[{"@context":"http:\/\/schema.org\/","@type":"BlogPosting","@id":"https:\/\/wiki.edu.vn\/all2jp\/wiki11\/archives\/21125#BlogPosting","mainEntityOfPage":"https:\/\/wiki.edu.vn\/all2jp\/wiki11\/archives\/21125","headline":"\u5c04\u5f71\u5ea7\u6a19\u7cfb – \u30a6\u30a3\u30ad\u30da\u30c7\u30a3\u30a2","name":"\u5c04\u5f71\u5ea7\u6a19\u7cfb – \u30a6\u30a3\u30ad\u30da\u30c7\u30a3\u30a2","description":"before-content-x4 a \u5c04\u5f71\u5ea7\u6a19\u7cfb \u3053\u308c\u306b\u3088\u308a\u3001\u5c04\u5f71\u7a7a\u9593\u5185\u306e\u30dd\u30a4\u30f3\u30c8\u306e\u4f4d\u7f6e\u3092\u3001\u5ea7\u6a19\u30d9\u30af\u30c8\u30eb\u3092\u6307\u5b9a\u3059\u308b\u3053\u3068\u306b\u3088\u308a\u3001\u660e\u78ba\u306b\u8aac\u660e\u3067\u304d\u307e\u3059\u3002\u305d\u306e\u7d50\u679c\u3001\u30b8\u30aa\u30e1\u30c8\u30ea\u3068\u7dda\u5f62\u4ee3\u6570\u306e\u6570\u5b66\u7684\u9818\u57df\u3067\u306f\u3001\u5c04\u5f71\u5ba4\u306e\u69cb\u9020\u753b\u50cf\uff08\u3053\u308c\u3089\u306f\u30b3\u30ea\u30cd\u30fc\u30b7\u30e7\u30f3\u3067\u3042\u308a\u3001\u3068\u308a\u308f\u3051\u5c04\u5f71\u30a4\u30e9\u30b9\u30c8\uff09\u3092\u5ea7\u6a19\u95a2\u9023\u306e\u30a4\u30e1\u30fc\u30b8\u30f3\u30b0\u30de\u30c8\u30ea\u30c3\u30af\u30b9\u3067\u63d0\u793a\u3067\u304d\u3001\u5ba4\u306f\u5206\u6790\u7684\u306a\u30b8\u30aa\u30e1\u30c8\u30ea\u306e\u65b9\u6cd5\u3092\u4f7f\u7528\u3057\u3066\u8abf\u3079\u3089\u308c\u307e\u3059\u3002 after-content-x4 \u5c04\u5f71\u7a7a\u9593\u306e\u30dd\u30a4\u30f3\u30c8\u3092\u8a18\u8ff0\u3059\u308b\u5ea7\u6a19\u30d9\u30af\u30c8\u30eb\u306e\u30b3\u30f3\u30dd\u30fc\u30cd\u30f3\u30c8\u306f\u547c\u3070\u308c\u307e\u3059 \u5c04\u5f71\u5ea7\u6a19 \u3002\u3042\u306a\u305f\u3082\u305d\u3046\u3067\u3059 \u5747\u4e00\u306a\u5ea7\u6a19 \u5c02\u7528\u3002 \uff08\u2192\u4e3b\u306a\u8a18\u4e8b\u3067\u306f\u3001\u300c\u5747\u4e00\u306a\u5ea7\u6a19\u300d\u3067\u306f\u3001\u5c04\u5f71\u5ea7\u6a19\u3092\u4f7f\u7528\u3057\u3066\u30a2\u30d5\u30a3\u30f3\u30eb\u30fc\u30e0\u306a\u3069\u306e\u95a2\u9023\u69cb\u9020\u306e\u8981\u7d20\u3092\u8b58\u5225\u3059\u308b\u65b9\u6cd5\u3082\u8aac\u660e\u3055\u308c\u3066\u3044\u307e\u3059\u3002\uff09 \u6709\u9650\u5bf8\u6cd5\u306e\u62bd\u8c61\u7684\u306a\u5c04\u5f71\u7a7a\u9593\u3067 n {displaystyle n} \u5ea7\u6a19\u7cfb\u3092\u901a\u904e\u3057\u307e\u3059 after-content-x4 n + 2","datePublished":"2020-10-11","dateModified":"2020-10-11","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\/a601995d55609f2d9f5e233e36fbe9ea26011b3b","url":"https:\/\/wikimedia.org\/api\/rest_v1\/media\/math\/render\/svg\/a601995d55609f2d9f5e233e36fbe9ea26011b3b","height":"","width":""},"url":"https:\/\/wiki.edu.vn\/all2jp\/wiki11\/archives\/21125","wordCount":17341,"articleBody":"     (adsbygoogle = window.adsbygoogle || []).push({});before-content-x4a \u5c04\u5f71\u5ea7\u6a19\u7cfb \u3053\u308c\u306b\u3088\u308a\u3001\u5c04\u5f71\u7a7a\u9593\u5185\u306e\u30dd\u30a4\u30f3\u30c8\u306e\u4f4d\u7f6e\u3092\u3001\u5ea7\u6a19\u30d9\u30af\u30c8\u30eb\u3092\u6307\u5b9a\u3059\u308b\u3053\u3068\u306b\u3088\u308a\u3001\u660e\u78ba\u306b\u8aac\u660e\u3067\u304d\u307e\u3059\u3002\u305d\u306e\u7d50\u679c\u3001\u30b8\u30aa\u30e1\u30c8\u30ea\u3068\u7dda\u5f62\u4ee3\u6570\u306e\u6570\u5b66\u7684\u9818\u57df\u3067\u306f\u3001\u5c04\u5f71\u5ba4\u306e\u69cb\u9020\u753b\u50cf\uff08\u3053\u308c\u3089\u306f\u30b3\u30ea\u30cd\u30fc\u30b7\u30e7\u30f3\u3067\u3042\u308a\u3001\u3068\u308a\u308f\u3051\u5c04\u5f71\u30a4\u30e9\u30b9\u30c8\uff09\u3092\u5ea7\u6a19\u95a2\u9023\u306e\u30a4\u30e1\u30fc\u30b8\u30f3\u30b0\u30de\u30c8\u30ea\u30c3\u30af\u30b9\u3067\u63d0\u793a\u3067\u304d\u3001\u5ba4\u306f\u5206\u6790\u7684\u306a\u30b8\u30aa\u30e1\u30c8\u30ea\u306e\u65b9\u6cd5\u3092\u4f7f\u7528\u3057\u3066\u8abf\u3079\u3089\u308c\u307e\u3059\u3002        (adsbygoogle = window.adsbygoogle || []).push({});after-content-x4\u5c04\u5f71\u7a7a\u9593\u306e\u30dd\u30a4\u30f3\u30c8\u3092\u8a18\u8ff0\u3059\u308b\u5ea7\u6a19\u30d9\u30af\u30c8\u30eb\u306e\u30b3\u30f3\u30dd\u30fc\u30cd\u30f3\u30c8\u306f\u547c\u3070\u308c\u307e\u3059 \u5c04\u5f71\u5ea7\u6a19 \u3002\u3042\u306a\u305f\u3082\u305d\u3046\u3067\u3059 \u5747\u4e00\u306a\u5ea7\u6a19 \u5c02\u7528\u3002 \uff08\u2192\u4e3b\u306a\u8a18\u4e8b\u3067\u306f\u3001\u300c\u5747\u4e00\u306a\u5ea7\u6a19\u300d\u3067\u306f\u3001\u5c04\u5f71\u5ea7\u6a19\u3092\u4f7f\u7528\u3057\u3066\u30a2\u30d5\u30a3\u30f3\u30eb\u30fc\u30e0\u306a\u3069\u306e\u95a2\u9023\u69cb\u9020\u306e\u8981\u7d20\u3092\u8b58\u5225\u3059\u308b\u65b9\u6cd5\u3082\u8aac\u660e\u3055\u308c\u3066\u3044\u307e\u3059\u3002\uff09 \u6709\u9650\u5bf8\u6cd5\u306e\u62bd\u8c61\u7684\u306a\u5c04\u5f71\u7a7a\u9593\u3067 n {displaystyle n} \u5ea7\u6a19\u7cfb\u3092\u901a\u904e\u3057\u307e\u3059        (adsbygoogle = window.adsbygoogle || []).push({});after-content-x4n + 2 {displaystyle n+2} \u6c7a\u5b9a\u3055\u308c\u305f\u9078\u629e\u3055\u308c\u305f\u57fa\u5e95\u30dd\u30a4\u30f3\u30c8\u306b\u9069\u3057\u3066\u3044\u308b – \u30dd\u30a4\u30f3\u30c8\u306f\u4e00\u822c\u7684\u306a\u5834\u6240\u3067\u9078\u629e\u3055\u308c\u3001\u5c04\u5f71\u57fa\u6e96\u3068\u547c\u3070\u308c\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u6a19\u6e96\u30e2\u30c7\u30eb\u3067\u5341\u5206\u306b\u5341\u5206\u3067\u3042\u308b\u30d9\u30af\u30bf\u30fc\u30d9\u30fc\u30b9\uff08\u30cf\u30e1\u30eb\u30d9\u30fc\u30b9\uff09\u306e\u4ee3\u308f\u308a\u306b\u57fa\u672c\u30dd\u30a4\u30f3\u30c8\u3078\u306e\u53c2\u7167\u306f\u3001\u53c2\u7167\u30b7\u30b9\u30c6\u30e0\u306e\u30e2\u30c7\u30eb\u306b\u4f9d\u5b58\u3057\u306a\u3044\u5e7e\u4f55\u5b66\u7684\u8aac\u660e\u3092\u53ef\u80fd\u306b\u3057\u3001\u5408\u6210\u30b8\u30aa\u30e1\u30c8\u30ea\u3067\u306f\u3001\u3088\u308a\u4e00\u822c\u7684\u306a\u69cb\u9020\uff08\u7279\u306b\u5c04\u5f71\u767a\u751f\u7387\u3067\u3082\u540c\u7b49\u306e\u5ea7\u6a19\u306e\u5c0e\u5165\u3092\u53ef\u80fd\u306b\u3057\u307e\u3059 \u30ec\u30d9\u30eb \uff09\u3001\u30d9\u30af\u30c8\u30eb\u30eb\u30fc\u30e0\u306f\u306a\u304f\u3001\u4f53\u3092\u5ea7\u6a19\u9818\u57df\u3068\u3057\u3066\u5272\u308a\u5f53\u3066\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u305b\u3093\u3002 \u305d\u3046\u3067\u3059 k p n {displaystyle kp^{n}}  n {displaystyle n}  – \u4f53\u4e0a\u306e\u6b21\u5143\u5c04\u5f71\u7a7a\u9593        (adsbygoogle = window.adsbygoogle || []).push({});after-content-x4k {displaystyle k} \u3002 \u30d9\u30af\u30bf\u30fc\u306e\u30d9\u30fc\u30b9\u306b\u306a\u308b\u5c04\u5f71\u30dd\u30a4\u30f3\u30c8 b = \uff08 e\u21920 \u3001 e\u2192\u521d\u3081 \u3001 … \u3001 e\u2192n \uff09\uff09 {displaystyle {mathcal {b}} =\uff08{thing {e}} _ {0}\u3001{thing {e}} _ {1}\u3001ldots\u3001{thing {e}} _ {n}\uff09}}} \u306e k n + \u521d\u3081 {displaystyle k^{n+1}} \u5c5e\u3057\u307e\u3059\u3001\u3059\u306a\u308f\u3061\u3001\u3053\u308c\u3089\u306e\u57fa\u672c\u30d9\u30af\u30c8\u30eb\u306b\u3088\u3063\u3066\u751f\u6210\u3055\u308c\u308b1\u6b21\u5143\u306e\u4e0b\u9762 b j= { r de ej\u2192\uff1a r \u2208 k } ; 0 \u2264 j \u2264 n {displaystyle b_ {j} = lbrace rcdot {vec {e_ {j}}}\uff1a; rin krbrace; quad 0leq jleq n} \u5358\u4f4d\u30dd\u30a4\u30f3\u30c8\u3068\u4e00\u7dd2\u306b\u5f62\u6210\u3057\u307e\u3059 \u3068 = b n+1= { r de \uff08 e\u21920+e\u21921+\u22efe\u2192n\uff09\uff09 \uff1a r \u2208 k } {displaystyle e = b_ {n+1} = lbrace rcdot left\uff08{vec {e}} _ {0}+{vec {e}} _ {1}+cdots {vec {e}}} _ {n}\u53f3\uff09:; rin krbrace} \u5c04\u5f71\u30d9\u30fc\u30b9\uff08\u307e\u305f\uff1a\u5c04\u5f71\u70b9\u5869\u57fa\uff09 Bp = \uff08 b 0 \u3001 b \u521d\u3081 \u3001 … \u3001 b n \u3001 b n + \u521d\u3081 \uff09\uff09 {displaystyle {mathcal {b}} _ {p} =\uff08b_ {0}\u3001b_ {1}\u3001ldots\u3001b_ {n}\u3001b_ {n+1}\uff09} \u5c04\u5f71\u7a7a\u9593\u306e k p n {displaystyle kp^{n}} \u3002 \u306b\u6cbf\u3063\u3066\u30b9\u30e9\u30a4\u30c8\u3059\u308b\u3053\u3068\u306b\u3088\u3063\u3066 b \u521d\u3081 \u3001 … \u3001 b n {displaystyle b_ {1}\u3001ldots\u3001b_ {n}} \u30a8\u30ad\u30b5\u30a4\u30c6\u30a3\u30f3\u30b0\u306a\u5c04\u5f71\u30cf\u30a4\u30d1\u30fc\u30d9\u30f3\u306f\u3001\u30a2\u30d5\u30a3\u30f3\u7a7a\u9593\u304c\u5f97\u3089\u308c\u307e\u3059 a {displaystyle {mathcal {a}}} \u3002\u3053\u308c\u3067 \u3068 {displaystyle