[{"@context":"http:\/\/schema.org\/","@type":"BlogPosting","@id":"https:\/\/wiki.edu.vn\/all2jp\/wiki10\/archives\/20128#BlogPosting","mainEntityOfPage":"https:\/\/wiki.edu.vn\/all2jp\/wiki10\/archives\/20128","headline":"\u30e6\u30cb\u30c3\u30c8\u30bf\u30ea\u30a2\u30f3\u30aa\u30da\u30ec\u30fc\u30bf\u30fc – \u30a6\u30a3\u30ad\u30da\u30c7\u30a3\u30a2","name":"\u30e6\u30cb\u30c3\u30c8\u30bf\u30ea\u30a2\u30f3\u30aa\u30da\u30ec\u30fc\u30bf\u30fc – \u30a6\u30a3\u30ad\u30da\u30c7\u30a3\u30a2","description":"before-content-x4 a \u30e6\u30cb\u30c3\u30c8\u30bf\u30ea\u30a2\u30f3\u30aa\u30da\u30ec\u30fc\u30bf\u30fc \u6570\u5b66\u306e2\u3064\u306e\u30d8\u30eb\u30d7\u30eb\u30fc\u30e0\u306e\u9593\u306e\u751f\u7269\u7684\u7dda\u5f62\u6f14\u7b97\u5b50\u3067\u3042\u308a\u3001\u30b9\u30ab\u30e9\u30fc\u7a4d\u3092\u53d7\u3051\u53d6\u308a\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u30e6\u30cb\u30bf\u30ea\u30a2\u30f3\u306e\u30aa\u30da\u30ec\u30fc\u30bf\u30fc\u306f\u7279\u5225\u306a\u76f4\u4ea4\u307e\u305f\u306f\u30e6\u30cb\u30bf\u30ea\u30a2\u30f3\u306e\u30a4\u30e9\u30b9\u30c8\u3067\u3042\u308a\u3001\u5e38\u306b\u9806\u8abf\u306b\u7acb\u3063\u3066\u304a\u308a\u3001\u5b58\u5728\u3057\u3001\u9650\u3089\u308c\u3066\u3044\u3066\u3001\u4e21\u65b9\u304c\u540c\u3058\u5834\u5408\u306f\u6b63\u5e38\u3067\u3059\u3002 univeriear\u30aa\u30da\u30ec\u30fc\u30bf\u30fc\u306e\u9006\u6f14\u7b97\u5b50\u306f\u3001\u5f7c\u306e\u4efb\u547d\u3055\u308c\u305f\u6f14\u7b97\u5b50\u3068\u7b49\u3057\u304f\u306a\u308a\u307e\u3059\u3002\u30d2\u30eb\u30d0\u30fc\u306e\u5922\u306e\u56e3\u7d50\u6f14\u7b97\u5b50\u306e\u81ea\u5df1\u4fa1\u5024\u306b\u306f\u3059\u3079\u3066\u3001\u91cf\u304c\u3042\u308a\u307e\u3059\u3002\u540c\u3058\u6b21\u5143\u306e\u6700\u7d42\u7684\u306a\u5bf8\u6cd5\u30d9\u30af\u30c8\u30eb\u30eb\u30fc\u30e0\u306e\u9593\u306e\u30e6\u30cb\u30bf\u30ea\u30a2\u30f3\u30aa\u30da\u30ec\u30fc\u30bf\u30fc\u306f\u3001\u305d\u308c\u305e\u308c\u306e\u30aa\u30eb\u30bd\u30fc\u30de\u30eb\u30d9\u30fc\u30b9\u3067Unity Matrices\u3067\u8868\u3059\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u7121\u9650\u578b\u6a5f\u80fd\u5ba4\u9593\u306e\u5358\u4f4d\u6f14\u7b97\u5b50\u306e\u91cd\u8981\u306a\u4f8b\u306f\u3001\u91cf\u5b50\u529b\u5b66\u306e\u30d5\u30fc\u30ea\u30a8\u5909\u63db\u3068\u6642\u9593\u958b\u767a\u6f14\u7b97\u5b50\u3067\u3059\u3002 after-content-x4 \u7d71\u884c\u6f14\u7b97\u5b50\u306f\u3001\u751f\u7269\u306e\u7dda\u5f62\u6f14\u7b97\u5b50\u3067\u3059 t \uff1a \u306e \u2192 \u306e {displaystyletcolon vto w} 2\u3064\u306e\u5922\u306e\u9593 \uff08 \u306e \u3001","datePublished":"2020-01-06","dateModified":"2020-01-06","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\/a9307c45fa2557b519d013c5b4229c9bd53a6c3a","url":"https:\/\/wikimedia.org\/api\/rest_v1\/media\/math\/render\/svg\/a9307c45fa2557b519d013c5b4229c9bd53a6c3a","height":"","width":""},"url":"https:\/\/wiki.edu.vn\/all2jp\/wiki10\/archives\/20128","wordCount":5808,"articleBody":"     (adsbygoogle = window.adsbygoogle || []).push({});before-content-x4a \u30e6\u30cb\u30c3\u30c8\u30bf\u30ea\u30a2\u30f3\u30aa\u30da\u30ec\u30fc\u30bf\u30fc \u6570\u5b66\u306e2\u3064\u306e\u30d8\u30eb\u30d7\u30eb\u30fc\u30e0\u306e\u9593\u306e\u751f\u7269\u7684\u7dda\u5f62\u6f14\u7b97\u5b50\u3067\u3042\u308a\u3001\u30b9\u30ab\u30e9\u30fc\u7a4d\u3092\u53d7\u3051\u53d6\u308a\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u30e6\u30cb\u30bf\u30ea\u30a2\u30f3\u306e\u30aa\u30da\u30ec\u30fc\u30bf\u30fc\u306f\u7279\u5225\u306a\u76f4\u4ea4\u307e\u305f\u306f\u30e6\u30cb\u30bf\u30ea\u30a2\u30f3\u306e\u30a4\u30e9\u30b9\u30c8\u3067\u3042\u308a\u3001\u5e38\u306b\u9806\u8abf\u306b\u7acb\u3063\u3066\u304a\u308a\u3001\u5b58\u5728\u3057\u3001\u9650\u3089\u308c\u3066\u3044\u3066\u3001\u4e21\u65b9\u304c\u540c\u3058\u5834\u5408\u306f\u6b63\u5e38\u3067\u3059\u3002 univeriear\u30aa\u30da\u30ec\u30fc\u30bf\u30fc\u306e\u9006\u6f14\u7b97\u5b50\u306f\u3001\u5f7c\u306e\u4efb\u547d\u3055\u308c\u305f\u6f14\u7b97\u5b50\u3068\u7b49\u3057\u304f\u306a\u308a\u307e\u3059\u3002\u30d2\u30eb\u30d0\u30fc\u306e\u5922\u306e\u56e3\u7d50\u6f14\u7b97\u5b50\u306e\u81ea\u5df1\u4fa1\u5024\u306b\u306f\u3059\u3079\u3066\u3001\u91cf\u304c\u3042\u308a\u307e\u3059\u3002\u540c\u3058\u6b21\u5143\u306e\u6700\u7d42\u7684\u306a\u5bf8\u6cd5\u30d9\u30af\u30c8\u30eb\u30eb\u30fc\u30e0\u306e\u9593\u306e\u30e6\u30cb\u30bf\u30ea\u30a2\u30f3\u30aa\u30da\u30ec\u30fc\u30bf\u30fc\u306f\u3001\u305d\u308c\u305e\u308c\u306e\u30aa\u30eb\u30bd\u30fc\u30de\u30eb\u30d9\u30fc\u30b9\u3067Unity Matrices\u3067\u8868\u3059\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u7121\u9650\u578b\u6a5f\u80fd\u5ba4\u9593\u306e\u5358\u4f4d\u6f14\u7b97\u5b50\u306e\u91cd\u8981\u306a\u4f8b\u306f\u3001\u91cf\u5b50\u529b\u5b66\u306e\u30d5\u30fc\u30ea\u30a8\u5909\u63db\u3068\u6642\u9593\u958b\u767a\u6f14\u7b97\u5b50\u3067\u3059\u3002        (adsbygoogle = window.adsbygoogle || []).push({});after-content-x4\u7d71\u884c\u6f14\u7b97\u5b50\u306f\u3001\u751f\u7269\u306e\u7dda\u5f62\u6f14\u7b97\u5b50\u3067\u3059 t \uff1a \u306e \u2192 \u306e {displaystyletcolon vto w} 