[{"@context":"http:\/\/schema.org\/","@type":"BlogPosting","@id":"https:\/\/wiki.edu.vn\/all2jp\/wiki47\/archives\/8057#BlogPosting","mainEntityOfPage":"https:\/\/wiki.edu.vn\/all2jp\/wiki47\/archives\/8057","headline":"Lebesgue Integral -Wikipedia\u3001\u7121\u6599\u767e\u79d1\u4e8b\u5178","name":"Lebesgue Integral -Wikipedia\u3001\u7121\u6599\u767e\u79d1\u4e8b\u5178","description":"before-content-x4 \u3053\u306e\u8a18\u4e8b\u306f\u3001\u30ec\u30d9\u30b8\u30b0\u306e\u7a4d\u5206\u306e\u53b3\u683c\u306a\u6570\u5b66\u7684\u5b9a\u7fa9\u306b\u95a2\u3059\u308b\u3082\u306e\u3067\u3059\u3002\u53c2\u7167\uff1a\u30a4\u30e9\u30b9\u30c8\u30b7\u30e7\u30c3\u30c8\u3002 Ca\u0142kaLebesgue\u2019a – 1902\u5e74\u306b\u30d5\u30e9\u30f3\u30b9\u306e\u6570\u5b66\u304c\u30a2\u30f3\u30ea\u30fb\u30eb\u30d9\u30b9\u30fc\u30b0\u306e\u6570\u5b66\u306b\u3088\u3063\u3066\u5c0e\u5165\u3055\u308c\u305f\u3001\u30ea\u30fc\u30de\u30f3\u306e\u7a4d\u5206\u306e\u6982\u5ff5\u3092\u3088\u308a\u5e83\u7bc4\u306a\u6a5f\u80fd\u306e\u6a5f\u80fd\u306b\u62e1\u5f35\u3059\u308b\u6570\u5b66\u69cb\u9020 [\u521d\u3081] \u3002\u62e1\u5f35\u6a5f\u80fd\u306f\u3001\u30b5\u30d6\u6a5f\u80fd\u3092\u6c7a\u5b9a\u3067\u304d\u308b\u30d5\u30a3\u30fc\u30eb\u30c9\u306b\u3082\u9069\u7528\u3055\u308c\u307e\u3059\u3002 \u30eb\u30d9\u30b9\u30b0\u81ea\u8eab\u304c\u5f7c\u306e\u5b9a\u7fa9\u3092\u53e4\u5178\u7684\u306a\u7a4d\u5206\u30ea\u30fc\u30de\u30f3\u3068\u6bd4\u8f03\u3057\u307e\u3057\u305f [\u5fc5\u8981] \uff1a \u4e00\u5b9a\u306e\u91d1\u984d\u3092\u652f\u6255\u3046\u3079\u304d\u3060\u3068\u60f3\u50cf\u3057\u3066\u304f\u3060\u3055\u3044\u3002\u3053\u306e\u76ee\u7684\u306e\u305f\u3081\u306b\u3001\u5fc5\u8981\u306a\u91d1\u984d\u3092\u96c6\u3081\u308b\u305f\u3081\u306b\u8ca1\u5e03\u304b\u3089\u304a\u91d1\u3092\u5f15\u304d\u51fa\u3059\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u3053\u308c\u306fRiemana\u306e\u7a4d\u5206\u3067\u3059\u3002\u307e\u305f\u3001\u3059\u3079\u3066\u306e\u30b3\u30a4\u30f3\u3092\u4e00\u5ea6\u306b\u524a\u9664\u3057\u3001\u5024\u306b\u5fdc\u3058\u3066\u4e26\u3079\u66ff\u3048\u3066\u3001\u3044\u304f\u3064\u304b\u306e\u30b3\u30a4\u30f3\u3067\u306e\u307f\u652f\u6255\u3046\u3053\u3068\u3082\u3067\u304d\u307e\u3059\u3002\u3053\u308c\u306f\u79c1\u306e\u4e0d\u53ef\u6b20\u3067\u3059\u3002 \u3053\u308c\u306f\u6b21\u306e\u3088\u3046\u306b\u8aac\u660e\u3067\u304d\u307e\u3059\u3002Riemann\u30e1\u30bd\u30c3\u30c9\u3067\u306f\u3001\u95a2\u6570\u306e\u30d5\u30a3\u30fc\u30eb\u30c9\u304c\u767a\u751f\u3057\u3001\u30c1\u30e3\u30fc\u30c8\u306e\u300c\u9ad8\u3055\u300d\u304c\u5404\u5834\u6240\u3067\u9806\u756a\u306b\u6e2c\u5b9a\u3055\u308c\u307e\u3059\u3002\u4e00\u65b9\u3001Lebesgue\u30e1\u30bd\u30c3\u30c9\u306f\u6700\u521d\u306b\u95a2\u6570\u5024\u306e\u30bb\u30c3\u30c8\u3092\u8003\u616e\u3057\u3001\u3053\u308c\u306b\u5f93\u3063\u3066\u30d5\u30a3\u30fc\u30eb\u30c9\u306e\u30d4\u30fc\u30b9\u3092\u9078\u629e\u3057\u307e\u3059\u3002 \u7279\u5b9a\u306e\u95a2\u6570\u306e\u30cf\u30f3\u30de\u30fc\u306e\u7a4d\u5206\u304c\u3001\u3053\u306e\u95a2\u6570\u306elebesgue\u306e\u7a4d\u5206\u306b\u7b49\u3057\u304f\u306a\u308a\u307e\u3059\u3002 Lebesgue\u306e\u7d71\u5408\u306e\u4e3b\u306a\u5229\u70b9\u306f\u3001\u95a2\u6570\u306e\u70b9\u9650\u754c\u306e\u6982\u5ff5\u3068\u6570\u5b66\u7684\u306a\u8aac\u660e\u3067\u8abf\u548c\u3059\u308b\u3053\u3068\u3067\u3059\u3002\u7a4d\u5206\u304a\u3088\u3073\u5883\u754c\u306e\u624b\u8853\u306e\u9806\u5e8f\u3092\u4ea4\u63db\u3067\u304d\u308b\u3053\u3068\u3067\u3059\uff08\u3053\u308c\u306f\u3001Riemanna\u306e\u7a4d\u5206\u306e\u5834\u5408\u306b\u306f\u5fc5\u305a\u3057\u3082\u53ef\u80fd\u3067\u306f\u3042\u308a\u307e\u305b\u3093\uff09\u3002\u73fe\u5728\u3001Lebesgue\u306e\u7a4d\u5206\u306f\u3001\u305d\u308c\u3092\u4f7f\u7528\u3057\u305f\u73fe\u4ee3\u306e\u6570\u5b66\u3068\u6559\u3048\u306e\u57fa\u672c\u7684\u306a\u30c4\u30fc\u30eb\u306e1\u3064\u3067\u3059\u3002 Riemana\u306e\u7a4d\u5206\u306f\u3001\u30e6\u30fc\u30af\u30ea\u30c9\u7a7a\u9593\u3092\u5099\u3048\u305f\u5206\u96e2\u4e0d\u53ef\u80fd\u306a\u69cb\u9020\u3067\u3059\u3002 Lebesgue\u306e\u4e00\u822c\u5316\u306b\u3088\u308a\u3001\u3088\u308a\u4e00\u822c\u7684\u306a\u30b9\u30da\u30fc\u30b9\u3067\u6307\u5b9a\u3055\u308c\u305f\u6a5f\u80fd\u306b\u30ad\u30b9\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u30b9\u30b1\u30c3\u30c1\u3055\u308c\u305f\u30a2\u30d7\u30ed\u30fc\u30c1\u306e\u4e0b\u306b\u306f\u3001\u53ef\u80fd\u306a\u591a\u304f\u306e\u30a2\u30d7\u30ed\u30fc\u30c1\u306e1\u3064\u304c\u3042\u308a\u307e\u3059\u3002 \u53ce\u7a6b a \u79c1 ;\u6570\u5b57","datePublished":"2022-08-09","dateModified":"2022-08-09","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\/7\/72\/Disambig.svg\/25px-Disambig.svg.png","url":"https:\/\/upload.wikimedia.org\/wikipedia\/commons\/thumb\/7\/72\/Disambig.svg\/25px-Disambig.svg.png","height":"20","width":"25"},"url":"https:\/\/wiki.edu.vn\/all2jp\/wiki47\/archives\/8057","wordCount":18260,"articleBody":" (adsbygoogle = window.adsbygoogle || []).push({});before-content-x4 \u3053\u306e\u8a18\u4e8b\u306f\u3001\u30ec\u30d9\u30b8\u30b0\u306e\u7a4d\u5206\u306e\u53b3\u683c\u306a\u6570\u5b66\u7684\u5b9a\u7fa9\u306b\u95a2\u3059\u308b\u3082\u306e\u3067\u3059\u3002\u53c2\u7167\uff1a\u30a4\u30e9\u30b9\u30c8\u30b7\u30e7\u30c3\u30c8\u3002 Ca\u0142kaLebesgue\u2019a – 1902\u5e74\u306b\u30d5\u30e9\u30f3\u30b9\u306e\u6570\u5b66\u304c\u30a2\u30f3\u30ea\u30fb\u30eb\u30d9\u30b9\u30fc\u30b0\u306e\u6570\u5b66\u306b\u3088\u3063\u3066\u5c0e\u5165\u3055\u308c\u305f\u3001\u30ea\u30fc\u30de\u30f3\u306e\u7a4d\u5206\u306e\u6982\u5ff5\u3092\u3088\u308a\u5e83\u7bc4\u306a\u6a5f\u80fd\u306e\u6a5f\u80fd\u306b\u62e1\u5f35\u3059\u308b\u6570\u5b66\u69cb\u9020 [\u521d\u3081] \u3002\u62e1\u5f35\u6a5f\u80fd\u306f\u3001\u30b5\u30d6\u6a5f\u80fd\u3092\u6c7a\u5b9a\u3067\u304d\u308b\u30d5\u30a3\u30fc\u30eb\u30c9\u306b\u3082\u9069\u7528\u3055\u308c\u307e\u3059\u3002 \u30eb\u30d9\u30b9\u30b0\u81ea\u8eab\u304c\u5f7c\u306e\u5b9a\u7fa9\u3092\u53e4\u5178\u7684\u306a\u7a4d\u5206\u30ea\u30fc\u30de\u30f3\u3068\u6bd4\u8f03\u3057\u307e\u3057\u305f [\u5fc5\u8981] \uff1a \u4e00\u5b9a\u306e\u91d1\u984d\u3092\u652f\u6255\u3046\u3079\u304d\u3060\u3068\u60f3\u50cf\u3057\u3066\u304f\u3060\u3055\u3044\u3002\u3053\u306e\u76ee\u7684\u306e\u305f\u3081\u306b\u3001\u5fc5\u8981\u306a\u91d1\u984d\u3092\u96c6\u3081\u308b\u305f\u3081\u306b\u8ca1\u5e03\u304b\u3089\u304a\u91d1\u3092\u5f15\u304d\u51fa\u3059\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u3053\u308c\u306fRiemana\u306e\u7a4d\u5206\u3067\u3059\u3002\u307e\u305f\u3001\u3059\u3079\u3066\u306e\u30b3\u30a4\u30f3\u3092\u4e00\u5ea6\u306b\u524a\u9664\u3057\u3001\u5024\u306b\u5fdc\u3058\u3066\u4e26\u3079\u66ff\u3048\u3066\u3001\u3044\u304f\u3064\u304b\u306e\u30b3\u30a4\u30f3\u3067\u306e\u307f\u652f\u6255\u3046\u3053\u3068\u3082\u3067\u304d\u307e\u3059\u3002\u3053\u308c\u306f\u79c1\u306e\u4e0d\u53ef\u6b20\u3067\u3059\u3002 \u3053\u308c\u306f\u6b21\u306e\u3088\u3046\u306b\u8aac\u660e\u3067\u304d\u307e\u3059\u3002Riemann\u30e1\u30bd\u30c3\u30c9\u3067\u306f\u3001\u95a2\u6570\u306e\u30d5\u30a3\u30fc\u30eb\u30c9\u304c\u767a\u751f\u3057\u3001\u30c1\u30e3\u30fc\u30c8\u306e\u300c\u9ad8\u3055\u300d\u304c\u5404\u5834\u6240\u3067\u9806\u756a\u306b\u6e2c\u5b9a\u3055\u308c\u307e\u3059\u3002\u4e00\u65b9\u3001Lebesgue\u30e1\u30bd\u30c3\u30c9\u306f\u6700\u521d\u306b\u95a2\u6570\u5024\u306e\u30bb\u30c3\u30c8\u3092\u8003\u616e\u3057\u3001\u3053\u308c\u306b\u5f93\u3063\u3066\u30d5\u30a3\u30fc\u30eb\u30c9\u306e\u30d4\u30fc\u30b9\u3092\u9078\u629e\u3057\u307e\u3059\u3002 \u7279\u5b9a\u306e\u95a2\u6570\u306e\u30cf\u30f3\u30de\u30fc\u306e\u7a4d\u5206\u304c\u3001\u3053\u306e\u95a2\u6570\u306elebesgue\u306e\u7a4d\u5206\u306b\u7b49\u3057\u304f\u306a\u308a\u307e\u3059\u3002 