[{"@context":"http:\/\/schema.org\/","@type":"BlogPosting","@id":"https:\/\/wiki.edu.vn\/all2jp\/wiki47\/archives\/11271#BlogPosting","mainEntityOfPage":"https:\/\/wiki.edu.vn\/all2jp\/wiki47\/archives\/11271","headline":"Lebesgue\u306eMiara-\u30a6\u30a3\u30ad\u30da\u30c7\u30a3\u30a2\u3001\u7121\u6599\u200b\u200b\u767e\u79d1\u4e8b\u5178","name":"Lebesgue\u306eMiara-\u30a6\u30a3\u30ad\u30da\u30c7\u30a3\u30a2\u3001\u7121\u6599\u200b\u200b\u767e\u79d1\u4e8b\u5178","description":"before-content-x4 Miara Lebesgue\u2019a \uff08\u300clebega\u300d\u3092\u8aad\u3080\uff09 – \u9577\u3055\u3001\u8868\u9762\u3001\u304a\u3088\u3073\u4f53\u7a4d\u30d5\u30a3\u30fc\u30eb\u30c9\u306e\u6982\u5ff5\u3092\u4e00\u822c\u5316\u3059\u308b\u7406\u8ad6\u3092\u6e2c\u5b9a\u3059\u308b\u3068\u3044\u3046\u6982\u5ff5\uff08\u4f8b\u3048\u3070\u3001\u30e8\u30eb\u30c0\u30f3\u306b\u3088\u308b\uff09\u3002\u6b74\u53f2\u7684\u306b\u3001\u6e2c\u5b9a\u306e\u6982\u5ff5\uff08\u4eca\u65e5\u3068\u547c\u3070\u308c\u307e\u3059 \u30eb\u30d9\u30fc\u30b0\u306e\u5c3a\u5ea6 \uff09\u30a2\u30f3\u30ea\u30fb\u30eb\u30d9\u30b9\u30b2\u306e\u4f5c\u54c1\u304b\u3089\u6765\u3066\u3044\u307e\u3059 [\u521d\u3081] \u3001\u9589\u3058\u305f\u30b3\u30f3\u30d1\u30fc\u30c8\u30e1\u30f3\u30c8\u4ee5\u5916\u306e\u30b3\u30ec\u30af\u30b7\u30e7\u30f3\u3067\u6307\u5b9a\u3055\u308c\u305f\u6a5f\u80fd\u306e\u30af\u30e9\u30b9\u3078\u306e\u7a4d\u5206\u306e\u6982\u5ff5\u306e\u62e1\u5f35\uff08SO -COLLED LEBESGUE INTECTAL\uff09\u306b\u3064\u3044\u3066\u3082\u62e1\u5f35\u3055\u308c\u3066\u3044\u307e\u3059\u3002 after-content-x4 \u30eb\u30d9\u30fc\u30b0\u306e\u5c3a\u5ea6\u306f\u3001\u552f\u4e00\u306e\u5b8c\u5168\u3067\u3001\u5185\u90e8\u7684\u306b\u898f\u5247\u7684\u3067\u4e0d\u5909\u306e\u30b7\u30d5\u30c8\u3067\u3059\uff08\u53c2\u7167 \u30d7\u30ed\u30d1\u30c6\u30a3 \uff09\uff08\u30e6\u30cb\u30c3\u30c8\uff09\u591a\u6b21\u5143\u30ad\u30e5\u30fc\u30d6\u306b\u306f\u30e6\u30cb\u30c3\u30c8\u30e1\u30b8\u30e3\u30fc\u304c\u3042\u308b\uff08\u30e6\u30cb\u30c3\u30c8\u306e\u7a7a\u9593\u306e\u3059\u3079\u3066\u306e\u958b\u3044\u305f\u30b5\u30d6\u30bb\u30c3\u30c8\u3092\u542b\u3080\u03c3\u9805\u76ee\u3067\u6307\u5b9a\uff09\u30dc\u30ec\u30ed\u30ef\u30e1\u30b8\u30e3\u30fc\u3002 \u30e6\u30fc\u30af\u30ea\u30c9\u7a7a\u9593\u306e\u30b5\u30d6\u30bb\u30c3\u30c8\u306e\u30d5\u30a1\u30df\u30ea\u30fc\u306f\u3001\u30ec\u30d9\u30b8\u30e5\u306e\u6e2c\u5b9a\u3092\u6c7a\u5b9a\u3059\u308b\u3053\u3068\u304c\u611f\u899a\u3067\u3042\u308b\u305f\u3081\u3001\u516c\u7136\u3068\u8aac\u660e\u3059\u308b\u3053\u3068\u306f\u3067\u304d\u307e\u305b\u3093\u3002\u3053\u306e\u30d5\u30a1\u30df\u30ea\u30fc\u306e\u8981\u7d20\u306f\u03c3\u30b7\u30cd\u30e0\u3067\u4f5c\u3089\u308c\u3066\u3044\u307e\u3059 \u03c3-I\u306f\u3001\u30ec\u30d9\u30fc\u30bc\u306e\u610f\u5473\u3067\u6e2c\u5b9a\u53ef\u80fd\u3067\u3057\u305f \u3002","datePublished":"2020-11-10","dateModified":"2020-11-10","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\/0a07d98bb302f3856cbabc47b2b9016692e3f7bc","url":"https:\/\/wikimedia.org\/api\/rest_v1\/media\/math\/render\/svg\/0a07d98bb302f3856cbabc47b2b9016692e3f7bc","height":"","width":""},"url":"https:\/\/wiki.edu.vn\/all2jp\/wiki47\/archives\/11271","wordCount":11488,"articleBody":"     (adsbygoogle = window.adsbygoogle || []).push({});before-content-x4Miara Lebesgue\u2019a \uff08\u300clebega\u300d\u3092\u8aad\u3080\uff09 – \u9577\u3055\u3001\u8868\u9762\u3001\u304a\u3088\u3073\u4f53\u7a4d\u30d5\u30a3\u30fc\u30eb\u30c9\u306e\u6982\u5ff5\u3092\u4e00\u822c\u5316\u3059\u308b\u7406\u8ad6\u3092\u6e2c\u5b9a\u3059\u308b\u3068\u3044\u3046\u6982\u5ff5\uff08\u4f8b\u3048\u3070\u3001\u30e8\u30eb\u30c0\u30f3\u306b\u3088\u308b\uff09\u3002\u6b74\u53f2\u7684\u306b\u3001\u6e2c\u5b9a\u306e\u6982\u5ff5\uff08\u4eca\u65e5\u3068\u547c\u3070\u308c\u307e\u3059 \u30eb\u30d9\u30fc\u30b0\u306e\u5c3a\u5ea6 \uff09\u30a2\u30f3\u30ea\u30fb\u30eb\u30d9\u30b9\u30b2\u306e\u4f5c\u54c1\u304b\u3089\u6765\u3066\u3044\u307e\u3059 [\u521d\u3081] \u3001\u9589\u3058\u305f\u30b3\u30f3\u30d1\u30fc\u30c8\u30e1\u30f3\u30c8\u4ee5\u5916\u306e\u30b3\u30ec\u30af\u30b7\u30e7\u30f3\u3067\u6307\u5b9a\u3055\u308c\u305f\u6a5f\u80fd\u306e\u30af\u30e9\u30b9\u3078\u306e\u7a4d\u5206\u306e\u6982\u5ff5\u306e\u62e1\u5f35\uff08SO -COLLED LEBESGUE INTECTAL\uff09\u306b\u3064\u3044\u3066\u3082\u62e1\u5f35\u3055\u308c\u3066\u3044\u307e\u3059\u3002        (adsbygoogle = window.adsbygoogle || []).push({});after-content-x4\u30eb\u30d9\u30fc\u30b0\u306e\u5c3a\u5ea6\u306f\u3001\u552f\u4e00\u306e\u5b8c\u5168\u3067\u3001\u5185\u90e8\u7684\u306b\u898f\u5247\u7684\u3067\u4e0d\u5909\u306e\u30b7\u30d5\u30c8\u3067\u3059\uff08\u53c2\u7167 \u30d7\u30ed\u30d1\u30c6\u30a3 \uff09\uff08\u30e6\u30cb\u30c3\u30c8\uff09\u591a\u6b21\u5143\u30ad\u30e5\u30fc\u30d6\u306b\u306f\u30e6\u30cb\u30c3\u30c8\u30e1\u30b8\u30e3\u30fc\u304c\u3042\u308b\uff08\u30e6\u30cb\u30c3\u30c8\u306e\u7a7a\u9593\u306e\u3059\u3079\u3066\u306e\u958b\u3044\u305f\u30b5\u30d6\u30bb\u30c3\u30c8\u3092\u542b\u3080\u03c3\u9805\u76ee\u3067\u6307\u5b9a\uff09\u30dc\u30ec\u30ed\u30ef\u30e1\u30b8\u30e3\u30fc\u3002 \u30e6\u30fc\u30af\u30ea\u30c9\u7a7a\u9593\u306e\u30b5\u30d6\u30bb\u30c3\u30c8\u306e\u30d5\u30a1\u30df\u30ea\u30fc\u306f\u3001\u30ec\u30d9\u30b8\u30e5\u306e\u6e2c\u5b9a\u3092\u6c7a\u5b9a\u3059\u308b\u3053\u3068\u304c\u611f\u899a\u3067\u3042\u308b\u305f\u3081\u3001\u516c\u7136\u3068\u8aac\u660e\u3059\u308b\u3053\u3068\u306f\u3067\u304d\u307e\u305b\u3093\u3002\u3053\u306e\u30d5\u30a1\u30df\u30ea\u30fc\u306e\u8981\u7d20\u306f\u03c3\u30b7\u30cd\u30e0\u3067\u4f5c\u3089\u308c\u3066\u3044\u307e\u3059 \u03c3-I\u306f\u3001\u30ec\u30d9\u30fc\u30bc\u306e\u610f\u5473\u3067\u6e2c\u5b9a\u53ef\u80fd\u3067\u3057\u305f \u3002 Lebesgue\u306e\u610f\u5473\u3067\u306e\u975e\u6839\u5143\u306e\u30b3\u30ec\u30af\u30b7\u30e7\u30f3\u306e\u5b58\u5728\u306e\u53ef\u80fd\u6027\u306f\u3001\u7406\u8ad6\u6027\u306e\u80cc\u666f\u3092\u6301\u3063\u3066\u3044\u307e\u3059\u3002\u7c21\u5358\u306b\u8a00\u3048\u3070\u3001\u305d\u308c\u306f\u30b6\u30fc\u30e1\u30eb\u30fb\u30d5\u30ec\u30fc\u30f3\u30b1\u30eb\u306e\u516c\u7406\u306e\u63a1\u7528\u3055\u308c\u305f\u62e1\u5f35\u306b\u4f9d\u5b58\u3057\u307e\u3059\uff08\u53c2\u7167 \u975e\u6839\u5143\u306e\u30b3\u30ec\u30af\u30b7\u30e7\u30f3 \uff09\u3002 \u5bfe\u7b56\u306f\u3001\u8868\u9762\u306e\u9577\u3055\u3001\u30d5\u30a3\u30fc\u30eb\u30c9\u3001\u304a\u3088\u3073\u4f53\u7a4d\u3092\u4e00\u822c\u5316\u3059\u308b\u3068\u540c\u6642\u306b\u30013\u6b21\u5143\u30e6\u30fc\u30af\u30ea\u30c3\u30c9\u7a7a\u9593\u306e\u30b3\u30f3\u30d1\u30fc\u30c8\u30e1\u30f3\u30c8\u3084\u30dc\u30fc\u30eb\u3088\u308a\u3082\u62bd\u8c61\u7684\u3067\u4e0d\u898f\u5247\u306a\u30b3\u30ec\u30af\u30b7\u30e7\u30f3\u3092\u6e2c\u5b9a\u3059\u308b\u306e\u306b\u5f79\u7acb\u3064\u3053\u3068\u304c\u5224\u660e\u3057\u307e\u3059\u3002\u6e2c\u5b9a\u7406\u8ad6\u304c\u3082\u305f\u3089\u3057\u305f\u6700\u521d\u306e\u554f\u984c\u306e1\u3064\u306f\u3001\u6e2c\u5b9a\u304c\u3042\u3063\u305f\u304b\u3069\u3046\u304b\u306e\u554f\u984c\u3067\u3057\u305f        (adsbygoogle = window.adsbygoogle || []).push({});after-content-x4m {displaystyle m} \u6b21\u306e\u30d7\u30ed\u30d1\u30c6\u30a3\u306b\u3064\u3044\u3066\uff1a m {displaystyle m} \u30b7\u30f3\u30d7\u30eb\u306a\u672c\u7269\u306e\u30b5\u30d6\u30bb\u30c3\u30c8\u3001\u3064\u307e\u308a\u30d5\u30a3\u30fc\u30eb\u30c9\u306e\u3059\u3079\u3066\u306e\u30b5\u30d6\u30bb\u30c3\u30c8\u306b\u6c7a\u5b9a\u3055\u308c\u307e\u3059 m {displaystyle m} \u4e00\u9023\u306e\u5b9f\u6570\u306e\u30d1\u30ef\u30fc\u30b3\u30ec\u30af\u30b7\u30e7\u30f3\u304c\u3042\u308a\u307e\u3059\u3001 \u5b9f\u6570\u306e\u7bc4\u56f2 [ a \u3001 b ] {displaystyle [a\u3001b]} \u6e2c\u5b9a\u5024\u304c\u3042\u308a\u307e\u3059 b  –  a \u3001 {displaystyle b-a\u3001} \u56fa\u5b9a\u30d9\u30af\u30c8\u30eb\uff08\u53f3\u307e\u305f\u306f\u5de6\uff09\u3067\u30b5\u30d6\u30bb\u30c3\u30c8\u3092\u30b7\u30d5\u30c8\u3059\u308b\u5c3a\u5ea6\u306f\u3001\u30b9\u30e9\u30a4\u30c9\u3057\u3066\u3044\u308b\u53ce\u7a6b\u306e\u5c3a\u5ea6\u3068\u540c\u3058\u3067\u3059\uff08\u8a00\u3044\u63db\u3048\u308c\u3070\u3001\u6e2c\u5b9a