2\u3064\u306e\u5922\u306e\u9593 \uff08 \u306e \u3001 \u27e8 de \u3001 de \u27e9 V\uff09\uff09 {displaystyle\uff08v\u3001langle cdot\u3001cdot rangle _ {v}\uff09} \u3068        (adsbygoogle = window.adsbygoogle || []).push({});after-content-x4\uff08 \u306e \u3001 \u27e8 de \u3001 de \u27e9 W\uff09\uff09 {displaystyle\uff08w\u3001langle cdot\u3001cdot rangle _ {w}\uff09} \u3001 \u3068\u306a\u308b\u3053\u3068\u306b\u3088\u3063\u3066 \u27e8 t \u306e \u3001 t \u306e \u27e9W= \u27e8 \u306e \u3001 \u306e \u27e9V{displaystyle langle tu\u3001tvrangle _ {w} = langle u\u3001vrangle _ {v}} \u3059\u3079\u3066\u306e\u30d9\u30af\u30c8\u30eb\u7528 \u306e \u3001 \u306e \u2208 \u306e {displaystyle u\u3001v} \u9069\u7528\u53ef\u80fd\u3067\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u30e6\u30cb\u30c3\u30c8\u30c6\u30a3\u30a2\u30f3\u30aa\u30da\u30ec\u30fc\u30bf\u30fc\u306f\u3001\u30b9\u30ab\u30e9\u30fc\u88fd\u54c1\u304c\u53d7\u3051\u53d6\u308b2\u3064\u306e\u30d8\u30eb\u30d7\u30eb\u30fc\u30e0\u9593\u306e\u540c\u578b\u3067\u3059\u3002 2\u3064\u306e\u5b9f\u969b\u306e\u30d8\u30eb\u30d7\u30eb\u30fc\u30e0\u306e\u9593\u306e\u30e6\u30cb\u30c3\u30c8\u30c6\u30a3\u30a2\u30f3\u30aa\u30da\u30ec\u30fc\u30bf\u30fc\u3082\u6642\u3005 \u76f4\u4ea4\u8005\u30aa\u30da\u30ec\u30fc\u30bf\u30fc \u5c02\u7528\u3002        (adsbygoogle = window.adsbygoogle || []).push({});after-content-x4\u4ee5\u4e0b\u306f\u6dfb\u52a0\u7269\u3067\u3059 \u306e \u3001 \u306e {displaystyle V\u3001w} \u30b9\u30ab\u30e9\u30fc\u88fd\u54c1\u304b\u3089\u9664\u5916\u3055\u308c\u307e\u3057\u305f\u3002\u3053\u308c\u306f\u3001\u5f15\u6570\u304c\u3069\u306e\u7a7a\u9593\u3067\u3042\u308b\u304b\u3092\u660e\u78ba\u306b\u3059\u308b\u305f\u3081\u3067\u3059\u3002 Table of Contents\u57fa\u672c\u7684\u306a\u30d7\u30ed\u30d1\u30c6\u30a3 [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] Operatornorm [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u9006 [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u6b63\u5e38 [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u57fa\u672c\u7684\u306a\u5f62\u6210 [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u57fa\u672c\u7684\u306a\u30d7\u30ed\u30d1\u30c6\u30a3 [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u5404\u30e6\u30cb\u30bf\u30ea\u30a2\u30f3\u30aa\u30da\u30ec\u30fc\u30bf\u30fc\u306f\u3001\u30e6\u30cb\u30bf\u30ea\u30a2\u30f3\u30a4\u30e9\u30b9\u30c8\u3092\u8868\u3057\u3066\u3044\u307e\u3059\uff08\u5b9f\u969b\u306e\u5834\u5408\u306e\u76f4\u4ea4\u56f3\u3067\uff09\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u7dda\u5f62\u6027\u306f\u30b9\u30ab\u30e9\u30fc\u7a4d\u306e\u4fdd\u5b58\u304b\u3089\u7d9a\u304d\u3001\u3057\u305f\u304c\u3063\u3066\u5225\u3005\u306b\u5fc5\u8981\u306f\u3042\u308a\u307e\u305b\u3093\u3002\u30e6\u30cb\u30c3\u30c8\u30c6\u30a3\u30a2\u30f3\u30aa\u30da\u30ec\u30fc\u30bf\u30fc\u306f\u5f15\u304d\u7d9a\u304d\u30d9\u30af\u30bf\u30fc\u306e\u30b9\u30ab\u30e9\u30fc\u88fd\u54c1\u6a19\u6e96\u3092\u53d7\u3051\u53d6\u308a\u307e\u3059\u3002\u3064\u307e\u308a\u3001\u9069\u7528\u3055\u308c\u308b\u3053\u3068\u3092\u610f\u5473\u3057\u307e\u3059 \u2016 t \u306e \u2016 = \u27e8Tv,Tv\u27e9= \u27e8v,v\u27e9= \u2016 \u306e \u2016 {displaystyle TV | = {sqrt {langle tv\u3001tv rangle}} = {sqrt {langle v\u3001vrangle}} = | v |} \u3001 \u305d\u3057\u3066\u30012\u3064\u306e\u30d9\u30af\u30c8\u30eb\u9593\u306e\u8ddd\u96e2\u3002\u30a4\u30e9\u30b9\u30c8 t {displaystylet} \u3057\u305f\u304c\u3063\u3066\u3001\u30a2\u30a4\u30bd\u30e1\u30c8\u30ea\u30fc\u30682\u3064\u306e\u90e8\u5c4b\u3092\u8868\u3057\u307e\u3059 \u306e {displaystyle v} \u3068 \u306e {displaystyle in} \u3057\u305f\u304c\u3063\u3066\u3001\u540c\u578b\u7b49\u5c3a\u6027\u3067\u3059\u3002 Unity\u30aa\u30da\u30ec\u30fc\u30bf\u30fc\u306e\u81ea\u5df1\u4fa1\u5024 t \uff1a \u306e \u2192 \u306e {displaystyletcolon vto v} \u3059\u3079\u3066\u306e\u91cf\u304c\u3042\u308a\u307e\u3059\u3002\u30e6\u30cb\u30c6\u30a2\u30aa\u30da\u30ec\u30fc\u30bf\u30fc\u306e\u30b9\u30da\u30af\u30c8\u30eb\u306f\u3001\u3088\u308a\u4e00\u822c\u7684\u306b\u30e6\u30cb\u30c3\u30c8\u56de\u8def\u306e\u7aef\u306b\u3042\u308a\u307e\u3059\u3002 Operatornorm [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u30e6\u30cb\u30c6\u30a2\u30aa\u30da\u30ec\u30fc\u30bf\u30fc\u306e\u30aa\u30da\u30ec\u30fc\u30bf\u30fc\u5f62\u5f0f\u7528 t {displaystylet} \u30e1\u30f3\u30c6\u30ca\u30f3\u30b9\u306b\u9069\u7528\u3055\u308c\u307e\u3059 \u2016 t \u2016 = sup\u2016v\u2016=1\u2016 t \u306e \u2016 = sup\u2016v\u2016=1\u2016 \u306e \u2016 = \u521d\u3081 {displaystyle | t | = sup _ {| v | = 1} | tv | = sup _ {| v | = 1} | = 1} \u3002 \u3057\u305f\u304c\u3063\u3066\u3001\u30e6\u30cb\u30c3\u30c8\u30c6\u30a3\u30a2\u30f3\u30aa\u30da\u30ec\u30fc\u30bf\u30fc\u306f\u5e38\u306b\u5236\u9650\u3055\u308c\u3066\u3044\u308b\u305f\u3081\u3001\u5b89\u5b9a\u3057\u3066\u3044\u307e\u3059\u3002 \u9006 [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u9006\u6f14\u7b97\u5b50 t \u22121{displaystylet^{ –  1}} Unity\u30aa\u30da\u30ec\u30fc\u30bf\u30fc\u306e t {displaystylet} \u5f7c\u306e\u88dc\u52a9\u3055\u308c\u305f\u30aa\u30da\u30ec\u30fc\u30bf\u30fc\u3068\u540c\u3058\u3067\u3059 