Lebesgue\u306e\u7d71\u5408\u306e\u4e3b\u306a\u5229\u70b9\u306f\u3001\u95a2\u6570\u306e\u70b9\u9650\u754c\u306e\u6982\u5ff5\u3068\u6570\u5b66\u7684\u306a\u8aac\u660e\u3067\u8abf\u548c\u3059\u308b\u3053\u3068\u3067\u3059\u3002\u7a4d\u5206\u304a\u3088\u3073\u5883\u754c\u306e\u624b\u8853\u306e\u9806\u5e8f\u3092\u4ea4\u63db\u3067\u304d\u308b\u3053\u3068\u3067\u3059\uff08\u3053\u308c\u306f\u3001Riemanna\u306e\u7a4d\u5206\u306e\u5834\u5408\u306b\u306f\u5fc5\u305a\u3057\u3082\u53ef\u80fd\u3067\u306f\u3042\u308a\u307e\u305b\u3093\uff09\u3002\u73fe\u5728\u3001Lebesgue\u306e\u7a4d\u5206\u306f\u3001\u305d\u308c\u3092\u4f7f\u7528\u3057\u305f\u73fe\u4ee3\u306e\u6570\u5b66\u3068\u6559\u3048\u306e\u57fa\u672c\u7684\u306a\u30c4\u30fc\u30eb\u306e1\u3064\u3067\u3059\u3002 Riemana\u306e\u7a4d\u5206\u306f\u3001\u30e6\u30fc\u30af\u30ea\u30c9\u7a7a\u9593\u3092\u5099\u3048\u305f\u5206\u96e2\u4e0d\u53ef\u80fd\u306a\u69cb\u9020\u3067\u3059\u3002 Lebesgue\u306e\u4e00\u822c\u5316\u306b\u3088\u308a\u3001\u3088\u308a\u4e00\u822c\u7684\u306a\u30b9\u30da\u30fc\u30b9\u3067\u6307\u5b9a\u3055\u308c\u305f\u6a5f\u80fd\u306b\u30ad\u30b9\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u30b9\u30b1\u30c3\u30c1\u3055\u308c\u305f\u30a2\u30d7\u30ed\u30fc\u30c1\u306e\u4e0b\u306b\u306f\u3001\u53ef\u80fd\u306a\u591a\u304f\u306e\u30a2\u30d7\u30ed\u30fc\u30c1\u306e1\u3064\u304c\u3042\u308a\u307e\u3059\u3002 \u53ce\u7a6b a \u79c1 ;\u6570\u5b57 c \u79c1 \u5f7c\u3089\u306f\u8d64\u3044\u30a8\u30d4\u30bd\u30fc\u30c9\u306e\u9ad8\u3055\u306b\u6a2a\u305f\u308f\u3063\u3066\u3044\u307e\u3059 \u30ea\u30fc\u30de\u30f3\u30ca\u306e\u7a4d\u5206\u306f\u3001\u30e8\u30eb\u30c0\u30f3\u306e\u5c3a\u5ea6\u306b\u95a2\u9023\u4ed8\u3051\u3089\u308c\u3066\u304a\u308a\u3001\u3053\u308c\u306f\u6dfb\u52a0\u95a2\u6570\u306e\u5b8c\u6210\u306b\u904e\u304e\u307e\u305b\u3093\u3002\u8a00\u3044\u63db\u3048\u308c\u3070\u3001\u6709\u9650\u6570\u306e\u5206\u96e2\u306e\u5408\u8a08\u306e\u5c3a\u5ea6\u306f\u3001\u500b\u3005\u306e\u30b3\u30ec\u30af\u30b7\u30e7\u30f3\u306e\u5c3a\u5ea6\u306e\u5408\u8a08\u306b\u7b49\u3057\u3044\u3068\u60f3\u5b9a\u3055\u308c\u3066\u3044\u307e\u3059\u3002\u30ea\u30fc\u30de\u30f3\u306e\u7d71\u5408\u306e\u6982\u5ff5\u306e\u6982\u5ff5\u306e\u62e1\u5f35\u3078\u306e\u9053\u306e\u57fa\u672c\u7684\u306a\u30b9\u30c6\u30c3\u30d7\u306e1\u3064\u306f\u3001\u30c7\u30a3\u30ea\u30af\u30ec\u6a5f\u80fd\u306e\u6a5f\u80fd\u306e\u6a5f\u80fd\u3078\u306e\u6982\u5ff5\u3078\u306e\u62e1\u5f35\u3067\u3057\u305f\u3002\u3053\u308c\u306f\u3001\u30e8\u30eb\u30c0\u30f3\u306e\u5c3a\u5ea6\u3092\u3059\u3067\u306b\u5909\u63db\u3057\u3066\u3044\u308b\u30eb\u30d9\u30fc\u30b0\u306e\u5c3a\u5ea6\u306b\u7f6e\u304d\u63db\u3048\u308b\u3053\u3068\u3067\u3057\u305f\u3002 