e} \u30bc\u30ed\u30dd\u30a4\u30f3\u30c8\u3002\u79c1\u305f\u3061\u306f\u8003\u616e\u3057\u307e\u3059 \u79c1 = \u521d\u3081 \u3001 … \u3001 n {displaystyle i = 1\u3001ldots\u3001n} \u4ea4\u5dee\u70b9 \u3068 \u79c1 {displaystyle e_ {i}} \u30b9\u30c8\u30ec\u30fc\u30c8 \u3068 b \u79c1 {displaystyle eb_ {i}} \u30cf\u30a4\u30d1\u30fc\u30d9\u30eb\u3068\u4e00\u7dd2\u306b b 0 \u3001 … \u3001 b \u79c1  –  \u521d\u3081 \u3001 b \u79c1 + \u521d\u3081 \u3001 … \u3001 b n {displaystyle b_ {0}\u3001ldots\u3001b_ {i-1}\u3001b_ {i+1}\u3001ldots\u3001b_ {n}} \u3002\u3053\u308c\u3089\u306e\u30dd\u30a4\u30f3\u30c8 { E1\u3001 … \u3001 En} {displaystyle\u5de6{e_ {1}\u3001ldots\u3001e_ {n}\u53f3}}} \u30bc\u30ed\u30dd\u30a4\u30f3\u30c8\u3067\u30d5\u30a9\u30fc\u30e0 \u3068 {displaystyle e} \u306e\u30a2\u30d5\u30a3\u30f3\u306e\u57fa\u790e a {displaystyle {mathcal {a}}} \u3002\u3053\u306e\u57fa\u790e\u306b\u3088\u308a\u3001\u8abf\u6574\u3092\u63d0\u643a\u3067\u304d\u307e\u3059 \uff08 \u30d0\u30c4 \u521d\u3081 \u3001 … \u3001 \u30d0\u30c4 n \uff09\uff09 {displaystyle\uff08x_ {1}\u3001ldots\u3001x_ {n}\uff09} \u306e a {displaystyle {mathcal {a}}} \u9078\u629e\u3057\u305f\u5c04\u5f71\u57fa\u6e96\u306b\u95a2\u3059\u308b\u5b9a\u7fa9\u304a\u3088\u3073\u5c04\u5f71\u5ea7\u6a19\u306f\u3001\u5b9a\u7fa9\u4e0a\u3001 \uff08 \u521d\u3081 ; \u30d0\u30c4 \u521d\u3081 ; … ; \u30d0\u30c4 n \uff09\uff09 {displaystyle\uff081; x_ {1}; ldots; x_ {n}\uff09} \u3002 \u305d\u308c\u306f\u90e8\u5c4b\u306b\u306a\u308a\u307e\u3059 k p 2 {displaystyle kp^{2}} \u6a19\u6e96\u30d9\u30fc\u30b9\u3067 b 0= [ 1:0:0] \u3001 b 1= [ 0:1:0] \u3001 b 2= [ 0:0:1] \u3001 b 3= [ 1:1:1] {displaystyle b_ {0} = left [1\uff1a0\uff1a0right]\u3001b_ {1} = left [0\uff1a1\uff1a0right]\u3001b_ {2} = left [0\uff1a0\uff1a1 right]\u3001b_ {3} = left [1\uff1a1\uff1a1 right]} \u898b\u305f\u3002\u305d\u306e\u5f8c\u3001\u5c04\u5f71\u7dda\u304c\u3042\u308a\u307e\u3059 b 3b 1= { [1:1+s:1]\u2223s\u2208K} \u222a { B1} {displaystyle b_ {3} b_ {1} =\u5de6{\u5de6[1\uff1a1+s\uff1a1\u30e9\u30a4\u30c8]\u30df\u30c3\u30c9\u30b7\u30f3kright}\u5de6{b_ {1}\u53f3}}}} \u3068 b 0b 2= { [t:0:1\u2212t]\u2223t\u2208K} {displaystyle b_ {0} b_ {2} =\u5de6{\u5de6[t\uff1a0\uff1a1-tright] mid tin kright}}} \u4ea4\u5dee\u70b9 \u3068 \u521d\u3081 = [ \u521d\u3081 \uff1a 0 \uff1a \u521d\u3081 ] {displaystyle e_ {1} = left [1\uff1a0\uff1a1 right]} \u305d\u3057\u3066\u5c04\u5f71\u7dda b 3b 2= { [1:1:1+s]\u2223s\u2208K} \u222a { B2} {displaystyle b_ {3} b_ {2} =\u5de6{\u5de6[1\uff1a1\uff1a1+sright] mid sin kright}\u5de6{b_ {2}\u53f3}}} \u3068 b 0b 1= { [t:1\u2212t:0]\u2223t\u2208K} {displaystyle b_ {0} b_ {1} =\u5de6{\u5de6[t\uff1a1-t\uff1a0right] mid tin kright}}} \u4ea4\u5dee\u70b9 \u3068 2 = [ \u521d\u3081 \uff1a \u521d\u3081 \uff1a 0 ] {displaystyle e_ {2} = left [1\uff1a1\uff1a0right]} \u3002\u30dd\u30a4\u30f3\u30c8\u306e\u5c04\u5f71\u5ea7\u6a19 [ \u30d0\u30c4 \uff1a \u3068 \uff1a \u3068 ] {displaystyle\u5de6[x\uff1ay\uff1azright]} \u305d\u306e\u5f8c \uff08 \u521d\u3081 ; yx; zx\uff09\uff09 {displaystyle\uff081; {tfrac {y} {x}}; {tfrac {z} {x}}\uff09} \u305f\u3081\u306b \u30d0\u30c4 \u2260 0 {displaystyle xnot = 0} \u3002  \u5c04\u5f71\u30dd\u30a4\u30f3\u30c8\u30d9\u30fc\u30b9 \uff08 B0\u3001 B1\u3001 B2\u3001 \u3068 \uff09\uff09 {displaystyle\uff08b_ {0}\u3001b_ {1}\u3001b_ {2}\u3001e\uff09} \uff08\u8d64\uff09\u660e\u78ba\u306a\u30a2\u30d5\u30a3\u30f3\u30dd\u30a4\u30f3\u30c8\u30d9\u30fc\u30b9\u3092\u6c7a\u5b9a\u3057\u307e\u3059 \uff08 o = B0\u3001 E1\u3001 E2\uff09\uff09 {displaystyle\uff08o = b_ {0}\u3001e_ {1}\u3001e_ {2}\uff09} \uff08\u7dd1\uff09\u3001\u63a5\u7d9a\u304c\u76f4\u7dda \u306e = B1B2{displaystyle u = b_ {1} b_ {2}} \u9577\u3044\u8ddd\u96e2\u306b\u306a\u308a\u307e\u3059\u3002 \u3044\u305a\u308c\u306b\u305b\u3088\u3001\u975e\u6368\u3066\u306e\u5c04\u5f71\u30ec\u30d9\u30eb\u3067\u306f\u3001\u30a2\u30d5\u30a3\u30f3\u5ea7\u6a19\u306e\u52a9\u3051\u3092\u501f\u308a\u3066\u3001\u5c04\u5f71\u57fa\u6e96\u306e\u52a9\u3051\u3092\u501f\u308a\u3066\u5c04\u5f71\u5ea7\u6a19\u3092\u5c0e\u5165\u3067\u304d\u307e\u3059\u3002 \u5c04\u5f71\u30ec\u30d9\u30eb\u3067\u306f\u3001\u6700\u521d\u306b\u5c04\u5f71\u7684\u6839\u62e0\u304c\u306a\u3051\u308c\u3070\u306a\u308a\u307e\u305b\u3093 \uff08 b 0 \u3001 b \u521d\u3081 \u3001 b 2 \u3001 \u3068 \uff09\uff09 {displaystyle\uff08b_ {0}\u3001b_ {1}\u3001b_ {2}\u3001e\uff09} \u3064\u307e\u308a\u30014\u3064\u306e\u30dd\u30a4\u30f3\u30c8\u306e\u3046\u30613\u3064\u304c\u4e00\u822c\u7684\u306a\u30b9\u30c8\u30ec\u30fc\u30c8\u306b\u3042\u308b\u3068\u8a00\u308f\u308c\u3066\u3044\u308b\u308f\u3051\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u3002\u30dd\u30a4\u30f3\u30c8 b 0 {displaystyle b_ {0}} \u8d77\u6e90\u306b\u306a\u308a\u307e\u3059 o = b 0 {displaystyle o = b_ {0}} \u30a2\u30d5\u30a3\u30f3\u5ea7\u6a19\u7cfb\u306e\u63a5\u7d9a\u30b9\u30c8\u30ec\u30fc\u30c8 b 0 b \u521d\u3081 {displaystyle b_ {0} b_ {1}} \u5f7c\u306e\u6700\u521d\u306b\u3001 b 0 b 2 {displaystyle b_ {0} b_ {2}} \u5f7c\u306e2\u756a\u76ee\u306e\u5ea7\u6a19\u8ef8\u306b\u3002\u6700\u521d\u306b\u5c04\u5f71\u4ea4\u5dee\u70b9 \u3068 \u521d\u3081 = \u3068 b 2 \u2229 o b \u521d\u3081 {displaystyle e_ {1} = eb_ {2} cap ob_ {1}} \u3068 \u3068 2 = \u3068 b \u521d\u3081 \u2229 o b 2 {displaystyle e_ {2} = eb_ {1} cap ob_ {2}} \u3053\u308c\u3089\u306e\u8ef8\u306e\u5358\u4f4d\u30dd\u30a4\u30f3\u30c8\u306a\u306e\u3067\u3001 \uff08 o \u3001 \u3068 \u521d\u3081 \u3001 \u3068 2 \uff09\uff09 {displaystyle\uff08o\u3001e_ {1}\u3001e_ {2}\uff09} \u30a2\u30d5\u30a3\u30f3\u30ec\u30d9\u30eb\u306e\u30a2\u30d5\u30a3\u30f3\u30dd\u30a4\u30f3\u30c8\u30d9\u30fc\u30b9\u3002 \u306e = b \u521d\u3081 b 2 {displaystyle u = b_ {1} b_ {2}} \u767a\u751f\u3057\u307e\u3059\u3002\u3053\u308c\u306f\u73fe\u5728\u3001\u30a2\u30d5\u30a3\u30f3\u30ec\u30d9\u30eb\u306e\u30ea\u30e2\u30fc\u30c8\u30e9\u30a4\u30f3\u306b\u306a\u308a\u3064\u3064\u3042\u308a\u307e\u3059\u3002\u53f3\u5074\u306e\u30a4\u30e9\u30b9\u30c8\u3082\u53c2\u7167\u3057\u3066\u304f\u3060\u3055\u3044\u3002 \u3053\u306e\u65b9\u6cd5\u3067\u6c7a\u5b9a\u3055\u308c\u308b\u5ea7\u6a19\u306f\u3001 \u306e {displaystyleu} \u660e\u3089\u304b\u306b\u3001\u30dd\u30a4\u30f3\u30c8\u306e\u5834\u5408 \u306e {displaystyleu} \u8ffd\u52a0\u306e\u5951\u7d04\u306b\u3088\u3063\u3066\u9054\u6210\u3067\u304d\u307e\u3059\u3002\u305d\u308c\u3089\u306f\u4e00\u822c\u7684\u306b\u5747\u8cea\u3067\u306f\u3042\u308a\u307e\u305b\u3093\uff1a\u5ea7\u6a19\u9818\u57df\u5185 k {displaystyle k} \u305d\u308c\u306f\u30bf\u30fc\u30cd\u30eb\u4f53\u3067\u3042\u308a\u3001\u4e00\u822c\u306b\u300c\u7b4b\u8089\u683d\u57f9\u300d\u3092\u5b9a\u7fa9\u3059\u308b\u3053\u3068\u306f\u3067\u304d\u307e\u305b\u3093\u3002 Table of Contents\u30a4\u30e9\u30b9\u30c8 [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u4e8c\u91cd\u95a2\u4fc2 [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u30d1\u30e9\u30e1\u30fc\u30bf\u30fc\u65b9\u7a0b\u5f0f [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u65b9\u7a0b\u5f0f\u3068\u8a87\u5f35\u3092\u8abf\u6574\u3057\u307e\u3059 [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u5c04\u5f71\u5ba4\u306e\u4e8c\u91cd\u6027 [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] 3\u6b21\u5143\u306e\u4f8b [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u30a4\u30e9\u30b9\u30c8 [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u3082\u3057\u3082 p {displaystyle p} \u3068 Q {displaystyle q} \u5bf8\u6cd5\u306e\u5c04\u5f71\u5ba4 n {displaystyle n} \u307e\u305f\u3002 m {displaystyle m} \u3057\u3063\u304b\u308a\u3057\u305f\u4f53\u306b\u3064\u3044\u3066 k {displaystyle k} \u305d\u306e\u5f8c\uff1a \u3059\u3079\u3066\u306e\u5c04\u5f71\u30a4\u30e9\u30b9\u30c8 pi {displaystylepi} \u304b\u3089 p {displaystyle p} \u5f8c Q {displaystyle q} \u6c38\u4e45\u306b\u9078\u629e\u3055\u308c\u305f\u30d7\u30ed\u30b8\u30a7\u30af\u30c8\u30d9\u30fc\u30b9\u306e\u89b3\u70b9\u304b\u3089 p {displaystyle p} \u3068 Q {displaystyle q} \u63cf\u5199 pi \uff1a [x0,\u2026,xn]T\u2192 [(A\u22c5(x0,\u2026,xn)T)]T{displaystyle pi colon\u5de6[x_ {0}\u3001ldots\u3001x_ {n}\u53f3]^{t} rightArrow\u5de6[\uff08x_ {0}\u3001ldots\u3001x_ {n}\uff09^{t}\uff09\u53f3]^{t}}} \u3002\u30a4\u30e9\u30b9\u30c8\u30de\u30c8\u30ea\u30c3\u30af\u30b9 a {displaystyle a} \u3082\u3063\u3066\u3044\u308b n + \u521d\u3081 {displaystyle n+1} \u7dda\u3068 m + \u521d\u3081 {displaystyle m+1} \u5206\u5272\u3055\u308c\u3001\u30b9\u30ab\u30e9\u30fc\u4fc2\u6570\u3092\u9664\u304f r \u2208 k \u2216 { 0 } {displaystyle rin ksetminus lbrace {0} rbrace} \u306f\u3063\u304d\u308a\u3068\u6c7a\u307e\u3063\u3066\u3044\u307e\u3059\u3002 \u3042\u306a\u305f\u306f\u3059\u3079\u3066\u306e\u30dd\u30a4\u30f3\u30c8\u306b\u884c\u304f\u3053\u3068\u3092\u9078\u629e\u3057\u307e\u3059 b j\uff08 0 \u2264 j \u2264 n + \u521d\u3081 \uff09\uff09 {displaystyle b_ {j}\uff080leq jleq n+1\uff09} \u306e\u5c04\u5f71\u30dd\u30a4\u30f3\u30c8\u30d9\u30fc\u30b9 p {displaystyle p} \u307e\u305f\u306f\u76f8\u5f53\u3057\u307e\u3059 n + 2 {displaystyle n+2} \u4e00\u822c\u7684\u306a\u5834\u6240\u3001\u5404\u30d4\u30af\u30bb\u30dd\u30a4\u30f3\u30c8\u306e\u30dd\u30a4\u30f3\u30c8 c j\u2208 Q {displaystyle c_ {j} in q} \u3001\u3053\u308c\u306f\u3067\u304d\u307e\u3059 \u660e\u3089\u304b\u306b \u5c04\u5f71\u30a4\u30e9\u30b9\u30c8\u306b pi \uff1a p \u2192 Q {displaystyle pi\u30b3\u30ed\u30f3prightarrow q}  \u7d9a\u304f \u3001\u305d\u308c\u3067\u3069\u3061\u3089\u3067 pi \uff08 b j\uff09\uff09 = c j{displaystyle pi\uff08b_ {j}\uff09= c_ {j}}} \u3059\u3079\u3066\u306e\u30d9\u30fc\u30b9\u30dd\u30a4\u30f3\u30c8\u306b\u9069\u7528\u3055\u308c\u307e\u3059\u3002 \u3059\u3079\u3066\u306e\u5c04\u5f71 pi {displaystylepi} \u306e\u4e0a p {displaystyle p} \u6c38\u4e45\u306b\u9078\u629e\u3055\u308c\u305f\u5c04\u5f71\u70b9\u30d9\u30fc\u30b9\u306e\u89b3\u70b9\u304b\u3089 p {displaystyle p} \u63cf\u5199 pi \uff1a [x0,\u2026,xn]T\u2192 [(A\u22c5(x0,\u2026,xn)T)]T{displaystyle pi colon\u5de6[x_ {0}\u3001ldots\u3001x_ {n}\u53f3]^{t} rightArrow\u5de6[\uff08x_ {0}\u3001ldots\u3001x_ {n}\uff09^{t}\uff09\u53f3]^{t}}} \u3002\u6b63\u65b9\u5f62\u3001\u30ec\u30ae\u30e5\u30e9\u30fc \uff08 n + \u521d\u3081 \uff09\uff09 \u00d7 \uff08 n + \u521d\u3081 \uff09\uff09 {displaystyle\uff08n+1\uff09\u56de\uff08n+1\uff09} \u30a4\u30e9\u30b9\u30c8\u30de\u30c8\u30ea\u30c3\u30af\u30b9 a {displaystyle a} \u30b9\u30ab\u30e9\u30fc\u56e0\u5b50\u3092\u9664\u304f r \u2208 k \u2216 { 0 } {displaystyle rin ksetminus lbrace {0} rbrace} \u306f\u3063\u304d\u308a\u3068\u6c7a\u307e\u3063\u3066\u3044\u307e\u3059\u3002 \u306b n + 2 {displaystyle n+2} \u30dd\u30a4\u30f3\u30c8\u30dd\u30a4\u30f3\u30c8 b j\uff08 0 \u2264 j \u2264 n + \u521d\u3081 \uff09\uff09 {displaystyle b_ {j}\uff080leq jleq n+1\uff09} \u4e00\u822c\u7684\u306a\u5834\u6240\u3068 n + 2 {displaystyle n+2} \u30d4\u30af\u30bb\u30eb c j\uff08 0 \u2264 j \u2264 n + \u521d\u3081 \uff09\uff09 {displaystyle c_ {j}\uff080leq jleq n+1\uff09} \u4e00\u822c\u7684\u306a\u5834\u6240\u306b\u306f\u3001\u3061\u3087\u3046\u30691\u3064\u306e\u5c04\u5f71\u304c\u3042\u308a\u307e\u3059 pi {displaystylepi} \u306e\u4e0a p {displaystyle p} \u3001 \u306e\u4e2d\u306b pi \uff08 b j\uff09\uff09 = c j\u3001 \uff08 0 \u2264 j \u2264 n + \u521d\u3081 \uff09\uff09 {displaystyle pi\uff08b_ {j}\uff09= c_ {j}\u3001\uff080leq jleq n+1\uff09}} \u306f\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u5c04\u5f71\u7dda\u5f62\u30b0\u30eb\u30fc\u30d7\u306f\u307e\u305f PGL \u2061 \uff08 n + \u521d\u3081 \u3001 k \uff09\uff09 {displaystyle operatorname {pgl}\uff08n+1\u3001k\uff09} \u5358\u7d14\u306b\u4e00\u6642\u7684\u306b\u92ed\u304f\u52d5\u4f5c\u3057\u307e\u3059 n + 2 {displaystyle n+2}  – \u4e00\u822c\u7684\u306a\u5834\u6240\u306b\u3042\u308b\u30dd\u30a4\u30f3\u30c8\u306etupel\u3002 \u5bf8\u6cd5\u3067\u3059 n \u2265 2 {displaystyle ngeq 2} \u3001\u305d\u308c\u304b\u3089\u3059\u3079\u3066\u306e\u30b3\u30ea\u30cd\u30fc\u30b7\u30e7\u30f3\u304c\u53ef\u80fd\u306b\u306a\u308a\u307e\u3059 k {displaystyle kappa} \u306e\u4e0a p {displaystyle p} \u56fa\u5b9a\u5c04\u5f71\u57fa\u6e96\u306b\u3064\u3044\u3066 p {displaystyle p} \u69cb\u6210\u3068\u3057\u3066 k = pi \u2218 a {displaystyle kappa = pi circ sigma} \u5c04\u5f71\u3092\u4f34\u3046 pi {displaystylepi} \u305d\u3057\u3066\u81ea\u52d5\u5316 