t \u2217{displaystylet^{ast}} \u3001 \u307e\u305f T\u22121= T\u2217{displaystyle t^{ –  1} = t^{ast}} \u3001 \u9069\u7528\u3055\u308c\u308b\u304b\u3089\u3067\u3059 \u27e8 \u306e \u3001 T\u2217\u306e \u27e9 = \u27e8 t \u306e \u3001 \u306e \u27e9 = \u27e8 t \u306e \u3001 t T\u22121\u306e \u27e9 = \u27e8 \u306e \u3001 T\u22121\u306e \u27e9 {displaystyle langle u\u3001t^{ast} vrangle = langle tu\u3001vrangle = langle tu\u3001tt^{ –  1} vrangle = langle u\u3001t^{-1} vrangle} \u3002 \u8a69\u306b\u9006\u306b\u6295\u7968\u3057\u3001\u7dda\u5f62\u6f14\u7b97\u5b50\u3092\u4efb\u547d\u3057\u3001\u305d\u308c\u304c\u9069\u7528\u3055\u308c\u308b\u305f\u3081\u3001\u3053\u308c\u306f\u30e6\u30cb\u30c3\u30c8\u30c6\u30a3\u30a2\u30f3\u3067\u3059 \u27e8 t \u306e \u3001 t \u306e \u27e9 = \u27e8 \u306e \u3001 T\u2217t \u306e \u27e9 = \u27e8 \u306e \u3001 T\u22121t \u306e \u27e9 = \u27e8 \u306e \u3001 \u306e \u27e9 {displaystyle langle tu\u3001tvrangle = langle u\u3001t^{ast} tvrangle = langle u\u3001t^{-1} tvrangle = langle u\u3001vrangle} \u3002 \u6b63\u5e38 [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u30a4\u30f3\u30d0\u30fc\u30b5\u30fc\u3068\u30a2\u30c3\u30b8\u30f3\u30b0\u306e\u5408\u610f\u306b\u3088\u308a\u3001\u30e6\u30cb\u30c3\u30c8\u30c6\u30a3\u30a2\u30f3\u30aa\u30da\u30ec\u30fc\u30bf\u30fc\u306f\u4e8b\u4ef6\u306b\u3042\u308a\u307e\u3059 \u306e = \u306e {displaystyle v = w} \u5e38\u306b\u6b63\u5e38\u3067\u3059\u3001\u3064\u307e\u308a T\u2217t = t T\u2217= \u79c1 {displaystyle t^{ast} t = tt^{ast} = i} \u3002 \u30b9\u30da\u30af\u30c8\u30eb\u30bb\u30c3\u30c8\u306f\u3001\u8907\u96d1\u306a\u30d8\u30eb\u30d7\u30eb\u30fc\u30e0\u3068\u672c\u7269\u306e\u30d8\u30eb\u30d7\u30eb\u30fc\u30e0\u3067\u306e\u81ea\u5df1\u80fd\u529b\u306e\u30e6\u30cb\u30bf\u30a4\u30ca\u30aa\u30da\u30ec\u30fc\u30bf\u30fc\u306euintaire\u30aa\u30da\u30ec\u30fc\u30bf\u30fc\u306b\u9069\u7528\u3055\u308c\u307e\u3059\u3002 \u57fa\u672c\u7684\u306a\u5f62\u6210 [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u306f t {displaystylet} \u30e6\u30cb\u30c3\u30c8\u30c6\u30a3\u30a2\u30f3\u30aa\u30da\u30ec\u30fc\u30bf\u30fc\u3067\u3042\u308a\u3001\u305d\u3046\u3067\u3059 \uff08 \u306e i\uff09\uff09 i\u2208I{displaystyle\uff08v_ {i}\uff09_ {iin i}} \u306e\u30d2\u30eb\u30d0\u30fc\u30c8\u30d9\u30fc\u30b9\uff08\u5b8c\u5168\u306a\u30aa\u30eb\u30bd\u30eb\u30de\u30eb\u30b7\u30b9\u30c6\u30e0\uff09\u306e \u306e {displaystyle v} \u3001 \u305d\u308c\u304b\u3089 \uff08 t \u306e i\uff09\uff09 