lebesgue\u306e\u5c3a\u5ea6\u306b\u95a2\u9023\u3059\u308b\u7a4d\u5206\u306e\u5b9a\u7fa9\u306b\u306f\u3001\u9818\u57df\u3092\u6e2c\u5b9a\u3059\u308b\u30d7\u30ed\u30bb\u30b9\u3092\u8003\u616e\u3057\u3066\u5909\u66f4\u304c\u5fc5\u8981\u3067\u3059\u3002\u7a4d\u5206\u306e\u5b9a\u7fa9\u3067\u306f\u3001\u6a5f\u80fd\u306e\u30d5\u30a3\u30fc\u30eb\u30c9\u306f\u77ed\u3044\u30b3\u30f3\u30d1\u30fc\u30c8\u30e1\u30f3\u30c8\u306b\u5206\u5272\u3055\u308c\u307e\u3059\u3002\u4e00\u65b9\u3001Lebesgue\u306e\u7a4d\u5206\u3092\u8a08\u7b97\u3059\u308b\u3068\u304d\u3001\u3053\u308c\u306f\u30d5\u30a3\u30fc\u30eb\u30c9\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u304c\u3001\u7a4d\u5206\u95a2\u6570\u306e\u8ef8\u306f\u591a\u304f\u306e\u30b3\u30f3\u30d1\u30fc\u30c8\u30e1\u30f3\u30c8\u3092\u5b8c\u6210\u3055\u305b\u308b\u3053\u3068\u306b\u5206\u304b\u308c\u3066\u3044\u307e\u3059\u3002 \u8aac\u660e\u3092\u5bb9\u6613\u306b\u3059\u308b\u305f\u3081\u306b\u3001\u80af\u5b9a\u7684\u306a\u6a5f\u80fd\u304c\u60f3\u5b9a\u3055\u308c\u307e\u3059\u3002 f {displaystyle f} \u7bc4\u56f2\u306b\u542b\u307e\u308c\u3066\u3044\u307e\u3059 [ 0 \u3001 b ] \u3002 {displaystyle [0\u3001b]\u3002} \u95a2\u6570\u30c1\u30e3\u30fc\u30c8\u306e\u4e0b\u306e\u9818\u57df\u306e\u9762\u7a4d\u306e\u9818\u57df\u306e\u8fd1\u4f3c\u3092\u898b\u3064\u3051\u308b\u306b\u306f f \u3001 {displaystyle f\u3001} \u30b3\u30f3\u30d1\u30fc\u30c8\u30e1\u30f3\u30c8\u3092\u5206\u5272\u3057\u307e\u3059 [ 0 \u3001 b ] {displaystyle [0\u3001b]} \u30dd\u30a4\u30f3\u30c8\u306e\u7d42\u308f\u308a\u306b\u3064\u3044\u3066\u30b5\u30dd\u30fc\u30c8\u3055\u308c\u3066\u3044\u308b\u533a\u5225\u5668\u306b 0 = a 0 < a \u521d\u3081 < \u22ef < a n < a n + \u521d\u3081 = b \u3002 {displaystyle 0 = a_ {0} \uff08 a \u79c1 \u3001 a \u79c1 + \u521d\u3081 \uff09\uff09 {displaystyle c_ {i} in\uff08a_ {i}\u3001a_ {i+1}\uff09} \uff08\u56f3\u3067\u306f\u3001\u3053\u308c\u3089\u306e\u6570\u5b57\u306f\u8d64\u3044\u30a8\u30d4\u30bd\u30fc\u30c9\u306e\u9ad8\u3055\u306b\u3042\u308a\u307e\u3059\uff09\u3001\u305d\u308c\u3089\u306f\u305d\u308c\u305e\u308c \u30a8\u30ea\u30a2 a \u79c1 \u00d7 [ 0 \u3001 c \u79c1 ] {displayStyle a_ {i} times [0\u3001c_ {i}]} \u3068 \u3044\u3044\u3048 \u3053\u308c\u306f\u7b49\u3057\u3044\u3067\u3059 \u7bc4\u56f2 | a \u79c1 | {displaystyle | a_ {i} |} \u30b3\u30ec\u30af\u30b7\u30e7\u30f3 a \u79c1 {displaystyle a_ {i}} \u3067\u639b\u3051\u3089\u308c\u307e\u3059 c \u79c1 \u3002 {displaystyle c_ {i}\u3002} \u3053\u306e\u65b9\u6cd5\u3067\u53d7\u3051\u53d6\u3063\u305f \u30a8\u30ea\u30a2 \u305d\u308c\u3089\u306f\u8a73\u7d30\u306a\u30da\u30a2\u3067\u3042\u308b\u305f\u3081\u3001\u305d\u306e\u30d5\u30a3\u30fc\u30eb\u30c9\u306e\u5408\u8a08\u304c\u95a2\u6570\u306e\u4e0b\u3067\u306e\u9818\u57df\u306e\u9818\u57df\u306b\u9069\u3057\u305f\u8fd1\u4f3c\u306b\u306a\u308b\u3053\u3068\u304c\u4e88\u60f3\u3055\u308c\u307e\u3059 f {displaystyle f} – \u6570\u5b57\u306b\u3088\u308b\u5024\u306e\u30bb\u30c3\u30c8\u306e\u521d\u671f\u5206\u5272\u304c\u5c0f\u3055\u3044\u307b\u3069\u826f\u3044\u307b\u3069 a \u79c1 \u3002 {displaystyle a_ {i}\u3002} \u3053\u306e\u30a2\u30d7\u30ed\u30fc\u30c1\u306f\u3001\u7279\u5b9a\u306e\u95a2\u6570\u3092\u5358\u7d14\u306a\u95a2\u6570\u3001\u3064\u307e\u308a\u3001\u591a\u304f\u306e\u5024\u3092\u64ae\u5f71\u3057\u3066\u3044\u308b\u95a2\u6570\u3092\u4f7f\u7528\u3057\u3066\u5c0e\u5165\u3059\u308b\u3053\u3068\u306b\u3088\u308a\u3001\u53b3\u5bc6\u306b\u5b9f\u88c5\u3055\u308c\u307e\u3059\u3002 \u6e2c\u5b9a\u53ef\u80fd \u30d5\u30a3\u30fc\u30eb\u30c9\u306e\u30b5\u30d6\u30bb\u30c3\u30c8\u3002 Table of Contents\u30b5\u30a4\u30f3 [ \u7de8\u96c6 | \u30b3\u30fc\u30c9\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u6e2c\u5b9a\u53ef\u80fd\u306a\u95a2\u6570 [ \u7de8\u96c6 | \u30b3\u30fc\u30c9\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u5358\u7d14\u306a\u95a2\u6570 [ \u7de8\u96c6 | \u30b3\u30fc\u30c9\u3092\u7de8\u96c6\u3057\u307e\u3059 ] Ca\u0142kaLebesgue\u2019a [ \u7de8\u96c6 | \u30b3\u30fc\u30c9\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u30d7\u30ed\u30d1\u30c6\u30a3\u3068\u57fa\u672c\u7684\u306a\u30af\u30ec\u30fc\u30e0 [ \u7de8\u96c6 | \u30b3\u30fc\u30c9\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u7a4d\u5206\u30ea\u30fc\u30de\u30f3\u3068\u306e\u6bd4\u8f03 [ \u7de8\u96c6 | \u30b3\u30fc\u30c9\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u30b5\u30a4\u30f3 [ \u7de8\u96c6 | \u30b3\u30fc\u30c9\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u53c2\u7167\uff1a\u7279\u5b9a\u306e\u95a2\u4fc2\u3002 \u6b21\u306e\u898f\u5247\u304c\u3055\u3089\u306b\u4f7f\u7528\u3055\u308c\u307e\u3059\uff1a\u30b7\u30f3\u30dc\u30eb "},{"@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\/8057#breadcrumbitem","name":"Lebesgue Integral -Wikipedia\u3001\u7121\u6599\u767e\u79d1\u4e8b\u5178"}}]}]