a {displaystyle sigma} \u4f53\u306e k {displaystyle k} \u4ee3\u8868\u3059\u308b\u3002 \u4e8c\u91cd\u95a2\u4fc2 [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] 4\u3064\u306e\u5171\u7dda\u30dd\u30a4\u30f3\u30c8\u306e\u4e8c\u91cd\u95a2\u4fc2 p \u3001 Q \u3001 r \u3001 s {displaystyle P\u3001Q\u3001R\u3001S} \u5c04\u5f71\u7a7a\u9593\u306b\u306f\u3001\u5c04\u5f71\u5ea7\u6a19\u306e\u5358\u7d14\u306a\u95a2\u4fc2\u304c\u305d\u306e\u30dd\u30a4\u30f3\u30c8\u3067\u3059 p {displaystyle p} \u4ed6\u306e3\u3064\u306e\u30dd\u30a4\u30f3\u30c8\u3092\u5171\u901a\u30b9\u30c8\u30ec\u30fc\u30c8\u306e\u30dd\u30a4\u30f3\u30c8\u30d9\u30fc\u30b9\u3068\u3057\u3066\u9078\u629e\u3057\u307e\u3057\u305f\u3002\u3042\u308b b 0 = r \u3001 b \u521d\u3081 = s {displaystyle b_ {0} = r ,, b_ {1} = s} \u57fa\u5e95\u30dd\u30a4\u30f3\u30c8\u3068 \u3068 = b 2 = Q {displaystyle e = b_ {2} = q} \u5ea7\u6a19\u7cfb\u306e\u5358\u4f4d\u70b9\u3002\u4eca\u6301\u3063\u3066\u3044\u307e\u3059 p {displaystyle p} \u3053\u306e\u30b7\u30b9\u30c6\u30e0\u306b\u95a2\u3057\u3066\u306f\u3001\u5ea7\u6a19\u30d7\u30ec\u30bc\u30f3\u30c6\u30fc\u30b7\u30e7\u30f3 p = [ p0; p1] {displaystyle p =\u5de6[p_ {0}; p_ {1}\u53f3]} \u3001\u6b21\u306b\u3001\u4e8c\u91cd\u306e\u95a2\u4fc2\u306b\u9069\u7528\u3057\u307e\u3059\u3002 t = DV \u2061 \uff08 p Q r s \uff09\uff09 = p1p0{displaystyle t = operatorname {dv}\uff08pqrs\uff09= {tfrac {p_ {1}} {p_ {0}}}}} \u3002\u3053\u306e\u63a5\u7d9a\u306f\u3001\u4e8c\u91cd\u306e\u95a2\u4fc2\u304c\u3042\u308b\u7406\u7531\u306e1\u3064\u3067\u3059 t \u2208 k \u222a { \u221e } {displaystyletin kcup lbrace infty rbrace} \u307e\u305f\u3001\u6642\u3005 \u4e0d\u5747\u4e00\u306a\u5ea7\u6a19\u30d7\u30ed\u30b8\u30a7\u30af\u30c8 \u304b\u3089 p {displaystyle p} \uff08\u4e8c\u91cd\u95a2\u4fc2\u306b\u3042\u308b\u4ed6\u306e\u30dd\u30a4\u30f3\u30c8\u306b\u95a2\u3057\u3066\uff09\u3002 [\u521d\u3081] \u30d1\u30e9\u30e1\u30fc\u30bf\u30fc\u65b9\u7a0b\u5f0f [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] 2\u3064\u306e\u7570\u306a\u308b\u30dd\u30a4\u30f3\u30c8\u306e\u63a5\u7d9a\u30b9\u30c8\u30ec\u30fc\u30c8 a = [ a0;a1;\u2026an] {displaystyle a = left [a_ {0}; a_ {1}; ldots a_ {n} right]}} \u3068 b = [ b0;b1;\u2026bn] {displaystyle b = left [b_ {0}; b_ {1}; ldots b_ {n} right]}} \u5747\u4e00\u306a\u30d1\u30e9\u30e1\u30fc\u30bf\u30fc\u30d7\u30ec\u30bc\u30f3\u30c6\u30fc\u30b7\u30e7\u30f3\u304c\u3042\u308a\u307e\u3059 \u27e8 a \u3001 b \u27e9 \uff1a x\u2192= a de (a0a1\u22eean)+ b de (b0b1\u22eebn){displaystyle langle A,Brangle :;{vec {x}}=alpha cdot {begin{pmatrix}a_{0}\\a_{1}\\vdots \\a_{n}end{pmatrix}}+beta cdot {begin{pmatrix}b_{0}\\b_{1}\\vdots \\b_{n}end{pmatrix}}} \u6b21\u306b\u3067\u3059 x\u2192{displaystyle {vec {x}}} \u305f\u3081\u306b \uff08 a ; b \uff09\uff09 \u2208 k 2 \u2216 { 0 } {displaystyle\uff08alpha; beta\uff09in k^{2} setminus lbrace 0rbrace} \u30b9\u30c8\u30ec\u30fc\u30c8\u30dd\u30a4\u30f3\u30c8\u306e\u5c04\u5f71\u5ea7\u6a19 \u30d0\u30c4 = [ x\u2192T] {displaystyle x = left [{vec {x}}^{\u3001t}\u53f3]}  \u306e\u63a5\u7d9a\u7a7a\u9593 k {displaystyle k} \u30b9\u30b3\u30a2 a j= [ a\u2192jT] ; \u521d\u3081 \u2264 j \u2264 k {displaystyle a_ {j} = left [{vec {a}} _ {j}}^{t} right] ;; 1leq jleq k} \u305d\u306e\u5ea7\u6a19\u30d9\u30af\u30c8\u30eb\u306f\u7dda\u5f62\u304b\u3089\u72ec\u7acb\u3057\u3066\u3044\u307e\u3059 k  –  \u521d\u3081 {displaystyle k-1}  – \u30d1\u30e9\u30e1\u30fc\u30bf\u30fc\u8868\u73fe\u3092\u5099\u3048\u305f\u5c04\u5f71\u7a7a\u9593\u306e\u6b21\u5143\u30b5\u30d6\u30b9\u30da\u30fc\u30b9 \u27e8 a 1\u3001 a 2\u3001 … a k\u27e9 \uff1a x\u2192= \u2211 j=1ka ja\u2192j; \uff08 a 1\u3001 a 2\u3001 … a k\uff09\uff09 \u2208 k k\u2216 { 0 } \u3002 {displaystyle langle a_ {1}\u3001a_ {2}\u3001ldots a_ {k} rangle\uff1a{vec {x}} = sum _ {j = 1}^{k} alpha _ {j} {vec {a}}} _ {j} pha _ {k}\uff09in k^{k} setminus lbrace 0rbrace\u3002} \u65b9\u7a0b\u5f0f\u3068\u8a87\u5f35\u3092\u8abf\u6574\u3057\u307e\u3059 [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u5c04\u5f71\u30dd\u30a4\u30f3\u30c8\u30d9\u30fc\u30b9\u3092\u9078\u629e\u3057\u305f\u5f8c