i\u2208I{displaystyle\uff08tv_ {i}\uff09_ {iin i}} \u306e\u30d2\u30eb\u30d9\u30eb\u30c8\u30d9\u30fc\u30b9 \u306e {displaystyle in} \u3001\u305d\u308c\u304c\u9069\u7528\u3055\u308c\u308b\u304b\u3089\u3067\u3059 \u27e8 t vi\u3001 t vj\u27e9 = \u27e8 vi\u3001 vj\u27e9 = \u03b4ij{displaystyle langle tv_ {i}\u3001tv_ {j} rangle = langle v_ {i}\u3001v_ {j} rangle = delta _ {ij}} \u3002 \u305d\u306e\u9006\u3082\u540c\u69d8\u3067\u3059 \uff08 \u306e i\uff09\uff09 i\u2208I{displaystyle\uff08v_ {i}\uff09_ {iin i}} \u3068 \uff08 t \u306e i\uff09\uff09 i\u2208I{displaystyle\uff08tv_ {i}\uff09_ {iin i}} hilbertbasen\u304b\u3089 \u306e {displaystyle v} \u3068 \u306e {displaystyle in} \u305d\u3057\u3066 t {displaystylet} \u7dda\u5f62\u3001\u3053\u308c\u304c\u30e6\u30cb\u30bf\u30eb\u306e\u65b9\u6cd5\u3067\u3059 t {displaystylet} \u3001\u3042\u306a\u305f\u304c\u5f97\u308b\u304b\u3089\u3067\u3059 \u27e8Tu,Tv\u27e9=\u27e8T(\u2211i\u03bbivi),T(\u2211j\u03bcjvj)\u27e9=\u27e8\u2211i\u03bbiTvi,\u2211j\u03bcjTvj\u27e9=\u2211i\u2211j\u03bbi\u03bc\u00afj\u27e8Tvi,Tvj\u27e9==\u2211i\u2211j\u03bbi\u03bc\u00afj\u03b4ij=\u2211i\u2211j\u03bbi\u03bc\u00afj\u27e8vi,vj\u27e9=\u27e8\u2211i\u03bbivi,\u2211j\u03bcjvj\u27e9=\u27e8u,v\u27e9.{displaystyle {begin {aligned} langle tu\u3001tvrangle} t {big\uff08} {jambda _ {i} v_ {i} {j}} mu _ {j} v_ {j} {big\uff09} {big rangle} = {big langle} {i} {i} {i} {i} {i} {i} {i text sum _ {i} le sum _ {j} tv_ {j} {j} {j} {j}} lambda _ {i} {mu}} _ {j} {big langle} tv_ {i}\u3001tv_ {j} {big rangle} = \\\uff06{{j {i {i} {i} {i} {i} {i} {i} {j {i} {j {i} {j {i _ {_ {i}} {j}} lambda _ {i} {j} langle v_ {i}\u3001v_ {j} rangle = {big langle} {textStyle sum _ {i} lambda _ {i} =\u30e9\u30f3\u30b0\u30ebu\u3001vrange .end {aligned}}} \u5f7c\u306e\u30a6\u30a3\u30eb\u30d8\u30eb\u30e0\u3059\u3079\u3066\uff1a \u7dda\u5f62\u95a2\u6570\u5206\u6790\uff1a\u30a2\u30d7\u30ea\u30b1\u30fc\u30b7\u30e7\u30f3\u6307\u5411\u306e\u7d39\u4ecb \u3002\u7b2c5\u7248\u3002 Springer\u30012008\u3001ISBN 3-540-34186-2\u3002  \u30c0\u30fc\u30af\u30fb\u30a6\u30a7\u30eb\u30ca\u30fc\uff1a \u6a5f\u80fd\u7684\u89e3\u6790 \u3002\u7b2c5\u7248\u3002 Springer\u30012005\u3001ISBN 3-540-21381-3\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\/wiki10\/#breadcrumbitem","name":"Enzyklop\u00e4die"}},{"@type":"ListItem","position":2,"item":{"@id":"https:\/\/wiki.edu.vn\/all2jp\/wiki10\/archives\/20128#breadcrumbitem","name":"\u30e6\u30cb\u30c3\u30c8\u30bf\u30ea\u30a2\u30f3\u30aa\u30da\u30ec\u30fc\u30bf\u30fc – \u30a6\u30a3\u30ad\u30da\u30c7\u30a3\u30a2"}}]}]