m {displaystyle m} \u30b7\u30d5\u30c8\u306f\u5909\u308f\u3089\u306a\u3044\uff09\u3002 \u9078\u629e\u516c\u7406\u306e\u4eee\u5b9a\uff08\u307e\u305f\u306f\u305d\u306e\u5f31\u3044\u5f62\u306e\u4e00\u90e8\u3001\u305f\u3068\u3048\u3070\u7406\u60f3\u306b\u95a2\u3059\u308b\u4e3b\u5f35\uff09\u306e\u4e0b\u3067\u306f\u3001\u5c3a\u5ea6\u306f\u3042\u308a\u307e\u305b\u3093 m {displaystyle m} \u3053\u308c\u3089\u306e\u6761\u4ef6\u3092\u6e80\u305f\u30591. 2.\u304a\u3088\u30733\u3002 \u4f7f\u7528 \u5916\u90e8lebesgue\u306e\u6e2c\u5b9a \uff08\u3059\u306a\u308f\u3061\u3001\u975e\u9670\u6027\u3001\u03c3postditic\u95a2\u6570        (adsbygoogle = window.adsbygoogle || []).push({});after-content-x4m \u2217 \u3001 {displaystyle m^{*}\u3001} \u6761\u4ef62\u304a\u3088\u30733\uff09\u3092\u6e80\u305f\u3059\u3059\u3079\u3066\u306e\u690d\u7269\u3067\u6307\u5b9a\u3055\u308c\u305f\u3001\u305d\u308c\u306f\uff08\u30ab\u30e9\u30c6\u30aa\u30c9\u30ea\u30fc\u304b\u3089\u306e\u65b9\u6cd5\u306b\u3088\u3063\u3066\uff09\u5b8c\u5168\u306a\u5c3a\u5ea6\uff08\u3059\u306a\u308f\u3061\u3001\u3053\u306e\u30d7\u30ed\u30d1\u30c6\u30a3\u306b\u95a2\u3059\u308b\u975e\u9670\u6027\u95a2\u6570\u03c3-\u30a2\u30c9\u30c7\u30a3\u30f3\u30c6\u30a3\u30a6\u30a7\u30a4\u3001\u3053\u306e\u95a2\u6570\u304c\u50240\u3092\u6e2c\u5b9a\u53ef\u80fd\u3067\u3042\u308b\u3053\u3068\u3092\u6e2c\u5b9a\u53ef\u80fd\u3067\u3042\u308b\uff09\u3092\u69cb\u7bc9\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002 \u30eb\u30d9\u30fc\u30b0\u306e\u5c3a\u5ea6 \uff09\u3002 \u30ab\u30e9\u30c6\u30aa\u30c9\u30ea\u30fc\u5b9a\u7406\u3092\u4f7f\u7528\u3057\u305f\u5efa\u8a2d \u3055\u305b\u3066 d {displaystyle d} \u56fa\u5b9a\u3055\u308c\u305f\u6b63\u306e\u7d71\u5408\u756a\u53f7\u306b\u306a\u308a\u307e\u3059\u3002 d  – \u6b21\u5143\u30dc\u30ea\u30e5\u30fc\u30e0  d {displaystyle d}  – \u6b21\u5143\u30b3\u30f3\u30d1\u30fc\u30c8\u30e1\u30f3\u30c8 p = [ a 1\u3001 b 1] \u00d7 [ a 2\u3001 b 2] \u00d7 … \u00d7 [ a d\u3001 b d] {displaystyle p = [a_ {1}\u3001b_ {1}] times [a_ {2}\u3001b_ {2}] times ldots times [a_ {d}\u3001b_ {d}]} \u3069\u3053 b \u79c1 \u2a7e a \u79c1 \u3001 {displaystyle b_ {i} geqslant a_ {i}\u3001} \u756a\u53f7\u3068\u547c\u3070\u308c\u307e\u3059 Vol d\u2061 \uff08 p \uff09\uff09 = \uff08 b 1 –  a 1\uff09\uff09 de \uff08 b 2 –  a 2\uff09\uff09 de … de \uff08 b d –  a d\uff09\uff09 \u3002 {displaystyle operatorname {vol} _ {d}\uff08p\uff09=\uff08b_ {1} -a_ {1}\uff09cdot\uff08b_ {2} -a_ {2}\uff09cdot ldot cdot\uff08b_ {d} -a_ {d}\uff09\u3002}}} \u4efb\u610f\u306e\u30b3\u30ec\u30af\u30b7\u30e7\u30f3\u306e\u5834\u5408 a \u2286 r d {displaystyle asubseteq mathbb {r} ^{d}} \u5916\u90e8\u6e2c\u5b9a\u3092\u69cb\u7bc9\u3067\u304d\u307e\u3059 l \u2217 \uff08 a \uff09\uff09 {displaystyle lambda ^{*}\uff08a\uff09} \u95a2\u6570\u306b\u3088\u3063\u3066\u6c7a\u5b9a\u3055\u308c\u307e\u3059 vold\u3001 {displaystyle {rm {{vol} _ {d}\u3001}}} \u547c\u3073\u51fa\u3055\u308c\u307e\u3057\u305f \u30eb\u30d9\u30fc\u30b0\u306e\u5916\u90e8\u6e2c\u5b9a \uff1a Inf {\u2211 B\u2208CVol d\u2061 \uff08 b \uff09\uff09 \uff1a C{displaystyle inf {bigg {} sum _ {bin {mathcal {c}}} operatorname {vol} _ {d}\uff08b\uff09colon {mathcal {c}}}}}} \u5408\u8a08\u304c\u30ab\u30d0\u30fc\u3059\u308b\u9593\u9694\u306e\u5909\u63db\u30bb\u30c3\u30c8\u3067\u3059 a }\u3002 {displaystyle a {bigg}}\u3002} \u30b3\u30ec\u30af\u30b7\u30e7\u30f3\u306b\u3064\u3044\u3066 a {displaystyle a} \u305d\u3046\u3060\u3068\u8a00\u308f\u308c\u3066\u3044\u307e\u3059 \u30eb\u30d9\u30fc\u30b0\u306e\u610f\u5473\u3067\u6e2c\u5b9a\u53ef\u80fd \u3001\u5f7c\u304c\u30ab\u30e9\u30c6\u30aa\u30c9\u30ea\u30fc\u306e\u610f\u5473\u3067\u6e2c\u5b9a\u53ef\u80fd\u3067\u3042\u308b\u5834\u5408\uff08\u5f7c\u306f\u6e80\u305f\u3057\u307e\u3059 \u30ab\u30e9\u30c6\u30aa\u30c9\u30ea\u30fc\u306e\u72b6\u614b \uff09 \u76f8\u5bfe\u7684 l \u2217 \u3001 {displaystyle lambda ^{*}\u3001} \u3064\u307e\u308a\u3001\u5404\u30b3\u30ec\u30af\u30b7\u30e7\u30f3\u306b\u3064\u3044\u3066 s \u2286 r d {displaystyle ssubseteq mathbb {r} ^{d}} \u767a\u751f\u3059\u308b\uff1a l \u2217\uff08 s \uff09\uff09 = l \u2217\uff08 s \u2229 a \uff09\uff09 + l \u2217(s \u2229 \uff08 Rd\u2216 a \uff09\uff09 )\u3002 {displaystyle lambda ^{*}\uff08s\uff09= lambda ^{*}\uff08scap a\uff09+lambda ^{*} {big\uff08} scap\uff08mathbb {r} ^{d} {big\uff09}}}} Carath\u00e9odory\u306b\u3088\u308b\u3068\u3001\u305d\u308c\u306f\u305d\u308c\u3092\u793a\u3057\u3066\u3044\u307e\u3059 l \u2217 {displaystyle lambda ^{*}} \u30b3\u30ec\u30af\u30b7\u30e7\u30f3\u306e\u5bb6\u65cf\u306b\u30ab\u30c3\u30c8\u3055\u308c\u305f\u30ab\u30e9\u30c6\u30aa\u30c9\u30ea\u30fc\u306f\u3001\u5b8c\u5168\u306a\u5c3a\u5ea6\u3067\u3059 – \u3053\u306e\u5c3a\u5ea6\u306f\u5b87\u5b99\u306e\u30ec\u30d9\u30b9\u30b0\u306e\u5c3a\u5ea6\u3068\u547c\u3070\u308c\u307e\u3059 r d \u3002 {displaystyle mathbb {r} ^{d}\u3002}  \u30eb\u30d9\u30fc\u30b0\u306e\u5efa\u8a2d