Bp {displaystyle {mathcal {b}} _ {p}} 1\u3064 n {displaystyle n}  – \u6b21\u5143\u5c04\u5f71\u7a7a\u9593 p {displaystyle {mathcal {p}}} \u3042\u306a\u305f\u306f\u3059\u3079\u3066\u306e\u30dd\u30a4\u30f3\u30c8\u3092\u884c\u3046\u3053\u3068\u304c\u3067\u304d\u307e\u3059 p = [ p0; p1; … pn] {displaystyle p = left [p_ {0}; p_ {1}; ldots p_ {n} right]}} \u660e\u3089\u304b\u306b \u30b3\u30fc\u30c7\u30a3\u30cd\u30fc\u30c8\u65b9\u7a0b\u5f0f  p 0 de \u30d0\u30c4 0 + p \u521d\u3081 de \u30d0\u30c4 \u521d\u3081 + \u22ef + p n de \u30d0\u30c4 n = 0 {displaystyle p_ {0} cdot x_ {0}+p_ {1} cdot x_ {1}+cdots+p_ {n} cdot x_ {n} = 0;} \u30dd\u30a4\u30f3\u30c8\u5ea7\u6a19\u3068\u3057\u3066\u3001\u305d\u306e\u30bd\u30ea\u30e5\u30fc\u30b7\u30e7\u30f3\u6570\u91cf\u30921\u3064\u306b\u5272\u308a\u5f53\u3066\u307e\u3059 n  –  \u521d\u3081 {displaystyle n-1}  – \u6b21\u5143\u306e\u30b5\u30d6\u30b9\u30da\u30fc\u30b9 p {displaystyle {mathcal {p}}} \u3001\u3064\u307e\u308a\u3001\u8a87\u5f35\u53ef\u80fd\u306a\u30ec\u30d9\u30eb\u306b\u3064\u3044\u3066\u8aac\u660e\u3057\u307e\u3059\u3002\u65b9\u7a0b\u5f0f\u306f\u5747\u4e00\u3067\u3042\u308b\u305f\u3081\u3001\u540c\u3058\u30b9\u30ab\u30e9\u30fc\u3067\u3059\u3079\u3066\u306e\u5ea7\u6a19\u3092\u5b9f\u884c\u3057\u3066\u3082\u30bd\u30ea\u30e5\u30fc\u30b7\u30e7\u30f3\u306f\u5909\u308f\u308a\u307e\u305b\u3093 r \u2208 k \u2217 {displaystyle rin k^{*}} \u4e57\u7b97\u3059\u308b\u3068\u3001\u8a87\u5f35\u53ef\u80fd\u306a\u30ec\u30d9\u30eb\u306f\u30dd\u30a4\u30f3\u30c8\u306e\u307f\u306b\u4f9d\u5b58\u3057\u307e\u3059 p {displaystyle p} \u9078\u629e\u3057\u305f\u5c04\u5f71\u5ea7\u6a19\u7cfb\u3002\u5ea7\u6a19\u30d9\u30af\u30c8\u30eb\u304c\u547c\u3073\u51fa\u3055\u308c\u307e\u3059 p d = [ p0;p1;\u2026pn] d {displaystyle p^{d} = left [p_ {0}; p_ {1}; ldots p_ {n}\u53f3]^{d}} \u3044\u3064 Hyperebenenkoordinaten \u3053\u306e\u30cf\u30a4\u30d1\u30fc\u30dc\u30fc\u30f3\u306e\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u90e8\u5c4b\u306e\u3059\u3079\u3066\u306e\u30dd\u30a4\u30f3\u30c8\u306f\u4e8c\u91cd\u5316\u306b\u3088\u308b\u3082\u306e\u3067\u3059 p \u2192 p d {displaystyle prightarrow p^{d}} \u9ad8\u5ea6\u306a\u30ec\u30d9\u30eb\u3092\u4e00\u610f\u306b\u5272\u308a\u5f53\u3066\u307e\u3057\u305f\u3002 \u5c04\u5f71\u5ba4\u306e\u4e8c\u91cd\u6027 [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u30cf\u30a4\u30d1\u30fc\u30ec\u30d9\u30eb\u3078\u306e\u30dd\u30a4\u30f3\u30c8\u306e\u30c7\u30e5\u30a2\u30eb\u5272\u308a\u5f53\u3066\u306f\u3001\u5c04\u5f71\u7a7a\u9593\u306e\u5c04\u5f71\u30b5\u30d6\u30b9\u30da\u30fc\u30b9\u306e\u95a2\u9023\u4ed8\u3051\u306e\u4e8c\u91cd\u6027\u306b\u62e1\u5f35\u3067\u304d\u307e\u3059\u3002\u6b21\u306e\u5272\u308a\u5f53\u3066\u304c\u9069\u7528\u3055\u308c\u307e\u3059\u3002 \u4e8c\u91cd\u5316\u304c\u95a2\u4fc2\u3057\u3066\u3044\u308b\u305f\u3081\u3001\u5272\u308a\u5f53\u3066\u3082\u7406\u89e3\u3055\u308c\u308b\u3079\u304d\u3067\u3059\u3002\u30c7\u30e5\u30a2\u30eb\u306f\u30cf\u30a4\u30d1\u30fc\u30c6\u30a4\u30f3\u30ec\u30d9\u30eb\u306b\u5bfe\u5fdc\u3057\u307e\u3059\u3002\u5177\u4f53\u7684\u306a\u4e8c\u91cd\u5316\u306f\u9078\u629e\u3055\u308c\u305f\u5ea7\u6a19\u7cfb\u306b\u4f9d\u5b58\u3057\u307e\u3059\u304c\u3001\u4e00\u822c\u7684\u306a\u6587\u306f\u5f71\u97ff\u3092\u53d7\u3051\u307e\u305b\u3093\u3002 \u5c04\u5f71\u5e7e\u4f55\u5b66\u306e\u539f\u7406\u306f\u3001\u306b\u57fa\u3065\u3044\u3066\u3044\u307e\u3059 \u4ee3\u6570 \u6700\u7d42\u7684\u306a\u5bf8\u6cd5\u5ea7\u6a19\u30d9\u30af\u30c8\u30eb\u30eb\u30fc\u30e0\u306e\u4e8c\u91cd\u30b9\u30da\u30fc\u30b9 k n + \u521d\u3081 {displaystyle k^{n+1}} \u3001\u30e1\u30a4\u30f3\u306e\u8a18\u4e8b\u300c\u30c7\u30e5\u30a2\u30eb\u30b9\u30da\u30fc\u30b9\u300d\u3092\u53c2\u7167\u3057\u3066\u304f\u3060\u3055\u3044\u3002\u30ec\u30d9\u30eb\u30b8\u30aa\u30e1\u30c8\u30ea\u306e\u30a2\u30d7\u30ea\u30b1\u30fc\u30b7\u30e7\u30f3\u306e\u4f8b\u306f\u3001\u30bb\u30af\u30b7\u30e7\u30f3\u300c\u5c04\u5f71\u5e7e\u4f55\u5b66\u306e\u4e8c\u91cd\u306e\u539f\u7406\u3068\u5165\u5c04\u69cb\u9020\u300d\u306e\u30bb\u30af\u30b7\u30e7\u30f3\u300c\u4e8c\u91cd\u6027\uff08\u6570\u5b66\uff09\u300d\u306b\u3042\u308a\u307e\u3059\u3002 