 {displaystyle psi\uff08r\uff09} \u7279\u5b9a\u306e\u30e9\u30f3\u30c0\u30e0\u5206\u5e03\u3067\u7d50\u679c\u3092\u53d7\u3051\u53d6\u308a\u307e\u3059\u3002 r {displaystyle r} \u6ce2\u52d5\u95a2\u6570\u30e2\u30b8\u30e5\u30fc\u30eb\u306e\u6b63\u65b9\u5f62\u306b\u7b49\u3057\u304f\u306a\u308a\u307e\u3059\u3002 r \uff08 r \uff09\uff09 = \u03c6 \uff08 r \uff09\uff09 \u2217de \u03c6 \uff08 r \uff09\uff09 = |\u03c8(r)|2\u3001 {displaystyle rho\uff08r\uff09= psi\uff08r\uff09^{*} cdot psi\uff08r\uff09=\u5de6| psi\uff08r\uff09\u53f3|^{2}\u3001} \u3069\u3053 \u2217{displaystyle ^{*}} \u8907\u96d1\u306a\u30ab\u30c3\u30d7\u30ea\u30f3\u30b0\u3092\u610f\u5473\u3057\u307e\u3059\u3002 \u4e00\u822c\u306b\u3001\u540c\u4e00\u306e\u30b7\u30b9\u30c6\u30e0\u3067\u884c\u308f\u308c\u305f\u5404\u6e2c\u5b9a\u306e\u7d50\u679c\u306f\u3001\u7279\u5b9a\u306e\u78ba\u7387\u5206\u5e03\u3092\u6301\u3064\u591a\u6b21\u5143\u30e9\u30f3\u30c0\u30e0\u5909\u6570\u3067\u3059\u3002      (adsbygoogle = window.adsbygoogle || []).push({});after-content-x4"},{"@context":"http:\/\/schema.org\/","@type":"BreadcrumbList","itemListElement":[{"@type":"ListItem","position":1,"item":{"@id":"https:\/\/wiki.edu.vn\/all2jp\/wiki47\/#breadcrumbitem","name":"Enzyklop\u00e4die"}},{"@type":"ListItem","position":2,"item":{"@id":"https:\/\/wiki.edu.vn\/all2jp\/wiki47\/archives\/1966#breadcrumbitem","name":"\u78ba\u7387\u5bc6\u5ea6\u95a2\u6570-Wikipedia\u3001\u7121\u6599\u767e\u79d1\u4e8b\u5178"}}]}]