[{"@context":"http:\/\/schema.org\/","@type":"BlogPosting","@id":"https:\/\/wiki.edu.vn\/all2jp\/wiki11\/archives\/22503#BlogPosting","mainEntityOfPage":"https:\/\/wiki.edu.vn\/all2jp\/wiki11\/archives\/22503","headline":"Hessesche Normal\u30d5\u30a9\u30fc\u30e0-Wikipedia","name":"Hessesche Normal\u30d5\u30a9\u30fc\u30e0-Wikipedia","description":"before-content-x4 \u30d8\u30c3\u30bb\u30b7\u30e5\u901a\u5e38\u306e\u30d5\u30a9\u30fc\u30e0 \u3001 \u30d8\u30c3\u30bb\u901a\u5e38\u306e\u5f62 \u307e\u305f \u30d8\u30c3\u30bb\u30b7\u30e5\u901a\u5e38\u306e\u30d5\u30a9\u30fc\u30e0 \u6570\u5b66\u306e\u76f4\u7dda\u307e\u305f\u306f\u30d5\u30e9\u30c3\u30c8\u65b9\u7a0b\u5f0f\u306e\u7279\u5225\u306a\u5f62\u5f0f\u3067\u3059\u3002\u30d8\u30c3\u30bb\u30c3\u30b7\u30e5\u306e\u901a\u5e38\u306e\u5f62\u306f\u3001\u3057\u3070\u3057\u3070\u30dd\u30a4\u30f3\u30c8\u306e\u8ddd\u96e2\u3092\u76f4\u7dda\u306b\u4e0e\u3048\u308b\u306e\u306b\u5f79\u7acb\u3061\u307e\u3059\uff08im r 2 {displaystyle mathbb {r} ^{2}} after-content-x4 \u307e\u305f\u306f\u30ec\u30d9\u30eb\uff08im r 3 {displaystyle mathbb {r}","datePublished":"2023-06-13","dateModified":"2023-06-13","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\/e150115ab9f63023215109595b76686a1ff890fd","url":"https:\/\/wikimedia.org\/api\/rest_v1\/media\/math\/render\/svg\/e150115ab9f63023215109595b76686a1ff890fd","height":"","width":""},"url":"https:\/\/wiki.edu.vn\/all2jp\/wiki11\/archives\/22503","wordCount":12899,"articleBody":"     (adsbygoogle = window.adsbygoogle || []).push({});before-content-x4 \u30d8\u30c3\u30bb\u30b7\u30e5\u901a\u5e38\u306e\u30d5\u30a9\u30fc\u30e0 \u3001 \u30d8\u30c3\u30bb\u901a\u5e38\u306e\u5f62 \u307e\u305f \u30d8\u30c3\u30bb\u30b7\u30e5\u901a\u5e38\u306e\u30d5\u30a9\u30fc\u30e0 \u6570\u5b66\u306e\u76f4\u7dda\u307e\u305f\u306f\u30d5\u30e9\u30c3\u30c8\u65b9\u7a0b\u5f0f\u306e\u7279\u5225\u306a\u5f62\u5f0f\u3067\u3059\u3002\u30d8\u30c3\u30bb\u30c3\u30b7\u30e5\u306e\u901a\u5e38\u306e\u5f62\u306f\u3001\u3057\u3070\u3057\u3070\u30dd\u30a4\u30f3\u30c8\u306e\u8ddd\u96e2\u3092\u76f4\u7dda\u306b\u4e0e\u3048\u308b\u306e\u306b\u5f79\u7acb\u3061\u307e\u3059\uff08im r 2 {displaystyle mathbb {r} ^{2}}        (adsbygoogle = window.adsbygoogle || []).push({});after-content-x4\u307e\u305f\u306f\u30ec\u30d9\u30eb\uff08im r 3 {displaystyle mathbb {r} ^{3}} \uff09\u8a08\u7b97\u3057\u307e\u3059\u3002\u30c9\u30a4\u30c4\u306e\u6570\u5b66\u8005\u3067\u3042\u308b\u30aa\u30c3\u30c8\u30fc\u30fb\u30d8\u30c3\u30bb\u306b\u3061\u306a\u3093\u3067\u540d\u4ed8\u3051\u3089\u308c\u307e\u3057\u305f\u3002         (adsbygoogle = window.adsbygoogle || []).push({});after-content-x4\u76f4\u7dda\u65b9\u7a0b\u5f0f\u306e\u30d8\u30c3\u30bb\u30b7\u30e5\u6b63\u5e38\u5f62 15\u30d0\u30c4 + 25\u3068  –  65= 0 {displaystyle {tfrac {1} {sqrt {5}}}\u3001x+{tfrac {2} {sqrt {5}}}\u3001y- {6} {sqrt {5}}}}}}}} Table of Contents\u30d9\u30af\u30c8\u30eb\u5f62\u5f0f [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u4f8b [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u8a08\u7b97 [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u8ddd\u96e2\u8a08\u7b97 [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u5ea7\u6a19\u30d5\u30a9\u30fc\u30e0 [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u63cf\u5199 [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u4f8b [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u8a08\u7b97 [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u8ddd\u96e2 [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u30b9\u30da\u30fc\u30b5\u30fc [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u30d9\u30af\u30c8\u30eb\u5f62\u5f0f [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u30d8\u30c3\u30bb\u306e\u901a\u5e38\u306e\u5f62\u3067\u306f\u3001\u6a19\u6e96\u5316\u3055\u308c\u305f\u901a\u5e38\u306e\u30d9\u30af\u30c8\u30eb\u306f\u30e6\u30fc\u30af\u30ea\u30c3\u30c9\u30ec\u30d9\u30eb\u306b\u3042\u308a\u307e\u3059 n\u21920 {displaystyle {vec {n}} _ {0}} \u76f4\u7dda\u306e\uff08\u901a\u5e38\u306e\u30e6\u30cb\u30c3\u30c8\u30d9\u30af\u30c8\u30eb\uff09\u3001\u304a\u3088\u3073\u305d\u306e\u8ddd\u96e2        (adsbygoogle = window.adsbygoogle || []).push({});after-content-x4d \u2265 0 {displaystyle dgeq 0} \u5ea7\u6a19\u8d77\u70b9\u306b\u3088\u3063\u3066\u8a18\u8ff0\u3055\u308c\u3066\u3044\u307e\u3059\u3002\u76f4\u7dda\u306f\u3001\u30ec\u30d9\u30eb\u4e0a\u306e\u305d\u308c\u3089\u306e\u30dd\u30a4\u30f3\u30c8\u3001\u305d\u308c\u3089\u306e\u30ed\u30fc\u30ab\u30eb\u30d9\u30af\u30bf\u30fc\u3067\u69cb\u6210\u3055\u308c\u3066\u3044\u307e\u3059 x\u2192{displaystyle {vec {x}}} \u65b9\u7a0b\u5f0f x\u2192de n\u21920 –  d = 0 {displaystyle {thing {x}} cdot {thing {n}} _ {0} -d = 0} \u6e80\u305f\u3059\u3002\u3053\u3061\u3089\u3092\u53c2\u7167\u3057\u3066\u304f\u3060\u3055\u3044 de {displaystyledot} \u30b9\u30ab\u30e9\u30fc\u88fd\u54c1\u3002 \u901a\u5e38\u306e\u30d9\u30af\u30c8\u30eb\u306f\u3001\u30b9\u30c8\u30ec\u30fc\u30c8\u306b\u76f4\u4ea4\u3059\u308b\u30d9\u30af\u30c8\u30eb\u3067\u3059d\u3002 H.\u305d\u308c\u306b\u76f4\u89d2\u3092\u5f62\u6210\u3057\u307e\u3059\u3002 \u901a\u5e38\u306e\u30e6\u30cb\u30c3\u30c8\u30d9\u30af\u30c8\u30eb\u3068\u3057\u3066\u3001\u305d\u308c\u306f\u9577\u3055\u3067\u306a\u3051\u308c\u3070\u306a\u308a\u307e\u305b\u3093 | n\u21920 | = \u521d\u3081 {displaystyle | {vec {n}} _ {0} | = 1} \u5f7c\u306f\u5ea7\u6a19\u30b8\u30e3\u30f3\u30d7\u304b\u3089\u76f4\u7dda\u306b\u5411\u304b\u3063\u3066\u6307\u3057\u3066\u3044\u308b\u5fc5\u8981\u304c\u3042\u308b\u306e\u3067\u3001\u305d\u308c\u306f\u3057\u306a\u3051\u308c\u3070\u306a\u308a\u307e\u305b\u3093 x\u2192de n\u21920 \u2265 0 {displaystyle {thing {x}} cdot {thing {n}} _ {0} geq 0} \u6709\u52b9\u3067\u3059\u3002 \u30d8\u30c3\u30bb\u306e\u901a\u5e38\u306e\u5f62\u3067\u306f\u3001\u76f4\u7dda\u306e\u30dd\u30a4\u30f3\u30c8\u306f\u3001\u307e\u3063\u3059\u3050\u306a\u30dd\u30a4\u30f3\u30c8\u306e\u5c40\u6240\u30d9\u30af\u30c8\u30eb\u304b\u3089\u306e\u30b9\u30ab\u30e9\u30fc\u7a4d\u3068\u30b2\u30e9\u30c7\u30f3\u306e\u901a\u5e38\u306e\u30d9\u30af\u30c8\u30eb\u304c\u3001\u539f\u70b9\u304b\u3089\u306e\u76f4\u7dda\u306e\u8ddd\u96e2\u306b\u7b49\u3057\u3044\u3068\u3044\u3046\u4e8b\u5b9f\u306b\u3088\u3063\u3066\u6697\u9ed9\u7684\u306b\u5b9a\u7fa9\u3055\u308c\u307e\u3059\u3002\u30ed\u30fc\u30ab\u30eb\u30d9\u30af\u30c8\u30eb\u306e1\u3064\u306e\u30dd\u30a4\u30f3\u30c8 x\u2192{displaystyle {vec {x}}} \u65b9\u7a0b\u5f0f\u306f\u6e80\u305f\u3055\u308c\u307e\u305b\u3093 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