3\u6b21\u5143\u306e\u4f8b [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] 3\u6b21\u5143\u7a7a\u9593\u3067 k p 3 {displaystyle kp^{3}} \u30b9\u30c8\u30ec\u30fc\u30c8\u306e\u91cf\u3067\u3059\uff08\u30b9\u30c8\u30ec\u30fc\u30c8\u306f\u306e2\u6b21\u5143\u30b5\u30d6\u30b9\u30da\u30fc\u30b9\u306b\u5bfe\u5fdc\u3057\u307e\u3059 k 4 {displaystyle k^{4}} \uff09\u3042\u306a\u305f\u81ea\u8eab\u306b\u30c7\u30e5\u30a2\u30eb\u3002\u30b3\u30f3\u30af\u30ea\u30fc\u30c8\u30b9\u30c8\u30ec\u30fc\u30c8 g = \u27e8 \u305d\u3046\u3067\u3059 0\u3001 \u305d\u3046\u3067\u3059 1\u27e9 = { [ r,s,0,0] \uff1a \uff08 r \u3001 s \uff09\uff09 \u2208 k 2\u2216 { 0 } } {displaystyle g = langle e_ {0}\u3001e_ {1} rangle = lbrace left [r\u3001s\u30010,0right]\uff1a;\uff08r\u3001s\uff09in k^{2} setminus lbrace 0rbrace rbrace} \u30c7\u30e5\u30a2\u30eb\u3067\u3059 g D= { [ x0,x1,x2,x3] \uff1a \uff08 \u30d0\u30c4 0\u3001 \u30d0\u30c4 1\u3001 \u30d0\u30c4 2\u3001 \u30d0\u30c4 3\uff09\uff09 \u2208 k 4\u2216 { 0 } \u3001 \u30d0\u30c4 0= \u30d0\u30c4 1= 0 } = \u27e8 \u305d\u3046\u3067\u3059 2\u3001 \u305d\u3046\u3067\u3059 3\u27e9 {displaystyle g^{d} = lbrace left [x_ {0}\u3001x_ {1}\u3001x_ {2}\u3001x_ {3}\u53f3] \ud83d\ude41 x_ {0}\u3001x_ {1}\u3001x_ {2}\u3001x_ {3}\uff09 rbrace = langle e_ {2}\u3001e_ {3} rangle} \u3053\u308c\u30821\u3064\u3067\u3059 g {displaystyle g}  Windschiefe \u771f\u3063\u76f4\u3050\uff01\u58f0\u660e\u300c\u30b9\u30c8\u30ec\u30fc\u30c8 g {displaystyle g} \u3068 g d {displaystyle g^{d}} \u304a\u4e92\u3044\u3092\u5207\u65ad\u3057\u306a\u3044\u3067\u304f\u3060\u3055\u3044\u300d\u3068\u306f\u300c\u306e\u63a5\u7d9a\u5ba4\u306b\u4e8c\u91cd\u3067\u3059 g d {displaystyle g^{d}} \u3068 g {displaystyle g} 3\u6b21\u5143\u7a7a\u9593\u5168\u4f53\u3067\u3059\u300d\u30022\u3064\u306e\u98a8\u306e\u30b9\u30ec\u30fc\u30c8\u306e\u5834\u5408 g {displaystyle g} \u3068 h {displaystyle h} \u3044\u3064\u3067\u3082\u30dd\u30a4\u30f3\u30c8\u30d9\u30fc\u30b9\u3092\u9078\u3076\u3053\u3068\u304c\u3067\u304d\u307e\u3059 g d = h {displaystyle g^{d} = h} \u4ee5\u4e0b –  2\u3064\u306e\u7dda\u5f62\u975e\u4f9d\u5b58\u6027\u3001\u5404\u30b9\u30c8\u30ec\u30fc\u30c8\u306e\u751f\u6210\u30d9\u30af\u30c8\u30eb\u3092\u9078\u629e\u3057\u3001\u3053\u308c\u3089\u306e4\u3064\u306e\u30d9\u30af\u30c8\u30eb\u3092\u5408\u8a08\u306e\u5358\u4f4d\u70b9\u3068\u3057\u3066\u30b5\u30d7\u30ea\u30e1\u30f3\u30c8\u3057\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u300c2\u3064\u306e\u30b9\u30c8\u30ec\u30fc\u30c8\u30ab\u30c3\u30c8\u306f\u4e92\u3044\u306b\u30ab\u30c3\u30c8\u3055\u308c\u306a\u3044\u300d\u3068\u300c\u300cWindschief\u300d\u30d7\u30ed\u30d1\u30c6\u30a3\u306e\u30c7\u30e5\u30a2\u30eb\u8a18\u8ff0\u306e\u90e8\u5c4b\u306e2\u3064\u306e\u30b9\u30c8\u30ec\u30fc\u30c8\u7dca\u5f35\u3002 \u5bfe\u7167\u7684\u306b\u3001\u58f0\u660e\u306f ” g {displaystyle g} \u3068 h {displaystyle h} 1\u3064\u306e\u30dd\u30a4\u30f3\u30c8\u3067\u30ab\u30c3\u30c8\u300d\u3068\u300c g {displaystyle g} \u3068 h {displaystyle h} \u6700\u521d\u306e\u30b9\u30c6\u30fc\u30c8\u30e1\u30f3\u30c8\u306f\u3044\u304f\u3064\u304b\u306e\u76f4\u7dda\u306b\u9069\u7528\u3055\u308c\u305a\u3001\u4ed6\u306e\u76f4\u7dda\u304b\u3089\u306e\u4e8c\u91cd\u30b9\u30c6\u30fc\u30c8\u30e1\u30f3\u30c8\u3092\u6271\u3046\u305f\u3081\u3001\u300c\u540c\u7b49\u3067\u3059\u304c\u3001\u4e92\u3044\u306b\u4e8c\u91cd\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u3002 \u2191  \u30d8\u30eb\u30de\u30f3\u30b9\u30b1\u30fc\u30eb\uff1a \u7dda\u5f62\u4ee3\u6570\u3068\u5206\u6790\u30b8\u30aa\u30e1\u30c8\u30ea\u3001\u30dc\u30ea\u30e5\u30fc\u30e0II \u3001P\u3002153\u3001Vieby 1980\u3001ISBN 3-528-13057-1       (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\/wiki11\/#breadcrumbitem","name":"Enzyklop\u00e4die"}},{"@type":"ListItem","position":2,"item":{"@id":"https:\/\/wiki.edu.vn\/all2jp\/wiki11\/archives\/21125#breadcrumbitem","name":"\u5c04\u5f71\u5ea7\u6a19\u7cfb – \u30a6\u30a3\u30ad\u30da\u30c7\u30a3\u30a2"}}]}]