[{"@context":"http:\/\/schema.org\/","@type":"BlogPosting","@id":"https:\/\/wiki.edu.vn\/all2jp\/wiki10\/archives\/21346#BlogPosting","mainEntityOfPage":"https:\/\/wiki.edu.vn\/all2jp\/wiki10\/archives\/21346","headline":"Froure -Avree -Wikipedia","name":"Froure -Avree -Wikipedia","description":"before-content-x4 \u89e3\u653e – \u30a2\u30d6\u30ec\u30a2\u30b9\u30c6\u30a3\u30f3\u30b0 \uff08MauriceRen\u00e9Fr\u00e9chet\u306b\u3088\u308b\uff09\u306f\u3001\u901a\u5e38\u306e\u5fae\u5206\u8a08\u7b97\u304b\u3089\u6d3e\u751f\u306e\u6982\u5ff5\u3092\u4e00\u822c\u7684\u306b\u3057\u3066\u3044\u307e\u3059 r n {displaystyle mathbb {r} ^{n}} after-content-x4 \u6a19\u6e96\u5316\u3055\u308c\u305f\u90e8\u5c4b\u3067\u3002\u6700\u7d42\u7684\u306b\u6b21\u5143\u306e\u90e8\u5c4b\u9593\u306e\u30a4\u30e9\u30b9\u30c8\u306e\u5834\u5408\u3001\u3053\u306e\u533a\u5225\u306e\u6982\u5ff5\u306f\u3001\u901a\u5e38\u306e\u6982\u5ff5\u3092\u3082\u305f\u3089\u3057\u307e\u3059 \u5408\u8a08\u5206\u5316 \u3002 3\u3064\u306e\u30a4\u30e9\u30b9\u30c8\u306e\u95a2\u4fc2 \u306a\u308c after-content-x4 \uff08 \u30d0\u30c4","datePublished":"2022-02-13","dateModified":"2022-02-13","author":{"@type":"Person","@id":"https:\/\/wiki.edu.vn\/all2jp\/wiki10\/archives\/author\/lordneo#Person","name":"lordneo","url":"https:\/\/wiki.edu.vn\/all2jp\/wiki10\/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\/c510b63578322050121fe966f2e5770bea43308d","url":"https:\/\/wikimedia.org\/api\/rest_v1\/media\/math\/render\/svg\/c510b63578322050121fe966f2e5770bea43308d","height":"","width":""},"url":"https:\/\/wiki.edu.vn\/all2jp\/wiki10\/archives\/21346","wordCount":15680,"articleBody":"     (adsbygoogle = window.adsbygoogle || []).push({});before-content-x4 \u89e3\u653e – \u30a2\u30d6\u30ec\u30a2\u30b9\u30c6\u30a3\u30f3\u30b0 \uff08MauriceRen\u00e9Fr\u00e9chet\u306b\u3088\u308b\uff09\u306f\u3001\u901a\u5e38\u306e\u5fae\u5206\u8a08\u7b97\u304b\u3089\u6d3e\u751f\u306e\u6982\u5ff5\u3092\u4e00\u822c\u7684\u306b\u3057\u3066\u3044\u307e\u3059 r n {displaystyle mathbb {r} ^{n}}        (adsbygoogle = window.adsbygoogle || []).push({});after-content-x4\u6a19\u6e96\u5316\u3055\u308c\u305f\u90e8\u5c4b\u3067\u3002\u6700\u7d42\u7684\u306b\u6b21\u5143\u306e\u90e8\u5c4b\u9593\u306e\u30a4\u30e9\u30b9\u30c8\u306e\u5834\u5408\u3001\u3053\u306e\u533a\u5225\u306e\u6982\u5ff5\u306f\u3001\u901a\u5e38\u306e\u6982\u5ff5\u3092\u3082\u305f\u3089\u3057\u307e\u3059 \u5408\u8a08\u5206\u5316 \u3002  3\u3064\u306e\u30a4\u30e9\u30b9\u30c8\u306e\u95a2\u4fc2 \u306a\u308c        (adsbygoogle = window.adsbygoogle || []).push({});after-content-x4\uff08 \u30d0\u30c4 \u3001 \u2016 de \u2016 \u30d0\u30c4 \uff09\uff09 {displaystyle\uff08x\u3001| {cdot} | _ {x}\uff09} \u3068 \uff08 \u3068 \u3001 \u2016 de \u2016 \u3068 \uff09\uff09 {displaystyle\uff08y\u3001| {cdot} | _ {y}\uff09} 2\u3064\u306e\u6a19\u6e96\u5316\u3055\u308c\u305f\u90e8\u5c4b\u3068 \u306e \u2282 \u30d0\u30c4 {displaystyle usubset x} \u30aa\u30fc\u30d7\u30f3\u30b5\u30d6\u30bb\u30c3\u30c8\u3002\u30aa\u30da\u30ec\u30fc\u30bf\u30fc a \uff1a \u306e \u2192 \u3068 {displaystyle acolon uto\u304a\u3088\u3073} \u547c\u3070\u308c\u3066\u3044\u307e\u3059 \u5225\u306e\u30d0\u30fc\u3092\u89e3\u653e\u3057\u307e\u3059 \u30dd\u30a4\u30f3\u30c8\u3067        (adsbygoogle = window.adsbygoogle || []).push({});after-content-x4\u30d5\u30a1\u30a4 \u2208 \u306e {uin u\u306edisplaystyle varphi} \u5236\u9650\u3055\u308c\u305f\u7dda\u5f62\u6f14\u7b97\u5b50\u304c\u3042\u308b\u5834\u5408 a ‘ \uff08 \u30d5\u30a1\u30a4 \uff09\uff09 \uff1a \u30d0\u30c4 \u2192 \u3068 {displaystyle a ‘\uff08varphi\uff09\u30b3\u30ed\u30f3xto y} \u305d\u306e\u3088\u3046\u306a\u3082\u306e \u30ea\u30e0 \u2016h\u2016X\u219201\u2016h\u2016X\u2016a \uff08 \u30d5\u30a1\u30a4 + h \uff09\uff09  –  a \uff08 \u30d5\u30a1\u30a4 \uff09\uff09  –  a ‘ \uff08 \u30d5\u30a1\u30a4 \uff09\uff09 h \u2016Y= 0 {displaystyle lim _ {| h | _ {x} to 0} {frac {1} {| h | _ {x}}}\u3001{big |} a\uff08varphi +h\uff09-a\uff08varphi\uff09-a ‘\uff08varphi\uff09h {big |} _ {y} = 0} _ {y} = 0} \u9069\u7528\u53ef\u80fd\u3067\u3059\u3002\u30aa\u30da\u30ec\u30fc\u30bf\u30fc a ‘ \uff08 \u30d5\u30a1\u30a4 \uff09\uff09 {displaystyle a ‘\uff08varphi\uff09} \u8ca8\u7269\u8ca8\u7269\u3068\u30d7\u30ea\u30a2\u30f3\u30d7\u30ec\u30fc\u30b7\u30e7\u30f3\u306evone\u3092\u5909\u52d5\u3055\u305b\u307e\u3059 a {displaystyle a} \u30dd\u30a4\u30f3\u30c8\u3067 \u30d5\u30a1\u30a4 {displaystyle varphi} \u3002\u5168\u54e1\u306e\u305f\u3081\u306eFr\u00e9chet\u6d3e\u751f\u304c\u5b58\u5728\u3057\u307e\u3059 \u30d5\u30a1\u30a4 \u2208 \u306e {uin u\u306edisplaystyle varphi} \u3001\u30a4\u30e9\u30b9\u30c8\u304c\u547c\u3070\u308c\u307e\u3059 a ‘ \uff1a \u306e \u2192 l \uff08 \u30d0\u30c4 \u3001 \u3068 \uff09\uff09 {displaystyle a’colon uto l\uff08x\u3001y\uff09} \u3068 \u30d5\u30a1\u30a4 \u21a6 a ‘ \uff08 \u30d5\u30a1\u30a4 \uff09\uff09 {displaystyle varphi mapsto a ‘\uff08varphi\uff09} \u6fc0\u3057\u3044\u30a2\u30d6\u30ec\u30a2\u30b9\u30c6\u30a3\u30f3\u30b0\u30d5\u30a9\u30f3\u3092\u6b7b\u306b\u307e\u3059 a {displaystyle a} \u306e\u4e0a \u306e {displaystyleu} \u3002\u3068 l \uff08 \u30d0\u30c4 \u3001 \u3068 \uff09\uff09 {displaystyle l\uff08x\u3001y\uff09} \u306e\u5b9a\u6570\u7dda\u5f62\u56f3\u306e\u7a7a\u9593\u304c\u3042\u308b\u5834\u5408 \u30d0\u30c4 {displaystyle x} \u5f8c \u3068 {displaystyle y} \u5c02\u7528\u3002 \u8868\u8a18\u306b\u6ce8\u610f\u3057\u3066\u304f\u3060\u3055\u3044\uff1a \u306e\u53e4\u5178\u7684\u306a\u30b1\u30fc\u30b9\u3067 f \uff1a r n \u2192 r m {displaystyle F\uff1aMathbb {r} ^{n}\u304b\u3089mathbb {r} ^{m}}\u3078 \u901a\u5e38\u3001\u4ee3\u8868\u8005\u3067\u3059 f ‘ \uff08 \u30d0\u30c4 0 \uff09\uff09 \u2208 r n \u00d7 m {displaystyle f ‘\uff08x_ {0}\uff09in mathbb {r} ^{ntimes m}} \u5c0e\u51fa\u3055\u308c\u305f\u6d3e\u751f\u6f14\u7b97\u5b50\u306e\u3002\u305f\u3060\u3057\u3001\u3053\u3053\u3067\u306f\u3001\u7d50\u679c\u3068\u3057\u3066\u751f\u3058\u308b\u7dda\u5f62\u6f14\u7b97\u5b50 \u30d0\u30c4 \u21a6 f ‘ \uff08 \u30d0\u30c4 0 \uff09\uff09 \u30d0\u30c4 {displaystyle xmapsto f ‘\uff08x_ {0}\uff09\u3001x} \u8a00\u53ca\u3055\u308c\u305f\u6d3e\u751f\u3002\u305f\u3068\u3048\u3070\u3001\u7dda\u5f62\u95a2\u6570\u306e\u5834\u5408 f \uff08 \u30d0\u30c4 \uff09\uff09 = c \u30d0\u30c4 {displaystyle f\uff08x\uff09= c\u3001x} \u30c7\u30ea\u30d0\u30c6\u30a3\u30d6\u6f14\u7b97\u5b50\u3067\u3059 \u30d0\u30c4 \u21a6 f ‘ \uff08 \u30d0\u30c4 0 \uff09\uff09 \u30d0\u30c4 = c \u30d0\u30c4 = f \uff08 \u30d0\u30c4 \uff09\uff09 {displaystyle xmapsto f ‘\uff08x_ {0}\uff09x = c\u3001x = f\uff08x\uff09} \u3001\u3057\u304b\u3057\u3001\u305d\u308c\u306f\u307e\u3060\u9069\u7528\u3055\u308c\u307e\u3059 f ‘ \uff08 \u30d0\u30c4 0 \uff09\uff09 \u2260 f \uff08 \u30d0\u30c4 0 \uff09\uff09 {displaystyle f ‘\uff08x_ {0}\uff09neq f\uff08x_ {0}\uff09} \u3002 Table of Contents\u540c\u7b49\u306e\u5b9a\u7fa9 [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u7dda\u5f62\u6f14\u7b97\u5b50 [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u5b9f\u969b\u306e\u6a5f\u80fd [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] InteglaloPerator [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u540c\u7b49\u306e\u5b9a\u7fa9 [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u540c\u7b49\u306e\u5b9a\u7fa9\u306f\u6b21\u306e\u3068\u304a\u308a\u3067\u3059\u3002 \u305d\u308c\u305e\u308c\u306b "},{"@context":"http:\/\/schema.org\/","@type":"BreadcrumbList","itemListElement":[{"@type":"ListItem","position":1,"item":{"@id":"https:\/\/wiki.edu.vn\/all2jp\/wiki10\/#breadcrumbitem","name":"Enzyklop\u00e4die"}},{"@type":"ListItem","position":2,"item":{"@id":"https:\/\/wiki.edu.vn\/all2jp\/wiki10\/archives\/21346#breadcrumbitem","name":"Froure -Avree -Wikipedia"}}]}]