[{"@context":"http:\/\/schema.org\/","@type":"BlogPosting","@id":"https:\/\/wiki.edu.vn\/all2jp\/wiki11\/archives\/9974#BlogPosting","mainEntityOfPage":"https:\/\/wiki.edu.vn\/all2jp\/wiki11\/archives\/9974","headline":"Lineality -Wikipedia\u3001\u7121\u6599\u767e\u79d1\u4e8b\u5178","name":"Lineality -Wikipedia\u3001\u7121\u6599\u767e\u79d1\u4e8b\u5178","description":"\u6570\u5b66\u3067\u306f\u3001 \u76f4\u7dda\u6027 \u3053\u308c\u306f\u3001\u95a2\u6570\u9593\u3068\u7279\u5b9a\u306e\u30bf\u30a4\u30d7\u306e\u30b9\u30da\u30fc\u30b9\u306e\u4e21\u65b9\u3067\u5b9a\u7fa9\u3055\u308c\u305f\u62bd\u8c61\u7684\u306a\u30d7\u30ed\u30d1\u30c6\u30a3\u3092\u6307\u3057\u307e\u3059\u3002\u3053\u308c\u306b\u3088\u308a\u3001\u30aa\u30d6\u30b8\u30a7\u30af\u30c8\u306e\u5408\u8a08\u306b\u95a2\u9023\u3059\u308b\u30aa\u30d6\u30b8\u30a7\u30af\u30c8\u306f\u3001\u95a2\u9023\u3059\u308b\u30aa\u30d6\u30b8\u30a7\u30af\u30c8\u306e\u5408\u8a08\u306e\u89b3\u70b9\u304b\u3089\u8868\u73fe\u3067\u304d\u307e\u3059\u3002 \u30ea\u30f3\u30b0\u306e\u6a5f\u80fd [ \u7de8\u96c6\u3057\u307e\u3059 ] \u30ea\u30f3\u30b0\u4e0a\u306e\u5b9a\u7fa9\u3055\u308c\u305f\u7dda\u5f62\u95a2\u6570 f \uff08 \u30d0\u30c4 \uff09\uff09 {displaystyle f\uff08x\uff09;} \u6b21\u306e2\u3064\u306e\u30d7\u30ed\u30d1\u30c6\u30a3\u3092\u6e80\u305f\u3059\u3082\u306e\u3067\u3059\uff08\u4ee5\u4e0b\u3092\u53c2\u7167\u3057\u3066\u304f\u3060\u3055\u3044 \u7dda\u5f62\u4ee3\u6570 \u7528\u8a9e\u3068\u308f\u305a\u304b\u306b\u7570\u306a\u308b\u4f7f\u7528\u306e\u5834\u5408 \u4e21\u65b9\u306e\u30d7\u30ed\u30d1\u30c6\u30a3\u304c\u6e80\u305f\u3055\u308c\u3066\u3044\u308b\u5834\u5408\u3001\u305d\u308c\u306f\u6b21\u306e\u3088\u3046\u306b\u547c\u3070\u308c\u307e\u3059\uff1a\u91cd\u306d\u5408\u308f\u305b\u539f\u7406\uff1a \u4e00\u822c\u306b\u3001\u6570\u5b66\u3067\u306f\u95a2\u6570\u304c \u76f4\u7dda","datePublished":"2023-02-23","dateModified":"2023-02-23","author":{"@type":"Person","@id":"https:\/\/wiki.edu.vn\/all2jp\/wiki11\/archives\/author\/lordneo#Person","name":"lordneo","url":"https:\/\/wiki.edu.vn\/all2jp\/wiki11\/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\/70aea6be721dd61cfd3c30399c709da75211fabe","url":"https:\/\/wikimedia.org\/api\/rest_v1\/media\/math\/render\/svg\/70aea6be721dd61cfd3c30399c709da75211fabe","height":"","width":""},"url":"https:\/\/wiki.edu.vn\/all2jp\/wiki11\/archives\/9974","wordCount":2350,"articleBody":"\u6570\u5b66\u3067\u306f\u3001 \u76f4\u7dda\u6027 \u3053\u308c\u306f\u3001\u95a2\u6570\u9593\u3068\u7279\u5b9a\u306e\u30bf\u30a4\u30d7\u306e\u30b9\u30da\u30fc\u30b9\u306e\u4e21\u65b9\u3067\u5b9a\u7fa9\u3055\u308c\u305f\u62bd\u8c61\u7684\u306a\u30d7\u30ed\u30d1\u30c6\u30a3\u3092\u6307\u3057\u307e\u3059\u3002\u3053\u308c\u306b\u3088\u308a\u3001\u30aa\u30d6\u30b8\u30a7\u30af\u30c8\u306e\u5408\u8a08\u306b\u95a2\u9023\u3059\u308b\u30aa\u30d6\u30b8\u30a7\u30af\u30c8\u306f\u3001\u95a2\u9023\u3059\u308b\u30aa\u30d6\u30b8\u30a7\u30af\u30c8\u306e\u5408\u8a08\u306e\u89b3\u70b9\u304b\u3089\u8868\u73fe\u3067\u304d\u307e\u3059\u3002 \u30ea\u30f3\u30b0\u306e\u6a5f\u80fd [ \u7de8\u96c6\u3057\u307e\u3059 ] \u30ea\u30f3\u30b0\u4e0a\u306e\u5b9a\u7fa9\u3055\u308c\u305f\u7dda\u5f62\u95a2\u6570 f \uff08 \u30d0\u30c4 \uff09\uff09 {displaystyle f\uff08x\uff09;} \u6b21\u306e2\u3064\u306e\u30d7\u30ed\u30d1\u30c6\u30a3\u3092\u6e80\u305f\u3059\u3082\u306e\u3067\u3059\uff08\u4ee5\u4e0b\u3092\u53c2\u7167\u3057\u3066\u304f\u3060\u3055\u3044 \u7dda\u5f62\u4ee3\u6570 \u7528\u8a9e\u3068\u308f\u305a\u304b\u306b\u7570\u306a\u308b\u4f7f\u7528\u306e\u5834\u5408 \u4e21\u65b9\u306e\u30d7\u30ed\u30d1\u30c6\u30a3\u304c\u6e80\u305f\u3055\u308c\u3066\u3044\u308b\u5834\u5408\u3001\u305d\u308c\u306f\u6b21\u306e\u3088\u3046\u306b\u547c\u3070\u308c\u307e\u3059\uff1a\u91cd\u306d\u5408\u308f\u305b\u539f\u7406\uff1a \u4e00\u822c\u306b\u3001\u6570\u5b66\u3067\u306f\u95a2\u6570\u304c \u76f4\u7dda \u5408\u8a08\u306e\u753b\u50cf\u304c\u753b\u50cf\u306e\u5408\u8a08\u306b\u7b49\u3057\u3044\u3053\u3068\u3092\u6e80\u305f\u3059\u3068\u304d\uff08\u3064\u307e\u308a\u3001 f \uff08 \u30d0\u30c4 + \u3068 \uff09\uff09 = f \uff08 \u30d0\u30c4 \uff09\uff09 + f \uff08 \u3068 \uff09\uff09 {displaystyle f\uff08x+y\uff09= f\uff08x\uff09+f\uff08y\uff09;} \uff09\u305d\u3057\u3066\u3001\u30aa\u30d6\u30b8\u30a7\u30af\u30c8\u306e\u500d\u6570\u306e\u753b\u50cf\u304c\u753b\u50cf\u306e\u500d\u6570\u306b\u7b49\u3057\u3044\u5834\u5408\uff08\u3053\u308c\u306f f \uff08 l \u30d0\u30c4 \uff09\uff09 = l f \uff08 \u30d0\u30c4 \uff09\uff09 {displaystyle