Lebesgue\u3068\u305d\u306e\u30d0\u30ea\u30a2\u30f3\u30c8\u306e\u5143\u306e\u8a2d\u8a08\u3068\u3001\u5fc5\u8981\u306a\u5909\u5316\uff08\u304a\u3088\u3073\u305d\u306e\u4e2d\u3067\u3001\u4e0a\u8a18\u306e\u30ab\u30e9\u30c6\u30aa\u30c9\u30ea\u30fc\u69cb\u9020\uff09\u306b\u52a0\u3048\u3066\u3001\u7d71\u5408\u7406\u8ad6\u306f\u4f7f\u7528\u3055\u308c\u307e\u305b\u3093\u3002\u3053\u308c\u306f\u3001\u30d1\u30ef\u30fc\u30b3\u30ec\u30af\u30b7\u30e7\u30f3\u306e\u30b5\u30d6\u30bb\u30c3\u30c8\u3067\u6307\u5b9a\u3055\u308c\u305f\u6a5f\u80fd\u95a2\u6570\u3067\u306e\u307f\u52d5\u4f5c\u3057\u3001\u6a5f\u80fd\u306e\u7d71\u5408\u7406\u8ad6\u306e\u5c3a\u5ea6\u3067\u306e\u307f\u3001\u81ea\u7531\u306b\u69cb\u7bc9\u3055\u308c\u3066\u3044\u307e\u3059\u3002 \u4ee3\u8868\u7684\u306a\u5efa\u8a2d \u30af\u30ec\u30fc\u30e0\u306e\u8a3c\u660e\u306f\u3001\u5225\u306e\u30a2\u30d7\u30ed\u30fc\u30c1\u306b\u3088\u3063\u3066\u793a\u5506\u3055\u308c\u3066\u3044\u307e\u3059\u3002\u305d\u308c\u306f\u3001\u7a4d\u5206\u306e\u3088\u308a\u5358\u7d14\u306a\u7406\u8ad6\uff08\u901a\u5e38\u306f\u30ea\u30fc\u30de\u30ca\u306e\u7a4d\u5206\uff09\u304b\u3089\u59cb\u307e\u308a\u307e\u3059\u3002\u3053\u308c\u306b\u3088\u308a\u3001\u7279\u306b\u5358\u7d14\u306a\u30af\u30e9\u30b9\u306e\u6a5f\u80fd\u3001\u30b3\u30f3\u30d1\u30af\u30c8\u5a92\u4f53\u4e0a\u306e\u9023\u7d9a\u95a2\u6570\u306e\u7d71\u5408\u304c\u53ef\u80fd\u306b\u306a\u308a\u307e\u3059\u3002\u3053\u308c\u3089\u306e\u6a5f\u80fd\u304b\u3089\u59cb\u3081\u3066\u3001\u30aa\u30fc\u30d7\u30f3\u30b3\u30ec\u30af\u30b7\u30e7\u30f3\u306e\u5c3a\u5ea6\u306f\u3001\u30ad\u30e5\u30fc\u30dc\u30a4\u30c9\u3088\u308a\u3082\u8c4a\u5bcc\u306a\u30bb\u30c3\u30c8\u306e\u30af\u30e9\u30b9\u3067\u3059\u304c\u3001\u30dc\u30ec\u30ed\u30a6\u30b3\u30ec\u30af\u30b7\u30e7\u30f3\u3088\u308a\u3082\u5c0f\u3055\u3044\u3002\u6b21\u306b\u3001\u3053\u306e\u6e2c\u5b9a\u7406\u8ad6\u306f\u3001\u30eb\u30d9\u30fc\u30b0\u306e\u8a3c\u62e0\u3068\u540c\u3058\u3088\u3046\u306b\u3001\u30ec\u30d9\u30b8\u30b0\u306e\u610f\u5473\u3067\u03c3\u6e2c\u5b9a\u53ef\u80fd\u306a\u30b3\u30ec\u30af\u30b7\u30e7\u30f3\u306b\u62e1\u5f35\u3055\u308c\u307e\u3059\u304c\u3001\u6280\u8853\u7684\u306b\u306f\u7c21\u5358\u3067\u3059\u3002\u30e1\u30b8\u30e3\u30fc\u304b\u3089\u306e\u4e00\u822c\u7684\u306a\u7a4d\u5206\u306e\u3055\u3089\u306a\u308b\u69cb\u7bc9\u306f\u3001\u4ee5\u524d\u306e\u69cb\u9020\u3068\u540c\u3058\u3088\u3046\u306b\u540c\u4e00\u306b\u5b9f\u884c\u3055\u308c\u307e\u3059\u3002 Young-Daniella Construction  \u53c2\u7167\uff1aCaiss Daniel-Stone\u3002 \u30a6\u30a3\u30ea\u30a2\u30e0\u30fbH\u30fb\u30e4\u30f3\u30b0\u306b\u3088\u3063\u3066\u958b\u59cb\u3055\u308c\u3001\u30d1\u30fc\u30b7\u30fc\u30fb\u30c0\u30cb\u30a8\u30eb\u306b\u3088\u3063\u3066\u518d\u958b\u3055\u308c\u305f3\u756a\u76ee\u306e\u30a2\u30d7\u30ed\u30fc\u30c1\u306f\u3001\u4e00\u822c\u7684\u306a\u6e2c\u5b9a\u7406\u8ad6\u306b\u983c\u308b\u3053\u3068\u306a\u304f\u3001\u30ec\u30d9\u30b8\u30b0\u306