f\uff08lambda x\uff09= lambda f\uff08x\uff09;} \uff09\u3002 \u30d9\u30af\u30c8\u30eb\u7a7a\u9593 [ \u7de8\u96c6\u3057\u307e\u3059 ] \u306e\u8ca1\u7523 \u76f4\u7dda\u6027 \u3053\u308c\u306f\u3001\u30d9\u30af\u30c8\u30eb\u7a7a\u9593\u306e\u6982\u5ff5\u306b\u95a2\u9023\u4ed8\u3051\u3089\u308c\u3066\u304a\u308a\u30012\u3064\u306e\u64cd\u4f5c\u304c\u5b9a\u7fa9\u3055\u308c\u3066\u3044\u308b\u30bb\u30c3\u30c8\u3001\u5185\u90e8\uff08 \u30d9\u30af\u30bf\u30fc\u306e\u5408\u8a08  \u30d0\u30c4 + \u3068 {displaystyle x+y;} \uff09\u304a\u3088\u3073\u5916\u90e8\u306e\u3082\u306e\uff08 \u30b9\u30ab\u30e9\u30fc\u306b\u3088\u308b\u4e57\u7b97  \u03bbx \u3001 \u305d\u306e\u4e2d\u3067 l \u5916\u90e8\u30bb\u30c3\u30c8\u306b\u5c5e\u3057\u307e\u3059\uff09\u3001\u3057\u305f\u304c\u3063\u3066\u3001 \u76f4\u7dda\u6027 \u3053\u308c\u30892\u3064\u306e\u64cd\u4f5c\u3092\u53c2\u7167\u3057\u3066\u8868\u73fe\u3055\u308c\u3066\u3044\u307e\u3059\u3002\u95a2\u6570\u306e\u7dda\u5f62\u6027\u3092\u78ba\u8a8d\u3057\u307e\u3059 f \uff08 \u30d0\u30c4 \uff09\uff09 {displaystyle f\uff08x\uff09;} \u5747\u8cea\u6027\u3068\u53ef\u52d5\u6027\u306e\u7279\u6027\u3092\u5206\u96e2\u3059\u308b\u5fc5\u8981\u306f\u3042\u308a\u307e\u305b\u3093 f \uff08 a \u30d0\u30c4 + b \u3068 \uff09\uff09 = a f \uff08 \u30d0\u30c4 \uff09\uff09 + b f \uff08 \u3068 \uff09\uff09 {displaystyle f\uff08ax+by\uff09= af\uff08x\uff09+bf\uff08y\uff09;} \u76f4\u7dda\u6027\u304c\u5b9f\u8a3c\u3055\u308c\u3066\u3044\u307e\u3059\u3002 \u7dda\u5f62\u6f14\u7b97\u5b50 [ \u7de8\u96c6\u3057\u307e\u3059 ] \u7dda\u5f62\u6027\u306e\u6982\u5ff5\u306f\u3001\u7dda\u5f62\u6f14\u7b97\u5b50\u306b\u62e1\u5f35\u3067\u304d\u307e\u3059\u3002\u7dda\u5f62\u64cd\u4f5c\u306e\u91cd\u8981\u306a\u4f8b\u306b\u306f\u3001\u5fae\u5206\u6f14\u7b97\u5b50\u3068\u898b\u306a\u3055\u308c\u305f\u6d3e\u751f\u7269\u3068\u3001\u30e9\u30d7\u30e9\u30b7\u30a2\u30f3\u306a\u3069\u306e\u591a\u304f\u304c\u305d\u308c\u304b\u3089\u69cb\u7bc9\u3055\u308c\u305f\u3082\u306e\u304c\u542b\u307e\u308c\u307e\u3059\u3002\u5fae\u5206\u65b9\u7a0b\u5f0f\u3092\u76f4\u7dda\u7684\u306b\u8868\u73fe\u3067\u304d\u308b\u5834\u5408\u3001\u65b9\u7a0b\u5f0f\u3092\u5c0f\u3055\u306a\u90e8\u5206\u306b\u5206\u5272\u3057\u3001\u3053\u308c\u3089\u306e\u5404\u90e8\u5206\u3092\u89e3\u304d\u3001\u30bd\u30ea\u30e5\u30fc\u30b7\u30e7\u30f3\u3092\u4e00\u7dd2\u306b\u89e3\u304f\u3053\u3068\u3067\u3001\u7279\u306b\u7c21\u5358\u306b\u89e3\u304f\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002 \u975e\u7dda\u5f62\u65b9\u7a0b\u5f0f\u3068\u975e\u7dda\u5f62\u95a2\u6570\u306f\u3001\u30ab\u30aa\u30b9\u7406\u8ad6\u306a\u3069\u306e\u8208\u5473\u6df1\u3044\u73fe\u8c61\u3092\u89e3\u6c7a\u3057\u3001\u751f\u3058\u3055\u305b\u308b\u3053\u3068\u304c\u56f0\u96e3\u3067\u3042\u308b\u305f\u3081\u3001\u7269\u7406\u5b66\u3068\u6570\u5b66\u306b\u8208\u5473\u304c\u3042\u308a\u307e\u3059\u3002 \u7dda\u5f62\u4ee3\u6570 [ \u7de8\u96c6\u3057\u307e\u3059 ] \u7dda\u5f62\u4ee3\u6570\u306f\u3001\u30d9\u30af\u30c8\u30eb\u3001\u30d9\u30af\u30c8\u30eb\u7a7a\u9593\uff08\u307e\u305f\u306f\u7dda\u5f62\u7a7a\u9593\uff09\u3001\u7dda\u5f62\u5909\u63db\u3001\u7dda\u5f62\u65b9\u7a0b\u5f0f\u306e\u30b7\u30b9\u30c6\u30e0\u306e\u7814\u7a76\u306b\u8cac\u4efb\u304c\u3042\u308b\u6570\u5b66\u306e\u5206\u5c90\u3067\u3059\u3002 \u4e0a\u8a18\u306e\u524d\u8ff0\u3068\u306f\u308f\u305a\u304b\u306b\u7570\u306a\u308b\u4f7f\u7528\u304c\u3042\u308b\u305f\u3081\u3001\u95a2\u6570\u306e\u30b0\u30e9\u30d5\u304c\u76f4\u7dda\u3067\u3042\u308b\u305f\u3081\u3001\u30b0\u30ec\u30fc\u30c91\u306e\u591a\u9805\u5f0f\u304c\u7dda\u5f62\u3067\u3042\u308b\u3068\u8a00\u308f\u308c\u3066\u3044\u307e\u3059\u3002\u672c\u5f53\u306e\u7dda\u5f62\u95a2\u6570\u306f\u5f62\u306e\u3082\u306e\u3067\u3059 f \uff08 \u30d0\u30c4 \uff09\uff09 = m \u30d0\u30c4 + b {displaystyle f\uff08x\uff09= mx+b\u3001} m {displaystyle m} \u901a\u5e38\u3001\u52fe\u914d\u307e\u305f\u306f\u52fe\u914d\u3068\u547c\u3070\u308c\u307e\u3059\u3002 b {displaystyle b} \u3053\u308c\u306f\u3001\u30b0\u30e9\u30d5\u3068\u72ec\u7acb\u8ef8\u306e\u4ea4\u5dee\u70b9\u3067\u3059\u3002 \u3053\u306e\u300c\u7dda\u5f62\u300d\u9805\u306e\u4f7f\u7528\u306f\u3001\u4e0a\u8a18\u306e\u7528\u8a9e\u3068\u540c\u3058\u3067\u306f\u306a\u3044\u3053\u3068\u306b\u6ce8\u610f\u3057\u3066\u304f\u3060\u3055\u3044\u3002\u306a\u305c\u306a\u3089\u3001\u5b9f\u6570\u306e\u7dda\u5f62\u591a\u9805\u5f0f\u306f\u4e00\u822c\u306b\u3001\u6cd5\u7684\u6027\u3084\u5747\u4e00\u6027\u3092\u6e80\u305f\u3057\u3066\u3044\u306a\u3044\u305f\u3081\u3067\u3059\u3002\u5b9f\u969b\u3001\u591a\u9805\u5f0f\u306fb = 0\u306e\u5834\u5408\u306b\u306e\u307f\u6e80\u305f\u3055\u308c\u307e\u3059\u3002\u95a2\u6570\u306f\u95a2\u9023\u95a2\u6570\u3068\u547c\u3070\u308c\u307e\u3059\uff08\u3088\u308a\u4e00\u822c\u7684\u306a\u3001\u95a2\u9023\u3059\u308b\u5909\u63db\u3092\u53c2\u7167\uff09\u3002 \u7269\u7406\u5b66\u3067\u306f\u3001\u7dda\u5f62\u6027\u306f\u3001\u3044\u304f\u3064\u304b\u306e\u8208\u5473\u6df1\u3044\u30b7\u30b9\u30c6\u30e0\u3092\u652f\u914d\u3059\u308b\u5fae\u5206\u65b9\u7a0b\u5f0f\u306e\u7279\u6027\u3067\u3059\u3002\u3053\u306e\u7dda\u5f62\u6027\u306f\u3001\u305f\u3068\u3048\u3070\u3001\u6f5c\u5728\u7684\u7406\u8ad6\u3001\u30de\u30c3\u30af\u30b9\u30a6\u30a7\u30eb\u306e\u96fb\u78c1\u6c17\u306e\u65b9\u7a0b\u5f0f\u3001\u62e1\u6563\u306e\u65b9\u7a0b\u5f0f\u3001\u7dda\u5f62\u5f3e\u6027\u306e\u65b9\u7a0b\u5f0f\u306b\u3042\u308a\u307e\u3059\u3002 \u591a\u304f\u306e\u554f\u984c\u306b\u304a\u3044\u3066\u3001\u653f\u5e9c\u306e\u65b9\u7a0b\u5f0f\u306b\u306f\u6b21\u306e\u5f62\u5f0f\u304c\u3042\u308a\u307e\u3059\u3002 L\uff08 \u306e f\uff09\uff09 = f {displaystyle {mathcal {l}}\uff08u_ {f}\uff09= f}  \u3069\u3053 \u306e {displaystyleu} \u7279\u5b9a\u306e\u30bd\u30fc\u30b9\u306b\u95a2\u9023\u4ed8\u3051\u3089\u308c\u305f\u3042\u308b\u7a2e\u306e\u4e0d\u660e\u306a\u7269\u7406\u7684\u898f\u6a21\u3067\u3059 f {displaystyle f} \u3001 \u3068 l \uff08 de \uff09\uff09 {displaystyle {mathcal {l}}\uff08cdot\uff09} \u305d\u308c\u306f\u3042\u308b\u7a2e\u306e\u7dda\u5f62\u5fae\u5206\u6f14\u7b97\u5b50\u3067\u3059\u3002\u30aa\u30da\u30ec\u30fc\u30bf\u30fc\u306e\u76f4\u7dda\u6027\u306f\u30012\u3064\u306e\u6a5f\u80fd\u3092\u610f\u5473\u3057\u307e\u3059 f {displaystyle f} \u3068 g {displaystyle g} \u305d\u308c\u3089\u306f\u3001\u95a2\u9023\u3059\u308b\u30bd\u30ea\u30e5\u30fc\u30b7\u30e7\u30f3\u304c\u3042\u308b\u7570\u306a\u308b\u30bd\u30fc\u30b9\u95a2\u6570\u3067\u3059 \u306e f {displaystyle u_ {f}} \u3068 \u306e g {displaystyle u_ {g}} \u3001\u5408\u8a08\u306b\u95a2\u9023\u3059\u308b\u89e3\u3067\u3059 f + g {displaystyle f+g} \u30bd\u30ea\u30e5\u30fc\u30b7\u30e7\u30f3\u306e\u5408\u8a08\u306b\u3088\u3063\u3066\u4e0e\u3048\u3089\u308c\u307e\u3059 \u306e f + \u306e g {displaystyle u_ {f}+u_ {g}} \u3002\u3053\u306e\u30d7\u30ed\u30d1\u30c6\u30a3\u306f\u3001\u3088\u308a\u5358\u7d14\u306a\u30b5\u30d6\u554f\u984c\u306e\u554f\u984c\u3092\u89e3\u6d88\u3067\u304d\u308b\u305f\u3081\u3001\u5143\u306e\u554f\u984c\u306e\u89e3\u6c7a\u7b56\u3092\u30b5\u30d6\u554f\u984c\u306e\u7279\u5b9a\u306e\u89e3\u306e\u5408\u8a08\u3068\u3057\u3066\u5f97\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u7dda\u5f62\u6027\u306f\u3001\u30aa\u30fc\u30d0\u30fc\u30e9\u30c3\u30d7\u539f\u7406\u3092\u9069\u7528\u3059\u308b\u305f\u3081\u306b\u65b9\u7a0b\u5f0f\u304c\u6301\u305f\u306a\u3051\u308c\u3070\u306a\u3089\u306a\u3044\u57fa\u672c\u7684\u306a\u7279\u6027\u3067\u3059\u3002 \u7dda\u5f62\u30b7\u30b9\u30c6\u30e0 [ \u7de8\u96c6\u3057\u307e\u3059 ] 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\u30b7\u30b9\u30c6\u30e0\u306f\u3001\u5165\u529b\u3059\u308b\u5834\u5408\u306b\u306e\u307f\u7dda\u5f62\u3067\u3059 a+b \u53d6\u5f97\u3055\u308c\u307e\u3059 a s +b s \u7d39\u4ecb\u3059\u308b\u3068\u304d k \u6642\u4ee3 a \u53d6\u5f97\u3055\u308c\u307e\u3059 k \u6642\u4ee3 a s \u3002  \u3053\u308c\u3089\u306e\u30b7\u30b9\u30c6\u30e0\u306e\u7814\u7a76\u3078\u306e\u95a2\u5fc3\u306f\u3001\u7d50\u679c\u306e\u898f\u5247\u6027\u3068\u305d\u306e\u52d5\u4f5c\u306e\u4e88\u6e2c\u53ef\u80fd\u6027\u306b\u3088\u308b\u3082\u306e\u3067\u3059\u3002\u305f\u3068\u3048\u3070\u3001\u307b\u3068\u3093\u3069\u306e\u96fb\u5b50\u30c7\u30d0\u30a4\u30b9\u306f\u3001\u305d\u306e\u6982\u5ff5\u3067\u306f\u7dda\u5f62\u30b7\u30b9\u30c6\u30e0\u3067\u3059\u3002\u901a\u5e38\u3001So -Caled Chaos\u7406\u8ad6\u306b\u542b\u307e\u308c\u308b\u30b7\u30b9\u30c6\u30e0\u306f\u3001\u3057\u3070\u3057\u3070\u7dda\u5f62\u3067\u306f\u306a\u3044\u3053\u3068\u304c\u3088\u304f\u3042\u308a\u307e\u3059\u3002 \u96fb\u5b50 [ 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\u7de8\u96c6\u3057\u307e\u3059 ]     "},{"@context":"http:\/\/schema.org\/","@type":"BreadcrumbList","itemListElement":[{"@type":"ListItem","position":1,"item":{"@id":"https:\/\/wiki.edu.vn\/all2jp\/wiki11\/#breadcrumbitem","name":"Enzyklop\u00e4die"}},{"@type":"ListItem","position":2,"item":{"@id":"https:\/\/wiki.edu.vn\/all2jp\/wiki11\/archives\/9974#breadcrumbitem","name":"Lineality -Wikipedia\u3001\u7121\u6599\u767e\u79d1\u4e8b\u5178"}}]}]