e\u7d71\u5408\u7406\u8ad6\u306e\u69cb\u7bc9\u3001\u3059\u306a\u308f\u3061\u3001\u6a5f\u80fd\u306e\u95a2\u9023\u30d5\u30a1\u30df\u30ea\u30fc\uff08\u534a\u30b9\u30c8\u30ec\u30c3\u30c1\u6a5f\u80fd\uff09\u306b\u6307\u5b9a\u3055\u308c\u305f\u6a5f\u80fd\u3092\u52d5\u4f5c\u3055\u305b\u3001\u305d\u306e\u5f8c\u3001\u7a4d\u6975\u7684\u306a\u69cb\u7bc9\u306e\u5c3a\u5ea6\u306e\u69cb\u7bc9\u3092\u7372\u5f97\u3059\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u69cb\u6210\u3055\u308c\u3066\u3044\u307e\u3059\u3002 \u6e2c\u5b9a\u306e\u5b9a\u7fa9\u306b\u3088\u308b\uff1a \u3082\u3057\u3082 a {displaystyle a} \u6e2c\u5b9a\u53ef\u80fd\u3067\u3042\u308a\u3001\u6e2c\u5b9a\u53ef\u80fd\u3067\u3059\u3002 l \uff08 a \uff09\uff09 \u2a7e 0 {displaystyle lambda\uff08a\uff09geqslant 0} \u6e2c\u5b9a\u53ef\u80fd\u306a\u30bb\u30c3\u30c8\u3054\u3068\u306b a ; {displaystyle a;} \u3082\u3057\u3082 a {displaystyle a} \u30eb\u30d9\u30fc\u30b0\u306e\u610f\u5473\u3067\u6e2c\u5b9a\u53ef\u80fd\u306a\u591a\u304f\u306e\u500b\u5225\u306e\u5b57\u5e55\u3078\u306e\u5909\u63db\u306e\u5408\u8a08\u3001\u305d\u308c\u306f a {displaystyle a} \u305d\u308c\u306f\u307e\u305f\u3001\u30ec\u30d9\u30f3\u30b2\u306e\u610f\u5473\u3067\u6e2c\u5b9a\u53ef\u80fd\u3067\u3059 l \uff08 a \uff09\uff09 {displaystyle lambda\uff08a\uff09} \u3053\u308c\u3089\u306e\u6e2c\u5b9a\u53ef\u80fd\u306a\u30b3\u30ec\u30af\u30b7\u30e7\u30f3\u306e\u5408\u8a08\uff08\u5b8c\u6210\u307e\u305f\u306f\u7121\u9650\u306e\uff09\u6e2c\u5b9a\u306b\u7b49\u3057\u304f\u306a\u308a\u307e\u3059\u3002 \u3082\u3057\u3082 a {displaystyle a} \u3068 b {displaystyle b} \u305d\u308c\u3089\u306f\u3001\u30ec\u30d9\u30f3\u30b2\u306e\u610f\u5473\u3067\u306e\u6e2c\u5b9a\u53ef\u80fd\u306a\u30b3\u30ec\u30af\u30b7\u30e7\u30f3\u3067\u3059\u3002 a {displaystyle a} \u5f7c\u306f\u30b5\u30d6\u30bb\u30c3\u30c8\u3067\u3059 b \u3001 {displaystyle b\u3001} \u306b l \uff08 a \uff09\uff09 \u2a7d l \uff08 b \uff09\uff09 {displaystyle lambda\uff08a\uff09leqslant lambda\uff08b\uff09} \uff08\u4e0a\u8a18\u306e\u4e00\u8cab\u6027\uff09; \u30eb\u30d9\u30fc\u30b0\u306e\u610f\u5473\u3067\u306e\u6e2c\u5b9a\u53ef\u80fd\u306a\u30b3\u30ec\u30af\u30b7\u30e7\u30f3\u306e\u5909\u63db\u5408\u8a08\u3068\u4ea4\u5dee\u30bb\u30af\u30b7\u30e7\u30f3\u306f\u3001\u30eb\u30d9\u30fc\u30b0\u306e\u610f\u5473\u3067\u6e2c\u5b9a\u53ef\u80fd\u3067\u3059\u3002\u3053\u308c\u306f\u3001\u4e0a\u8a18\u306e\u7279\u6027\u306b\u3088\u308b\u3082\u306e\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u3002\u306a\u305c\u306a\u3089\u3001\u5bb6\u65cf\u306f\u88dc\u5b8c\u3068\u5909\u63db\u306e\u305f\u3081\u306b\u9589\u9396\u3055\u308c\u3066\u3044\u308b\u305f\u3081 \u660e\u78ba \u30b3\u30f3\u30d0\u30fc\u30b8\u30e7\u30f3\u306e\u5408\u8a08\u306e\u305f\u3081\u306b\u9589\u3058\u308b\u5fc5\u8981\u306f\u3042\u308a\u307e\u305b\u3093\uff1a {\u2205 \u3001 { \u521d\u3081 \u3001 2 \u3001 3 \u3001 4 } \u3001 { \u521d\u3081 \u3001 2 } \u3001 { 3 \u3001 4 } \u3001 { \u521d\u3081 \u3001 3 } \u3001 { 2 \u3001 4 } }\u3002 {displaystyle {big {} varnothing\u3001{1,2,3,4}\u3001{1,2}\u3001{3,4}\u3001{1,3}\u3001{2,4} {big}}\u3002}} \u69cb\u9020\u304b\u3089\uff1a \u3082\u3057\u3082 a {displaystyle a} \u30b3\u30f3\u30d1\u30fc\u30c8\u30e1\u30f3\u30c8\u306e\u30c7\u30ab\u30eb\u30c8\u88fd\u54c1\u3067\u3059 \u79c1 1\u00d7 \u79c1 2\u00d7 \u22ef \u00d7 \u79c1 d{displayStyle i_ {1}\u500d\u306ei_ {2}\u500d\u306e\u30c9\u30c3\u30c8\u6642\u9593i_ {d}} \uff08\u8a00\u3044\u63db\u3048\u308c\u3070\uff1a\u305d\u308c\u306f\u591a\u6b21\u5143\u306e\u30b3\u30f3\u30d1\u30fc\u30c8\u30e1\u30f3\u30c8\u3067\u3059\uff09\u3001\u305d\u308c a {displaystyle a} Lebesgue\u306e\u610f\u5473\u3067\u6e2c\u5b9a\u53ef\u80fd\u3067\u3059 l \uff08 a \uff09\uff09 = | \u79c1 1| de | \u79c1 2| … | \u79c1 n| \u3001 {displaystyle lambda\uff08a\uff09= | i_ {1} | cdot | i_ {2} | dots | i_ {n} |\u3001} \u3069\u3053 | \u79c1 | {displaystyle | i |} \u30b3\u30f3\u30d1\u30fc\u30c8\u30e1\u30f3\u30c8\u306e\u9577\u3055\u3092\u610f\u5473\u3057\u307e\u3059 \u79c1 ; {displaystyle i;} \u30e6\u30af\u30e9\u30a4\u30c9\u30b9\u30da\u30fc\u30b9\u306e\u5404Borelowski\u30b3\u30ec\u30af\u30b7\u30e7\u30f3\uff08\u7279\u306b\u3001\u958b\u3044\u305f\u53ce\u7a6b\u307e\u305f\u306f\u30bb\u30c3\u30c8\u304c\u9589\u3058\u3089\u308c\u3066\u3044\u308b\uff09\u306f\u3001\u30ec\u30d9\u30b7\u30b0\u306e\u610f\u5473\u3067\u6e2c\u5b9a\u53ef\u80fd\u3067\u3059\u3002 \u30eb\u30d9\u30fc\u30b0\u306e\u5c3a\u5ea6\u306f\u5730\u5143\u3067\u5b8c\u6210\u3057\u3001\u5185\u90e8\u7684\u306b\u5b9a\u671f\u7684\u3067\u3042\u308b\u305f\u3081\u3001\u30e9\u30c9\u30f3\u306e\u5c3a\u5ea6\u3067\u3059\u3002 \u30bc\u30ed\u30ec\u30d9\u30f3\u30b0\u306e\u6e2c\u5b9a\u5024\u306e\u5404\u30b5\u30d6\u30bb\u30c3\u30c8\u306f\u6e2c\u5b9a\u53ef\u80fd\u3067\u3059\uff08\u3057\u305f\u304c\u3063\u3066\u30bc\u30ed\u3082\u6e2c\u5b9a\u3057\u307e\u3059\uff09\u3002\u8a00\u3044\u63db\u3048\u308c\u3070\u3001\u30eb\u30d9\u30fc\u30b0\u306e\u5c3a\u5ea6\u306f\u5b8c\u5168\u306a\u5c3a\u5ea6\u3067\u3059\u3002 \u3082\u3057\u3082 a {displaystyle a} \u6e2c\u5b9a\u53ef\u80fd\u306a\u30b3\u30ec\u30af\u30b7\u30e7\u30f3\u3067\u3059 "},{"@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\/11271#breadcrumbitem","name":"Lebesgue\u306eMiara-\u30a6\u30a3\u30ad\u30da\u30c7\u30a3\u30a2\u3001\u7121\u6599\u200b\u200b\u767e\u79d1\u4e8b\u5178"}}]}]